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VFAST Transactions on Mathematics
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  This is an Open Access Journal Open Access journal
     ISSN (Print) 2309-0022 - ISSN (Online) 2309-0022
     Published by Virtual Foundation for Advancement of Science and Technology Homepage  [2 journals]
  • Analysis Of Sir Epidemic Models

    • Authors: MUHAMMAD HANIF DURAD, MUHAMMAD NAVEED AKHTAR
      Abstract: Modeling epidemics has played a vital role in predicting the impact of a disease in a population and the ability to overcome it. The objective of this paper is to introduce the concept of agent based modeling classification for SIR epidemic model, suggest a new discrete-time agent based SIR model and formally document Gillespie’s Algorithm based SIR epidemic model. Furthermore a computational analysis of chemical master equation and Gillespie’s algorithm based SIR models has been performed showing that the use of latter results in considerable reduction in execution time. 
      PubDate: 2014-01-15
      Issue No: Vol. 3 (2014)
       
  • GENERAL LORENTZ TRANSFORMATIONS AND APPLICATIONS

    • Authors: Naila Amir, Muneer Ahmad Rashid
      Abstract: In this paper, we solve a formidable nonlinear problem presented by a veteran Physicist C.B.van Wyk in his paper on General Lorentz Transformations and applications [1].We arrived at the solution by first examining the problem in a non-invariant manner.This assured us that the solution of the problem exists.To solve the problem in an invariant fashion, we had to understand the geometry of the situation.This finally gave us a reformulation of the formidable nonlinear prob- lem as a simple linear one. We have verified that the solution of the reformulated problem does solve the original problem.In fact,the original problem can be recov- ered from the reformulated one.
      PubDate: 2014-01-15
      Issue No: Vol. 3 (2014)
       
 
 
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