Bifurcation analysis of a diffusive predator-prey model with Beddington-DeAngelis functional response

DOI10.11948/20200119MaRDI QIDQ6596635

Ruizhi Yang, Qiannan Song, Chun-Rui Zhang, Lei Wang

Publication date: 2 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

predator-preyHopf bifurcationTuring instabilityTuring-Hopf bifurcation

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Bifurcation analysis and control of a discrete harvested prey-predator system with Beddington-DeAngelis functional response
• Seasonally perturbed prey-predator system with predator-dependent functional response
• Modeling the dynamics of stage-structure predator-prey system with Monod-Haldane type response function
• Interference and generation cycles
• Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
• Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators
• Predator interference in a Leslie-Gower intraguild predation model
• Turing instability and Turing-Hopf bifurcation in diffusive Schnakenberg systems with gene expression time delay
• Stability and Turing instability in a diffusive predator-prey system with beddington-deangelis functional response
• Bifurcation Analysis of a Predator–Prey System with Ratio-Dependent Functional Response
• Turing Instability and Bifurcation in a Diffusion Predator–Prey Model with Beddington–DeAngelis Functional Response
• A Holling–Tanner Predator–Prey Model with Strong Allee Effect
• Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response
• EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY
• HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND PREY HARVESTING
• TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL

Related Items (2)

Bifurcations and hydra effects in a reaction-diffusion predator-prey model with Holling II functional response ⋮ The non-existence and existence of non-constant positive solutions for a diffusive autocatalysis model with saturation

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