Publisher: Cambridge University Press   (Total: 387 journals)

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Showing 1 - 200 of 387 Journals sorted alphabetically
Acta Neuropsychiatrica     Hybrid Journal   (Followers: 6, SJR: 0.733, CiteScore: 2)
Acta Numerica     Hybrid Journal   (Followers: 5, SJR: 6.709, CiteScore: 10)
Advances in Animal Biosciences     Full-text available via subscription   (Followers: 14)
Advances in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 2, SJR: 0.441, CiteScore: 1)
Aeronautical J., The     Hybrid Journal   (Followers: 7)
Africa     Hybrid Journal   (Followers: 21, SJR: 0.582, CiteScore: 1)
African Studies Review     Full-text available via subscription   (Followers: 21, SJR: 0.437, CiteScore: 1)
Ageing & Society     Hybrid Journal   (Followers: 44, SJR: 0.756, CiteScore: 2)
Agricultural and Resource Economics Review     Open Access   (Followers: 7, SJR: 0.414, CiteScore: 1)
AI EDAM     Hybrid Journal   (Followers: 2, SJR: 0.375, CiteScore: 1)
AJIL Unbound     Open Access  
AJS Review     Full-text available via subscription   (Followers: 4, SJR: 0.128, CiteScore: 0)
American Political Science Review     Hybrid Journal   (Followers: 322, SJR: 5.587, CiteScore: 4)
Anatolian Studies     Full-text available via subscription   (Followers: 5, SJR: 0.528, CiteScore: 1)
Ancient Mesoamerica     Hybrid Journal   (Followers: 12, SJR: 0.478, CiteScore: 1)
Anglo-Saxon England     Hybrid Journal   (Followers: 36, SJR: 0.1, CiteScore: 0)
animal     Hybrid Journal   (Followers: 4, SJR: 0.842, CiteScore: 2)
Animal Health Research Reviews     Hybrid Journal   (Followers: 3, SJR: 0.69, CiteScore: 2)
Animal Science     Full-text available via subscription   (Followers: 10)
Annals of Actuarial Science     Full-text available via subscription   (Followers: 1)
Annual of the British School at Athens     Full-text available via subscription   (Followers: 17, SJR: 0.177, CiteScore: 0)
Annual Review of Applied Linguistics     Hybrid Journal   (Followers: 43, SJR: 3.223, CiteScore: 4)
Antarctic Science     Hybrid Journal   (Followers: 1, SJR: 0.643, CiteScore: 1)
Antichthon     Full-text available via subscription   (Followers: 3, SJR: 0.101, CiteScore: 0)
Antiquaries J., The     Full-text available via subscription   (Followers: 12, SJR: 0.106, CiteScore: 0)
Antiquity     Hybrid Journal   (Followers: 33)
ANZIAM J.     Open Access   (Followers: 1, SJR: 0.216, CiteScore: 0)
Applied Psycholinguistics     Hybrid Journal   (Followers: 25, SJR: 0.945, CiteScore: 2)
APSIPA Transactions on Signal and Information Processing     Open Access   (Followers: 9, SJR: 0.404, CiteScore: 2)
Arabic Sciences and Philosophy     Hybrid Journal   (Followers: 9, SJR: 0.101, CiteScore: 0)
Arbor Clinical Nutrition Updates     Full-text available via subscription   (Followers: 5)
Archaeological Dialogues     Hybrid Journal   (Followers: 36, SJR: 0.898, CiteScore: 1)
Archaeological Reports     Full-text available via subscription   (Followers: 5, SJR: 0.128, CiteScore: 0)
Architectural History     Full-text available via subscription  
arq: Architectural Research Quarterly     Hybrid Journal   (Followers: 7, SJR: 0.123, CiteScore: 0)
Art Libraries J.     Full-text available via subscription   (Followers: 1)
Asian J. of Comparative Law     Hybrid Journal   (Followers: 11, SJR: 0.129, CiteScore: 0)
Asian J. of Intl. Law     Hybrid Journal   (Followers: 18, SJR: 0.135, CiteScore: 0)
Asian J. of Law and Society     Hybrid Journal   (Followers: 7, SJR: 0.195, CiteScore: 0)
Astin Bulletin     Full-text available via subscription   (Followers: 1, SJR: 0.878, CiteScore: 1)
Australasian J. of Organisational Psychology     Hybrid Journal   (Followers: 9, SJR: 0.154, CiteScore: 1)
Australian J. of Environmental Education     Full-text available via subscription   (Followers: 9, SJR: 0.403, CiteScore: 1)
