Global stability and Hopf bifurcation of a diffusive predator–prey model with hyperbolic mortality and prey harvesting

DOI10.15388/NA.2017.5.5zbMath1416.92142MaRDI QIDQ4968158

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Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationcenter manifold theoremiterative techniquepredator-prey modelglobal asymptotical stability

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

Related Items (2)

Bifurcation analysis of a diffusive predator–prey model with hyperbolic mortality and prey-taxis ⋮ Dynamics of prey–predator model with strong and weak Allee effect in the prey with gestation delay

Cites Work

• Unnamed Item
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• Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
• Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response
• Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
• Dynamics of a diffusive predator-prey model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• A model predator-prey system with functional response

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