DYNAMICS OF A MODIFIED HOLLING-TANNER PREDATOR-PREY MODEL WITH DIFFUSION

DOI10.12941/jksiam.2019.23.139zbMath1429.35133OpenAlexW3144812133MaRDI QIDQ5213119

M. Sambath, Il Hyo Jung, Krishnan Balachandran

Publication date: 31 January 2020

Full work available at URL: http://koreascience.or.kr:80/article/JAKO201926151347298.pdf

zbMATH Keywords

Hopf bifurcationpredator-prey modelTuring instabilityHolling-Tanner

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) General biology and biomathematics (92B05)

Related Items

Spatio-temporal dynamic solitary wave solutions and diffusion effects to the nonlinear diffusive predator-prey system and the diffusion-reaction equations

Cites Work

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• Global stability in a diffusive Holling-Tanner predator-prey model
• Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response
• Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
• Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
• Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
• Mathematical biology. Vol. 1: An introduction.
• Dynamics of a nonautonomous predator--prey system with the Beddington-DeAngelis functional response
• Stationary patterns of the Holling-Tanner prey-predator model with diffusion and cross-diffu\-sion
• Analysis of Stochastic Diffusive Predator PreyModel with Hyperbolic Mortality Rate
• Influence of Diffusion on Bio-chemical Reaction of the Morphogenesis Process
• Dynamics of a Predator-Prey Model
• The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
• Hopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response
• Global Stability for a Class of Predator-Prey Systems
• Bifurcations in a diffusive predator–prey model with predator saturation and competition response
• PATTERN FORMATION FOR A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH CROSS DIFFUSION
• Stability and Hopf bifurcation of a diffusive predator–prey model with predator saturation and competition