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

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Kangalgil F., Kartal S.

ADVANCES IN DIFFERENCE EQUATIONS, 2018 (SCI-Expanded) identifier

  • 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
  • Anahtar Kelimeler: Equilibrium point, Host-parasitoid model, Local stability, Population model, DYNAMIC COMPLEXITY
  • Dokuz Eylül Üniversitesi Adresli: Hayır

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.