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Stress-induced Antibiotic Susceptibility Testing on a Chip
Published on: January 8, 2014
Dynamics analysis of a stochastic SIRS epidemic model with nonlinear incidence rate and transfer from infectious to
Yan Mei Wang1,2, Gui Rong Liu1
1School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, China.
Abstract:
In this paper, we investigate the dynamics of a stochastic SIRS epidemic model with non-linear incidence rate and transfer from infectious to susceptible. Firstly, the existence and uniqueness of global positive solution of the model with any positive initial value are proved. Next, sufficient conditions for extinction and persistence of the disease are established. It is found that a large noise intensity has the effect of suppressing the epidemic. At last, some numerical simulations are introduced to demonstrate the theoretical results. Our results generalize and improve the existing results.
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