Global attractivity in an almost periodic multi-species nonlinear ecological model

A nonlinear almost periodic predator-prey model with n-preys and m-predators is studied in this paper, which can be seen as the modification of the traditional multi-species Lotka-Volterra predator-prey model. For general nonautonomous case, by using the differential inequality theory, we obtain the sufficient conditions which guarantee the uniform persistence and nonpersistence of the system; After that, by constructing a suitable Lyapunov function, some sufficient conditions are obtained which ensure the global attractivity of the system. For almost periodic case, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the existence of an unique globally attractive positive almost periodic solution of the system are obtained. Examples together with their numeric simulations show the feasibility of our main results.