Stability and bifurcation analysis of a discrete-time host-parasitoid model with Holling III functional response

• Published in: AIMS mathematics Vol. 8; no. 10; pp. 22675 - 22692
• Main Authors: Liu, Xijuan, Liu, Yun
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: boundedness; host-parasitoid model; mode-locking structures; neimark-sacker bifurcation

We study the dynamical properties of a discrete-time host-parasitoid model with Holling type III functional response. It is shown that flip bifurcation and Neimark-Sacker bifurcation occur in certain parameter regimes. A sufficient condition based on the model parameters for which both populations c...