Dynamics of a host-parasite model connected with immigration

Abstract

The growth of the populations depending on interspecific interactions may exhibit drastic changes. The stability of populations change not only interspecific interactions but also under external effects such as immigration effect. Thus, population
models can show complex dynamics. Immigration effect often simplify the population dynamics; and tends to supress chaotic behavior. This situation which can allow the local stability analysis of population is important for control of a two species interacting system. In this paper, we investigated dynamics of a host-parasite model with the immigration parameter added to the host population under the constant searching efficiency. We conclude that immigration parameter produces certain interesting results.

Keywords

• Host-parasite model,stability analysis,equilibrium point,discrete dynamical systems,Misra-Mitra model

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