Globalexponential stability of an epidemic model with saturated and periodic incidence rate |
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| Authors: | Yanli Xu Lingwei Li |
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| Institution: | 1. School of mathematics Finance, Xiangnan University, Hunan, Chenzhou, China;2. School of of clinical medicine, Xiangnan University, Hunan, Chenzhou, China |
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| Abstract: | This paper is concerned with a SIR model with saturated and periodic incidence rate and saturated treatment function. By using differential inequality technique, we employ a novel argument to show that the disease‐free equilibrium is globally exponentially stable. The obtained results improve and supplement existing ones. We also use numerical simulations to demonstrate our theoretical results. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | SIR model global exponential stability periodic incidence rate disease‐free equilibrium |
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