Australian J. of Indigenous Education, The     Full-text available via subscription   (Followers: 11, SJR: 0.26, CiteScore: 1)
Australian J. of Rehabilitation Counseling     Full-text available via subscription   (Followers: 6, SJR: 0.144, CiteScore: 0)
Austrian History Yearbook     Full-text available via subscription   (Followers: 11, SJR: 0.161, CiteScore: 0)
Behavioral and Brain Sciences     Hybrid Journal   (Followers: 39, SJR: 0.595, CiteScore: 1)
Behaviour Change     Full-text available via subscription   (Followers: 13, SJR: 0.508, CiteScore: 1)
Behavioural and Cognitive Psychotherapy     Hybrid Journal   (Followers: 181, SJR: 0.976, CiteScore: 2)
Bilingualism: Language and Cognition     Hybrid Journal   (Followers: 44, SJR: 1.446, CiteScore: 2)
Biofilms     Full-text available via subscription   (Followers: 2)
Bird Conservation Intl.     Hybrid Journal   (Followers: 25, SJR: 0.581, CiteScore: 1)
BJPsych Advances     Full-text available via subscription   (Followers: 57, SJR: 0.275, CiteScore: 0)
BJPsych Intl.     Open Access   (Followers: 2)
BJPsych Open     Open Access   (Followers: 3)
Brain Impairment     Full-text available via subscription   (Followers: 2, SJR: 0.321, CiteScore: 1)
Breast Cancer Online     Full-text available via subscription   (Followers: 5)
Britannia     Full-text available via subscription   (Followers: 11, SJR: 0.111, CiteScore: 0)
British Actuarial J.     Full-text available via subscription  
British Catholic History     Hybrid Journal   (Followers: 2, SJR: 0.133, CiteScore: 1)
British J. for the History of Science     Hybrid Journal   (Followers: 25, SJR: 0.235, CiteScore: 0)
British J. of Anaesthetic and Recovery Nursing     Full-text available via subscription   (Followers: 8)
British J. of Music Education     Hybrid Journal   (Followers: 24, SJR: 0.564, CiteScore: 1)
British J. Of Nutrition     Hybrid Journal   (Followers: 92, SJR: 1.612, CiteScore: 4)
British J. of Political Science     Hybrid Journal   (Followers: 222, SJR: 4.661, CiteScore: 4)
British J. of Psychiatry     Hybrid Journal   (Followers: 231, SJR: 2.844, CiteScore: 3)
Bulletin of Entomological Research     Hybrid Journal   (Followers: 13, SJR: 0.805, CiteScore: 2)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2, SJR: 0.555, CiteScore: 1)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2, SJR: 0.44, CiteScore: 0)
Bulletin of the School of Oriental and African Studies     Hybrid Journal   (Followers: 21, SJR: 0.146, CiteScore: 0)
Business and Human Rights J.     Full-text available via subscription   (Followers: 4, SJR: 0.536, CiteScore: 1)
Business Ethics Quarterly     Full-text available via subscription   (Followers: 18, SJR: 1.098, CiteScore: 2)
Business History Review     Hybrid Journal   (Followers: 16, SJR: 0.347, CiteScore: 1)
Cambridge Archaeological J.     Hybrid Journal   (Followers: 155, SJR: 1.121, CiteScore: 1)
Cambridge Classical J.     Full-text available via subscription   (Followers: 24, SJR: 0.101, CiteScore: 0)
Cambridge J. of Postcolonial Literary Inquiry     Hybrid Journal   (Followers: 7)
Cambridge Law J.     Hybrid Journal   (Followers: 203, SJR: 0.213, CiteScore: 0)
Cambridge Opera J.     Hybrid Journal   (Followers: 4, SJR: 0.14, CiteScore: 0)
Cambridge Quarterly of Healthcare Ethics     Hybrid Journal   (Followers: 11, SJR: 0.299, CiteScore: 1)
Cambridge Yearbook of European Legal Studies     Full-text available via subscription  
Camden Fifth Series     Full-text available via subscription   (Followers: 3)
Canadian Entomologist     Hybrid Journal   (Followers: 5, SJR: 0.482, CiteScore: 1)
Canadian J. of Emergency Medicine     Hybrid Journal   (Followers: 13, SJR: 0.624, CiteScore: 1)
Canadian J. of Law & Jurisprudence     Full-text available via subscription   (Followers: 11, SJR: 0.237, CiteScore: 0)
