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

Advances in Difference Equations

Figen Kangalgil¹  Senol Kartal² 

[1] Department of Mathematics, Faculty of Science, Cumhuriyet University;Department of Science and Mathematics Education, Faculty of Education, Nevsehir Haci Bektas Veli University;

关键词: Equilibrium point;    Host–parasitoid model;    Local stability;    Population model;   

DOI  :  10.1186/s13662-018-1692-x

来源: DOAJ

【 摘 要 】

Abstract 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.

【 授权许可】

Unknown