Threshold dynamics of a nonlinear multi‐group epidemic model with two infinite distributed delays |
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| Authors: | Xiaomei Feng Kai Wang Fengqin Zhang Zhidong Teng |
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| Institution: | 1. Department of Mathematics, Yuncheng University, Yuncheng, China;2. Department of Medical Engineering and Technology, Xinjiang Medical University, Urumqi, China;3. College of Mathematics and System Sciences, Xinjiang University, Urumqi, China |
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| Abstract: | The global stability of equilibria is investigated for a nonlinear multi‐group epidemic model with latency and relapses described by two distributed delays. The results show that the global dynamics are completely determined by the basic reproduction number  under certain reasonable conditions on the nonlinear incidence rate. Moreover, compared with the results in Michael Y. Li and Zhisheng Shuai, Journal Differential Equations 248 (2010) 1–20, it is found that the two distributed delays have no impact on the global behaviour of the model. Our study improves and extends some known results in recent literature. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | relapse distributed delay global stability Lyapunov functional |
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under certain reasonable conditions on the nonlinear incidence rate. Moreover, compared with the results in Michael Y. Li and Zhisheng Shuai, Journal Differential Equations 248 (2010) 1–20, it is found that the two distributed delays have no impact on the global behaviour of the model. Our study improves and extends some known results in recent literature. Copyright © 2016 John Wiley & Sons, Ltd.