Canadian J. of Law and Society     Hybrid Journal   (Followers: 20, SJR: 0.259, CiteScore: 1)
Canadian J. of Mathematics / J. canadien de mathématiques     Hybrid Journal  
Canadian J. of Neurological Sciences     Full-text available via subscription   (SJR: 0.549, CiteScore: 1)
Canadian J. of Political Science/Revue canadienne de science politique     Full-text available via subscription   (Followers: 25, SJR: 0.385, CiteScore: 1)
Canadian J. on Aging     Hybrid Journal   (Followers: 13, SJR: 0.426, CiteScore: 1)
Canadian Mathematical Bulletin     Hybrid Journal  
Canadian Yearbook of Intl. Law / Annuaire canadien de droit international     Full-text available via subscription   (Followers: 3)
Cardiology in the Young     Hybrid Journal   (Followers: 34, SJR: 0.372, CiteScore: 1)
Central European History     Full-text available via subscription   (Followers: 33, SJR: 0.159, CiteScore: 0)
Children Australia     Partially Free   (Followers: 2, SJR: 0.255, CiteScore: 0)
China Quarterly     Hybrid Journal   (Followers: 54, SJR: 2.289, CiteScore: 3)
Chinese J. of Agricultural Biotechnology     Full-text available via subscription   (Followers: 4)
Church History : Studies in Christianity and Culture     Full-text available via subscription   (Followers: 77, SJR: 0.106, CiteScore: 0)
Classical Quarterly     Full-text available via subscription   (Followers: 36, SJR: 0.204, CiteScore: 0)
Classical Review     Full-text available via subscription   (Followers: 29)
CNS Spectrums     Hybrid Journal   (Followers: 3, SJR: 1.391, CiteScore: 3)
Cognitive Behaviour Therapist     Hybrid Journal   (Followers: 14)
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4, SJR: 0.839, CiteScore: 1)
Communications in Computational Physics     Full-text available via subscription   (Followers: 3, SJR: 1.048, CiteScore: 2)
Comparative Studies in Society and History     Full-text available via subscription   (Followers: 49, SJR: 0.585, CiteScore: 1)
Compositio Mathematica     Full-text available via subscription   (SJR: 3.139, CiteScore: 1)
Contemporary European History     Hybrid Journal   (Followers: 35, SJR: 0.263, CiteScore: 1)
Continuity and Change     Hybrid Journal   (Followers: 12, SJR: 0.107, CiteScore: 0)
Dance Research J.     Full-text available via subscription   (Followers: 17, SJR: 0.211, CiteScore: 0)
Development and Psychopathology     Hybrid Journal   (Followers: 9, SJR: 2.068, CiteScore: 4)
Dialogue Canadian Philosophical Review/Revue canadienne de philosophie     Full-text available via subscription   (Followers: 5, SJR: 0.156, CiteScore: 0)
Diamond Light Source Proceedings     Full-text available via subscription   (Followers: 1)
Disaster Medicine and Public Health Preparedness     Hybrid Journal   (Followers: 15, SJR: 0.471, CiteScore: 1)
Du Bois Review: Social Science Research on Race     Full-text available via subscription   (Followers: 10, SJR: 0.561, CiteScore: 1)
Early China     Hybrid Journal   (Followers: 3)
Early Music History     Hybrid Journal   (Followers: 9, SJR: 0.101, CiteScore: 0)
Earth and Environmental Science Transactions of the Royal Society of Edinburgh     Hybrid Journal   (Followers: 5)
East Asian J. on Applied Mathematics     Full-text available via subscription   (SJR: 0.418, CiteScore: 1)
Ecclesiastical Law J.     Full-text available via subscription   (Followers: 6, SJR: 0.114, CiteScore: 0)
Econometric Theory     Hybrid Journal   (Followers: 18, SJR: 2.915, CiteScore: 1)
Economics and Philosophy     Hybrid Journal   (Followers: 18, SJR: 0.622, CiteScore: 1)
Edinburgh J. of Botany     Hybrid Journal   (SJR: 0.283, CiteScore: 1)
Educational and Developmental Psychologist     Full-text available via subscription   (Followers: 10, SJR: 0.146, CiteScore: 0)
Eighteenth-Century Music     Hybrid Journal   (Followers: 15, SJR: 0.113, CiteScore: 0)
