Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type

DOI10.3934/eect.2015.4.115zbMath1334.35113OpenAlexW2555890853MaRDI QIDQ258770

Habib Bouhafa, Azgal Abichou, Walid Abid, Radouane Yafia, Moulay Aziz-Alaoui

Publication date: 10 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.115

zbMATH Keywords

chaospattern formationBeddington-DeAngelis functional responselocal and global stabilitydisc domain

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Pattern formations in context of PDEs (35B36)

Related Items (9)

Modeling and Dynamics of Predator Prey Systems on a Circular Domain ⋮ Qualitative Analysis of a Modified Leslie-Gower Model with Gestation Delay ⋮ Dynamics in diffusive Leslie–Gower prey–predator model with weak diffusion ⋮ Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion ⋮ Hopf-Bifurcation and Pattern Selections in a Three Trophic Level Food Web System ⋮ Travelling waves in diffusive Leslie-Gower prey-predator model ⋮ Optimality for a diffusive predator-prey system in a spatially heterogeneous environment incorporating a prey refuge ⋮ Global analysis and Hopf-bifurcation in a cross-diffusion prey-predator system with fear effect and predator cannibalism ⋮ Bifurcations in Twinkling Patterns for the Lengyel–Epstein Reaction–Diffusion Model

Cites Work

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