Stability and Hopf bifurcation of a diffusive predator–prey model with predator saturation and competition

DOI10.1080/00036811.2012.742185zbMath1284.35229OpenAlexW1965345518WikidataQ58177648 ScholiaQ58177648MaRDI QIDQ5404674

M. Sambath, Soundararajan Gnanavel, Krishnan Balachandran

Publication date: 28 March 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.742185

zbMATH Keywords

stability analysisHopf bifurcationpredator-prey modelTuring instability

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations and instability for nonlinear problems in mechanics (70K50) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

DYNAMICS OF A MODIFIED HOLLING-TANNER PREDATOR-PREY MODEL WITH DIFFUSION ⋮ Bifurcation analysis of a diffusive predator-prey model with ratio-dependent Holling type III functional response ⋮ Hopf bifurcation and Turing instability in a predator-prey model with Michaelis-Menten functional response ⋮ Asymptotic behavior and multiplicity for a diffusive Leslie-Gower predator-prey system with Crowley-Martin functional response ⋮ Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response ⋮ Bifurcation and spatiotemporal patterns of a density-dependent predator–prey model with Crowley–Martin functional response ⋮ Traveling wave solutions for a diffusive predator–prey model with predator saturation and competition ⋮ Spatiotemporal Patterns in a Predator–Prey Model with Cross-Diffusion Effect ⋮ Unnamed Item ⋮ Stability and Hopf bifurcation analysis of a diffusive predator–prey model with Smith growth ⋮ Hopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response ⋮ Stability and Hopf bifurcation of a delayed reaction–diffusion predator–prey model with anti-predator behaviour ⋮ Bifurcations in a diffusive predator–prey model with predator saturation and competition response ⋮ Bifurcation and optimal harvesting of a diffusive predator-prey system with delays and interval biological parameters

Cites Work

• Modeling the role of diffusion coefficients on Turing instability in a reaction-diffusion prey-predator system
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• Two-spotted spider mite predator-prey model
• Positive solutions of a prey-predator model with predator saturation and competition
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Stability switch and Hopf bifurcation for a diffusive prey-predator system with delay
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Hopf bifurcation analysis of a reaction-diffusion Sel'kov system
• Global stability in two species interactions
• Stability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffu\-sion
• Bifurcation analysis of a delayed predator–prey system with strong Allee effect and diffusion
• The chemical basis of morphogenesis
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion

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