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Global Dynamics of a Predator-prey Mo del |
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| Authors: | Huang Rui Pan Qiang-you Bao Lian-zhang Wang Chun-peng |
| Affiliation: | 1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631 2. School of Mathematics, Jilin University, Changchun, 130012 |
| Abstract: | In this paper, we consider a predator-prey model. A sufficient condition is presented for the stability of the equilibrium, which is different from the one for the model with Hassell-Varley type functional response. Furthermore, by constructing a Lyapunov function, we prove that the positive equilibrium is asymptotically stable. |
| Keywords: | Allee effect asymptotically stable predator-prey model |
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