Stability and backward bifurcation on a cholera epidemic model with saturated recovery rate |
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| Authors: | Xueyong Zhou Xiangyun Shi Jingan Cui |
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| Affiliation: | 1. College of Mathematics and Information Science, Xinyang Normal University, Xinyang, Henan, PR China;2. School of Science, Beijing University of Civil Engineering and Architecture, Beijing, PR China |
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| Abstract: | In this paper, a cholera epidemic model with saturated recovery rate is studied. Backward bifurcation leading to bistability possibly occurs, and global dynamics are shown by compound matrices and geometric approaches. Numerical simulations are presented to illustrate the results. Our results suggest that the basic reproduction number itself is not enough to describe whether cholera will prevail or not when the resources for treatment of infectives are limited and suggest that we should pay more attention to the initial state of cholera. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | cholera global stability backward bifurcation saturated recovery rate |
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