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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Vydané v:	Advances in difference equations Ročník 2021; číslo 1; s. 1 - 22
Hlavní autori:	Vinoth, S., Sivasamy, R., Sathiyanathan, K., Unyong, Bundit, Rajchakit, Grienggrai, Vadivel, R., Gunasekaran, Nallappan
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 16.07.2021 Springer Nature B.V SpringerOpen
Predmet:	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
On-line prístup:	Získať plný text
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