Albert Science International Organization

ARTICLE DESCRIPTION: 

Dr. Sumit Kumar Banerjee, Analysis of SIR Epidemic Model by Using Stochastic Process, ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 2016, 1(1): 09-11.

ARTICLE TYPE: Research

dids/doi No.: 02.2016-14482937

dids link:  http://dids.info/didslink/02.2016-55799898/

ABSTRACT:       

A mathematical SIR epidemic model with invariant population size has been studied. Due to incorporation of stochastic process into the mathematical model the term probability has been used instead of rate, which is used in deterministic model. Discrete stochastic process especially Markov chain has been used to analyze the SIR epidemic model and finally validity of the model has been checked by using numerical simulation.       

Key words:  Epidemic model, probability, stochastic process, Markov chain, simulation.

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