The dynamics of a Leslie type predator–prey model with fear and Allee effect

In this article, we discuss the dynamics of a Leslie–Gower ratio-dependent predator–prey model incorporating fear in the prey population. Moreover, the Allee effect in the predator growth is added into account from both biological and mathematical points of view. We explore the influence of the Alle...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2021; no. 1; pp. 1 - 22
Main Authors:	Vinoth, S., Sivasamy, R., Sathiyanathan, K., Unyong, Bundit, Rajchakit, Grienggrai, Vadivel, R., Gunasekaran, Nallappan
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 16.07.2021 Springer Nature B.V SpringerOpen
Subjects:	Allee effect Analysis Behavior Bifurcation theory Difference and Functional Equations Dynamic stability Equilibrium Existence theorems Fear Fear effect Functional Analysis Hopf bifurcation Jacobi matrix method Jacobian matrix Leslie–Gower predator–prey model Local stability Mathematical models Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Population Predation Predator-prey simulation Predators Ratio-dependent functional response Leslie–Gower predator–prey model Ratio-dependent functional response Hopf bifurcation Fear effect Allee effect Local stability
ISSN:	1687-1847, 1687-1839, 1687-1847
Online Access:	Get full text
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