Stability and bifurcation analysis in a host-parasitoid model with Hassell growth function


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KANGALGİL F. , KARTAL Ş.

ADVANCES IN DIFFERENCE EQUATIONS, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

In this paper, a discrete-time host-parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed. By using the bifurcation theory it is shown that the system undergoes a Neimark-Sacker bifurcation. In addition, bifurcation diagrams and phase portraits of the model are given.