English Language and Linguistics     Hybrid Journal   (Followers: 24, SJR: 0.52, CiteScore: 1)
English Profile J.     Hybrid Journal   (Followers: 2)
English Today     Hybrid Journal   (Followers: 13, SJR: 0.279, CiteScore: 0)
Enterprise & Society : The Intl. J. of Business History     Hybrid Journal   (Followers: 18, SJR: 0.245, CiteScore: 1)
Environment and Development Economics     Hybrid Journal   (Followers: 39, SJR: 0.617, CiteScore: 1)
Environmental Conservation     Hybrid Journal   (Followers: 60, SJR: 1.028, CiteScore: 2)
Environmental Practice     Full-text available via subscription   (Followers: 3, SJR: 0.145, CiteScore: 0)
Epidemiology & Infection     Hybrid Journal   (Followers: 22, SJR: 1.128, CiteScore: 2)
Epidemiology and Psychiatric Sciences     Hybrid Journal   (Followers: 3, SJR: 1.494, CiteScore: 2)
Episteme     Hybrid Journal   (Followers: 12, SJR: 0.756, CiteScore: 1)
Ergodic Theory and Dynamical Systems     Hybrid Journal   (Followers: 2, SJR: 1.193, CiteScore: 1)
Ethics & Intl. Affairs     Full-text available via subscription   (Followers: 17, SJR: 0.557, CiteScore: 1)
European Constitutional Law Review (EuConst)     Full-text available via subscription   (Followers: 35, SJR: 1.009, CiteScore: 1)
European J. of Applied Mathematics     Hybrid Journal   (SJR: 0.52, CiteScore: 1)
European J. of Intl. Security     Hybrid Journal   (Followers: 1)
European J. of Sociology     Hybrid Journal   (Followers: 36, SJR: 0.643, CiteScore: 1)
European Political Science Review     Hybrid Journal   (Followers: 27, SJR: 1.816, CiteScore: 2)
European Review     Hybrid Journal   (Followers: 19, SJR: 0.131, CiteScore: 0)
Evolutionary Human Sciences     Open Access  
Experimental Agriculture     Hybrid Journal   (Followers: 14, SJR: 0.542, CiteScore: 1)
Expert Reviews in Molecular Medicine     Hybrid Journal   (Followers: 1, SJR: 1.647, CiteScore: 4)
Fetal and Maternal Medicine Review     Hybrid Journal   (Followers: 6)
Financial History Review     Full-text available via subscription   (Followers: 15, SJR: 0.238, CiteScore: 1)
Foreign Policy Bulletin     Hybrid Journal   (Followers: 6)
Forum of Mathematics, Pi     Open Access   (Followers: 1)
Forum of Mathematics, Sigma     Open Access   (Followers: 1)
Genetics Research     Hybrid Journal   (Followers: 4, SJR: 0.483, CiteScore: 1)
Geological Magazine     Hybrid Journal   (Followers: 16, SJR: 0.966, CiteScore: 2)
Glasgow Mathematical J.     Full-text available via subscription   (SJR: 0.604, CiteScore: 0)
Global Constitutionalism     Hybrid Journal   (Followers: 17)
Global Mental Health     Open Access   (Followers: 9)
Global Sustainability     Open Access   (Followers: 1)
Government and Opposition     Full-text available via subscription   (Followers: 24, SJR: 0.965, CiteScore: 2)
Greece & Rome     Partially Free   (Followers: 30, SJR: 0.113, CiteScore: 0)
Hague J. on the Rule of Law     Full-text available via subscription   (Followers: 14, SJR: 0.271, CiteScore: 1)
Harvard Theological Review     Full-text available via subscription   (Followers: 77, SJR: 0.165, CiteScore: 0)
Health Economics, Policy and Law     Hybrid Journal   (Followers: 29, SJR: 0.745, CiteScore: 1)
Hegel Bulletin     Full-text available via subscription   (Followers: 2)
High Power Laser Science and Engineering     Open Access   (Followers: 3, SJR: 0.901, CiteScore: 3)
Historical J.     Hybrid Journal   (Followers: 39, SJR: 0.247, CiteScore: 1)
History in Africa     Full-text available via subscription   (Followers: 9)
Horizons     Partially Free   (Followers: 1, SJR: 0.129, CiteScore: 0)
Industrial and Organizational Psychology     Hybrid Journal   (Followers: 27, SJR: 0.916, CiteScore: 1)
Infection Control and Hospital Epidemiology     Full-text available via subscription   (Followers: 43, SJR: 1.97, CiteScore: 3)
