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

KANGALGİL, FİGEN; KARTAL, ŞENOL

doi:10.1186/s13662-018-1692-x

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

Atıf İçin Kopyala

KANGALGİL F., KARTAL Ş.

ADVANCES IN DIFFERENCE EQUATIONS, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2018
Doi Numarası: 10.1186/s13662-018-1692-x
Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sivas Cumhuriyet Üniversitesi Adresli: Evet

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.