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GLOBAL ATTRACTIVITY IN AN ALMOST PERIODIC PREDATOR-PREY-MUTUALIST SYSTEM |
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| Authors: | Liya Yang Fengde Chen Chengqiang Wu and Xiangdong Xie |
| Institution: | College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China,College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China,College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China and Dept. of Math., Ningde Normal University, Fujian 352300, PR China |
| Abstract: | In this paper, the almost periodic predator-prey-mutualist model with Holling type II functional response is discussed. A set of sufficient conditions which guarantee the uniform persistence and the global attractivity of the system are obtained. For the almost periodic case, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the existence of a unique globally attractive positive almost periodic solution of the system are obtained. An example together with its numerical simulations shows the feasibility of the main results. |
| Keywords: | almost periodic solution predator-prey-mutualist system functional response Lyapunov function global attractivity |
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