Intl. & Comparative Law Quarterly     Full-text available via subscription   (Followers: 261, SJR: 0.369, CiteScore: 1)
Intl. Annals of Criminology     Full-text available via subscription  
Intl. J. of Asian Studies     Hybrid Journal   (Followers: 13, SJR: 0.143, CiteScore: 0)
Intl. J. of Astrobiology     Hybrid Journal   (Followers: 4, SJR: 0.548, CiteScore: 1)
Intl. J. of Cultural Property     Full-text available via subscription   (Followers: 13, SJR: 0.253, CiteScore: 1)
Intl. J. of Disability Management Research     Full-text available via subscription   (Followers: 9, SJR: 0.105, CiteScore: 0)
Intl. J. of Law in Context     Hybrid Journal   (Followers: 17, SJR: 0.275, CiteScore: 1)
Intl. J. of Legal Information     Full-text available via subscription   (Followers: 342)
Intl. J. of Microwave and Wireless Technologies     Hybrid Journal   (Followers: 10, SJR: 0.184, CiteScore: 1)
Intl. J. of Middle East Studies     Hybrid Journal   (Followers: 72, SJR: 0.434, CiteScore: 0)
Intl. J. of Technology Assessment in Health Care     Hybrid Journal   (Followers: 14, SJR: 0.714, CiteScore: 1)
Intl. Labor and Working-Class History     Full-text available via subscription   (Followers: 14, SJR: 0.182, CiteScore: 0)
Intl. Organization     Full-text available via subscription   (Followers: 108, SJR: 8.527, CiteScore: 5)
Intl. Psychogeriatrics     Hybrid Journal   (Followers: 12, SJR: 1.048, CiteScore: 2)
Intl. Review of Social History     Full-text available via subscription   (Followers: 27, SJR: 0.315, CiteScore: 1)
Intl. Review of the Red Cross     Full-text available via subscription   (Followers: 13, SJR: 0.214, CiteScore: 0)
Intl. Theory: A J. of Intl. Politics, Law and Philosophy     Hybrid Journal   (Followers: 19, SJR: 2.293, CiteScore: 2)
Iraq     Full-text available via subscription   (Followers: 4)
Irish Historical Studies     Hybrid Journal   (Followers: 7, SJR: 0.103, CiteScore: 0)
Irish J. of Psychological Medicine     Hybrid Journal   (Followers: 2, SJR: 0.221, CiteScore: 0)
Israel Law Review     Hybrid Journal   (Followers: 2, SJR: 0.165, CiteScore: 0)
Italian Political Science Review / Rivista Italiana di Scienza Politica     Hybrid Journal  
Itinerario     Full-text available via subscription   (Followers: 11, SJR: 0.158, CiteScore: 0)
J. of African History     Hybrid Journal   (Followers: 22, SJR: 0.348, CiteScore: 1)
J. of African Law     Full-text available via subscription   (Followers: 3, SJR: 0.113, CiteScore: 0)
J. of Agricultural and Applied Economics     Open Access   (Followers: 3, SJR: 0.263, CiteScore: 1)
J. of Agricultural Science     Full-text available via subscription   (Followers: 8, SJR: 0.563, CiteScore: 1)
J. of American Studies     Hybrid Journal   (Followers: 20, SJR: 0.164, CiteScore: 0)
J. of Anglican Studies     Hybrid Journal   (Followers: 7, SJR: 0.101, CiteScore: 0)
J. of Applied Animal Nutrition     Hybrid Journal   (Followers: 4)
J. of Asian Studies     Full-text available via subscription   (Followers: 42, SJR: 0.591, CiteScore: 1)
J. of Benefit-Cost Analysis     Hybrid Journal   (Followers: 4)
J. of Biosocial Science     Hybrid Journal   (Followers: 5, SJR: 0.48, CiteScore: 1)
J. of British Studies     Full-text available via subscription   (Followers: 32, SJR: 0.246, CiteScore: 0)

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Similar Journals
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European Journal of Applied Mathematics
Journal Prestige (SJR): 0.52
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0956-7925 - ISSN (Online) 1469-4425
Published by Cambridge University Press Homepage  [387 journals]
  • Asymptotic solutions of the Helmholtz equation: Generalised
           Friedlander–Keller ray expansions of fractional order
    • Authors: R. H. TEW
      Pages: 1 - 25
