Stability analysis and Hopf bifurcation of a delayed prey–predator model with Hattaf–Yousfi functional response and Allee effect

Author:

Bouziane S., ,Lotfi E. M.,Hattaf K.,Yousfi N., , ,

Abstract

The Allee effect is an important phenomena in the context of ecology characterized by a correlation between population density and the mean individual fitness of a population. In this work, we examine the influences of Allee effect on the dynamics of a delayed prey–predator model with Hattaf–Yousfi functional response. We first prove that the proposed model with Allee effect is mathematically and ecologically well-posed. Moreover, we study the stability of equilibriums and discuss the local existence of Hopf bifurcation.

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

Reference14 articles.

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3. Bouziane S., Lotfi E., Hattaf K., Yousfi N. Dynamics of a delayed prey-predator model with Hattaf-Yousfi functional response. Communications in Mathematical Biology and Neuroscience. 2022, 104 (2022).

4. Dynamics of a predator-prey model with harvesting and reserve area for prey in the presence of competition and toxicity;Louartassi;Journal of Applied Mathematics and Computing,2019

5. Allee W. C. Animal aggregations: A study in general sociology. Chicago, The University of Chicago Press (1931).

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