The use of generation stochastic models to study an epidemic disease

被引：0
作者：
S Seddighi Chaharborj
I Fudziah
MR Abu Bakar
R Seddighi Chaharborj
ZA Majid
AGB Ahmad
机构：
[1] Universiti Putra Malaysia,Department of Mathematics, Faculty of Science
[2] Nuclear Science and Technology Research Institute (NSTRI),Plasma Physics and Nuclear Fusion Research School
[3] Islamic,Department of Mathematics, Science and Research Branch
[4] Azad University,Department of Applied Mathematics and Computer Science
[5] Eastern Mediterranean University,Institute of Mathematical Research
[6] Universiti Putra Malaysia,School of Mathematical, Faculty of Science and Technology
[7] Universiti Kebangsaan Malaysia,undefined
来源：
Advances in Difference Equations | / 2013卷
关键词：
epidemic diseases; susceptible-infective-susceptible; deterministic model; stochastic model; probability function;
D O I：
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摘要：
Stochastic models have an important role in modeling and analyzing epidemic diseases for small size population. In this article, we study the generation of stochastic models for epidemic disease susceptible-infective-susceptible model. Here, we use the separation variable method to solve partial differential equation and the new developed modified probability generating function (PGF) of a random process to include a random catastrophe to solve the ordinary differential equations generated from partial differential equation. The results show that the probability function is too sensitive to μ, β and γ parameters.
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