      Abstract: Applications of a WKBJ-type ‘ray ansatz’ to obtain asymptotic solutions of the Helmholtz equation in the high-frequency limit are now standard and underpin the construction of ‘geometrical optics’ ray diagrams in many electromagnetic, acoustic and elastic reflection, transmission and other scattering problems. These applications were subsequently extended by Keller to include other types of rays – called ‘diffracted’ rays – to provide an accessible and impressively accurate theory which is relevant in wide-ranging sets of circumstances. Friedlander and Keller then introduced a modified ray ansatz to extend yet further the scope of ray theory and its applicability to certain other classes of diffraction problems (tangential ray incidence upon an obstructing boundary, for instance) and did so by the inclusion of an extra term proportional to a power of the wave number within the exponent of the initial ansatz. Our purpose here is to generalise this further still by the inclusion of several such terms, ordered in a natural sequence in terms of strategically chosen fractional powers of the large wave number, and to derive a systematic sequence of boundary value problems for the coefficient phase functions that arise within this generalised exponent, as well as one for the leading-order amplitude occurring as a pre-exponential factor. One particular choice of fractional power is considered in detail, and waves with specified radially symmetric or planar wavefronts are then analysed, along with a boundary value problem typifying two-dimensional radiation whereby arbitrary phase and amplitude variations are specified on a prescribed boundary curve. This theory is then applied to the scattering of plane and cylindrical waves at curved boundaries with small-scale perturbations to their underlying profile.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S095679251800044X
      Issue No: Vol. 31, No. 1 (2020)
       
  • Dynamics and asymptotic profiles of endemic equilibrium for two
           frequency-dependent SIS epidemic models with cross-diffusion
    • Authors: HUICONG LI; RUI PENG, TIAN XIANG
      Pages: 26 - 56
      Abstract: This paper is concerned with two frequency-dependent susceptible–infected–susceptible epidemic reaction–diffusion models in heterogeneous environment, with a cross-diffusion term modelling the effect that susceptible individuals tend to move away from higher concentration of infected individuals. It is first shown that the corresponding Neumann initial-boundary value problem in an n-dimensional bounded smooth domain possesses a unique global classical solution which is uniformly in-time bounded regardless of the strength of the cross-diffusion and the spatial dimension n. It is further shown that, even in the presence of cross-diffusion, the models still admit threshold-type dynamics in terms of the basic reproduction number $\mathcal {R}_0$ – i.e. the unique disease-free equilibrium is globally stable if $\mathcal {R}_0\lt1$ , while if $\mathcal {R}_0\gt1$ , the disease is uniformly persistent and there is an endemic equilibrium (EE), which is globally stable in some special cases with weak chemotactic sensitivity. Our results on the asymptotic profiles of EE illustrate that restricting the motility of susceptible population may eliminate the infectious disease entirely for the first model with constant total population but fails for the second model with varying total population. In particular, this implies that such cross-diffusion does not contribute to the elimination of the infectious disease modelled by the second one.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000463
      Issue No: Vol. 31, No. 1 (2020)
       
  • The time-dependent Schrödinger equation with piecewise constant
           potentials
