Dynamical Complexity and Numerical Bifurcation Analysis of a ReactionDiffusion Predator-Prey System

DOI10.5890/JAND.2020.06.012zbMath1500.37049OpenAlexW3035057066WikidataQ113195258 ScholiaQ113195258MaRDI QIDQ5082356

Z. Lajmiri, Iman Orak, R. Khoshsiar, P. Azizi

Publication date: 16 June 2022

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2020.06.012

zbMATH Keywords

bifurcationspredator-prey systemHolling-Tanner functional response

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Cites Work

• Modeling the role of diffusion coefficients on Turing instability in a reaction-diffusion prey-predator system
• A modified numerical method for bifurcations of fixed points of ODE systems with periodically pulsed inputs
• Pattern formation and spatiotemporal chaos in a reaction-diffusion predator-prey system
• Dynamics of a ratio-dependent predator-prey system with a strong Allee effect
• Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
• Phase portraits, Hopf bifurcations and limit cycles of the Holling-Tanner models for predator-prey interactions
• Bifurcations of a class of singular biological economic models
• Predator-prey interaction with harvesting: mathematical study with biological ramifications
• Phase portraits of predator--prey systems with harvesting rates
• Numerical bifurcation for the capillary Whitham equation
• Dynamics of a delayed discrete semi-ratio-dependent predator-prey system with Holling type IV functional response
• \(O(2)\) Hopf bifurcation of viscous shock waves in a channel
• GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE–GOWER PREDATOR–PREY SYSTEM
• SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
• Global Stability for a Class of Predator-Prey Systems
• Hopf bifurcation for a predator-prey model with age structure
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