Allee effect in a Ricker type predator-prey model
M. Y. Hamada, T. El-Azab, H. El-Metwally
Abstract
The stability of the predator-prey model subject to the Allee effect is an interesting topic in recent times. The impact of a weak Allee effect on the stability of a discrete-time predator-prey model is investigated in this paper. Equilibrium analysis, stability analysis, and bifurcation theory are used to examine the mathematical properties of the proposed model. By using the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the flip bifurcation. Numerical simulations are used to demonstrate our analytical conclusions.
Topics & Concepts
Allee effectPredatorPredationType (biology)Functional responseEcologyBiologyMathematicsDemographyPopulationSociologyMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsNonlinear Dynamics and Pattern Formation