    • Authors: NATALIE E. SHEILS; BERNARD DECONINCK
      Pages: 57 - 83
      Abstract: The linear Schrödinger equation with piecewise constant potential in one spatial dimension is a well-studied textbook problem. It is one of only a few solvable models in quantum mechanics and shares many qualitative features with physically important models. In examples such as ‘particle in a box’ and tunnelling, attention is restricted to the time-independent Schrödinger equation. This paper combines the unified transform method and recent insights for interface problems to present fully explicit solutions for the time-dependent problem.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000475
      Issue No: Vol. 31, No. 1 (2020)
       
  • Asymptotic and transient behaviour for a nonlocal problem arising in
           population genetics
    • Authors: J.-B. BURIE; R. DJIDJOU-DEMASSE, A. DUCROT
      Pages: 84 - 110
      Abstract: This work is devoted to the study of an integro-differential system of equations modelling the genetic adaptation of a pathogen by taking into account both mutation and selection processes. First, we study the asymptotic behaviour of the system and prove that it eventually converges to a stationary state. Next, we more closely investigate the behaviour of the system in the presence of multiple EAs. Under suitable assumptions and based on a small mutation variance asymptotic, we describe the existence of a long transient regime during which the pathogen population remains far from its asymptotic behaviour and highly concentrated around some phenotypic value that is different from the one described by its asymptotic behaviour. In that setting, the time needed for the system to reach its large time configuration is very long and multiple evolutionary attractors may act as a barrier of evolution that can be very long to bypass.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000487
      Issue No: Vol. 31, No. 1 (2020)
       
  • On the avascular ellipsoidal tumour growth model within a nutritive
           environment
    • Authors: GEORGE FRAGOYIANNIS; FOTEINI KARIOTOU, PANAYIOTIS VAFEAS
      Pages: 111 - 142
      Abstract: The present work is part of a series of studies conducted by the authors on analytical models of avascular tumour growth that exhibit both geometrical anisotropy and physical inhomogeneity. In particular, we consider a tumour structure formed in distinct ellipsoidal regions occupied by cell populations at a certain stage of their biological cycle. The cancer cells receive nutrient by diffusion from an inhomogeneous supply and they are subject to also an inhomogeneous pressure field imposed by the tumour microenvironment. It is proved that the lack of symmetry is strongly connected to a special condition that should hold between the data imposed by the tumour’s surrounding medium, in order for the ellipsoidal growth to be realizable, a feature already present in other non-symmetrical yet more degenerate models. The nutrient and the inhibitor concentration, as well as the pressure field, are provided in analytical fashion via closed-form series solutions in terms of ellipsoidal eigenfunctions, while their behaviour is demonstrated by indicative plots. The evolution equation of all the tumour’s ellipsoidal interfaces is postulated in ellipsoidal terms and a numerical implementation is provided in view of its solution. From the mathematical point of view, the ellipsoidal system is the most general coordinate system that the Laplace operator, which dominates the mathematical models of avascular growth, enjoys spectral decomposition. Therefore, we consider the ellipsoidal model presented in this work, as the most general analytic model describing the avascular growth in inhomogeneous environment. Additionally, due to the intrinsic degrees of freedom inherited to the model by the ellipsoidal geometry, the ellipsoidal model presented can be adapted to a very populous class of avascular tumours, varying in figure and in orientation.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000499
