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| GLOBAL ATTRACTIVITY IN AN ALMOST PERIODIC PREDATOR-PREY-MUTUALIST SYSTEM |
| Liya Yang,Fengde Chen,Chengqiang Wu,Xiangdong Xie |
| (College of Math. and Computer Science, Fuzhou University, Fujian 350116, PR China;Dept. of Math., Ningde Normal University, Fujian 352300, PR China) |
| DOI： |
| 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. |
| Key words: almost periodic solution; predator-prey-mutualist system; functional response; Lyapunov function; global attractivity |