Bifurcations and hydra effects in a reaction-diffusion predator-prey model with Holling II functional response

DOI10.11948/20220221MaRDI QIDQ6611917

Chun-Rui Zhang, Hongyu Chen

Publication date: 27 September 2024

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

zbMATH Keywords

normal formpredator-prey systemTuring instabilityTuring-Hopf bifurcationhydra effect

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Hydra effects in discrete-time models of stable communities
• The hydra effect in predator-prey models
• Turing-Hopf bifurcation and spatiotemporal patterns in a diffusive predator-prey system with Crowley-Martin functional response
• Hopf bifurcation in an age-structured prey-predator model with Holling III response function
• Bifurcations and hydra effects in Bazykin's predator-prey model
• Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
• Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations
• The impact of mortality on predator population size and stability in systems with stage-structured prey
• Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator
• Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory
• Turing patterns induced by self-diffusion in a predator-prey model with schooling behavior in predator and prey
• Extinction and stationary distribution of a stochastic predator-prey model with Holling II functional response and stage structure of prey
• Bifurcation analysis of a diffusive predator-prey model with Beddington-DeAngelis functional response

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