      Issue No: Vol. 31, No. 1 (2020)
       
  • Multiscale modelling and homogenisation of fibre-reinforced hydrogels for
           tissue engineering
    • Authors: M. J. CHEN; L. S. KIMPTON, J. P. WHITELEY, M. CASTILHO, J. MALDA, C. P. PLEASE, S. L. WATERS, H. M. BYRNE
      Pages: 143 - 171
      Abstract: Tissue engineering aims to grow artificial tissues in vitro to replace those in the body that have been damaged through age, trauma or disease. A recent approach to engineer artificial cartilage involves seeding cells within a scaffold consisting of an interconnected 3D-printed lattice of polymer fibres combined with a cast or printed hydrogel, and subjecting the construct (cell-seeded scaffold) to an applied load in a bioreactor. A key question is to understand how the applied load is distributed throughout the construct. To address this, we employ homogenisation theory to derive equations governing the effective macroscale material properties of a periodic, elastic–poroelastic composite. We treat the fibres as a linear elastic material and the hydrogel as a poroelastic material, and exploit the disparate length scales (small inter-fibre spacing compared with construct dimensions) to derive macroscale equations governing the response of the composite to an applied load. This homogenised description reflects the orthotropic nature of the composite. To validate the model, solutions from finite element simulations of the macroscale, homogenised equations are compared to experimental data describing the unconfined compression of the fibre-reinforced hydrogels. The model is used to derive the bulk mechanical properties of a cylindrical construct of the composite material for a range of fibre spacings and to determine the local mechanical environment experienced by cells embedded within the construct.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000657
      Issue No: Vol. 31, No. 1 (2020)
       
  • Ooid growth: Uniqueness of time-invariant, smooth shapes in 2D
    • Authors: ANDRÁS A. SIPOS
      Pages: 172 - 182
      Abstract: Evolution of planar curves under a nonlocal geometric equation is investigated. It models the simultaneous contraction and growth of carbonate particles called ooids in geosciences. Using classical ODE results and a bijective mapping, we demonstrate that the steady parameters associated with the physical environment determine a unique, time-invariant, compact shape among smooth, convex curves embedded in ℝ2. It is also revealed that any time-invariant solution possesses D2 symmetry. The model predictions remarkably agree with ooid shapes observed in nature.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S0956792519000019
      Issue No: Vol. 31, No. 1 (2020)
       
  • Systematic derivation of a surface polarisation model for planar
           perovskite solar cells – CORRIGENDUM
    • Authors: N. E. COURTIER; J. M. FOSTER, S. E. J. O’KANE, A. B. WALKER, G. RICHARDSON
      Pages: 183 - 184
      Abstract: Following publication, errors were discovered in the y-axis labels of the electron and hole concentration plots in the following figure panels: figure 4c, figure 4d, figure 5c, figure 5d, figure 6c, figure 6d, figure 8c and figure 8d. The error does not affect the description, analysis or conclusions. The correct representation of the figure panels are shown here.
      PubDate: 2020-02-01T00:00:00.000Z
      DOI: 10.1017/S0956792519000135
      Issue No: Vol. 31, No. 1 (2020)
       
 
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