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.
1. Lotka A. J. Elements of physical biology. Williams and Wilkins (1925).
2. Fluctuations in the abundance of a species considered mathematically;Volterra;Nature,1926
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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