Dynamic Analysis of an Almost Periodic Predator-Prey Model with Water Level Fluctuations

Water level may influence local community dynamics. In this paper, an almost predator-prey model is investigated to study the influence of water level variations on the interaction between two species. By using several comparison theorems and some analytical technicals, we derive some sufficient conditions for permanence of the system. Moreover, by using the properties of almost periodic functions and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence of uniformly asymptotically stable almost periodic solution of the system are obtained. Finally, numerical simulations are carried out to illustrate the feasibility of the main results. The theoretical results confirm the assumption that the water exerts a strong influence on the interaction between the species.