Hopf-Bifurcation and Pattern Selections in a Three Trophic Level Food Web System

DOI10.1142/S0218127422500894zbMath1493.92092OpenAlexW4281749687MaRDI QIDQ5083109

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Publication date: 21 June 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500894

zbMATH Keywords

amplitude equationTuring instabilityTuring patternfood webprey-predator system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40) Bifurcations in context of PDEs (35B32)

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Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach

Cites Work

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• Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type
• On necessary conditions for the Fredholm solvability of nonlocal elliptic problems
• Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
• The dynamic complexity of a three species food chain model
• Hopf bifurcation, Hopf-hopf bifurcation, and period-doubling bifurcation in a four-species food web
• Modeling the dynamics of stage-structure predator-prey system with Monod-Haldane type response function
• Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion
• Pattern dynamics in a diffusive predator-prey model with hunting cooperations
• A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns
• Dynamical behavior of a three species food chain model with Beddington-DeAngelis functional response
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion
• Spatial dynamics in a predator-prey model with herd behavior
• Complex behaviour in four species food-web model
• The chemical basis of morphogenesis
• Spatiotemporal Model of a Predator–Prey System with Herd Behavior and Quadratic Mortality
• On a Food Web Consisting of a Specialist and a Generalist Predator
• SPATIAL ASPECT OF HUNTING COOPERATION IN PREDATORS WITH HOLLING TYPE II FUNCTIONAL RESPONSE
• Instability and Pattern Formation in Three-Species Food Chain Model via Holling Type II Functional Response on a Circular Domain
• Mathematical analysis of a food-web model