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

Autor: Figen Kangalgil, Senol Kartal
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-15 (2018)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-018-1692-x
Popis: 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.
Databáze: Directory of Open Access Journals
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