A discrete-time model with non-monotonic functional response and strong Allee effect in prey

Article Type

Research Article

Publication Title

Journal of Difference Equations and Applications

Abstract

In this paper, we investigate the impact of strong Allee effect on the stability of a discrete-time predator–prey model with a non-monotonic functional response. The dynamics of discrete-time predator–prey models with strong Allee effect is studied earlier. But, the mathematical investigations of predator–prey dynamics in discrete-time set up with Holling type-IV functional response and strong Allee effect in prey are lacking. The proposed model supports the coexistence of two steady states, and the mathematical features of the model are analyzed based on local stability and bifurcation theory. By considering the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the flip and the Neimark–Sacker bifurcations. We observe that Allee parameter plays a significant role in the dynamics of the system.

First Page

404

Last Page

431

DOI

10.1080/10236198.2020.1739276

Publication Date

3-3-2020

Comments

Open Access, Green

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