| Volume 9, Number 4, 2019, Pages 1606-1615 DOI：10.11948/2156-907X.20190121 |
| Global stability of periodic solutions of predator-prey system with Holling type III functional response |
| Xiang Zhu,Wei Ding |
| Keywords:Periodic solution, Mawhin''s Continuous Theorem, global stability, Lyapunov function. |
| Abstract: |
| This paper studied some properties of a predator-prey system with Holling type III functional response. Based on Mawhin''s Continuation Theorem, some sufficient conditions for the existence of periodic solutions are obtained. Moreover, the global stability of the periodic solution is built with the help of a suitable Lyapunov function. |
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