Almost periodicity of a modified Leslie-Gower predator-prey system with Crowley-Martin functional response

Abstract

In this paper, we discuss a modified Leslie-Gower Lotka-Volterra system with Crowley-Martin type functional response. Crowley-Martin functional response is similar to the Beddington-DeAngelis functional response but contains an extra term describing mutual interference by predators at high prey density. The rates are assumed to be almost periodic, which generalizes the concept of periodicity. We discuss the permanence, existence, uniqueness, and asymptotic stability of an almost periodic solution of the model under consideration by applying comparison theorem of differential equations and constructing a suitable Lyapunov functional. The analytical results obtained in this paper are illustrated with the help of a numerical example.