Qualitative analysis of a predator-prey model with predator saturation and competition

DOI10.1007/S10440-015-0009-2zbMath1381.92083OpenAlexW2027857246WikidataQ115605532 ScholiaQ115605532MaRDI QIDQ267769

Shanbing Li, Jian-hua Wu

Publication date: 11 April 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-015-0009-2

zbMATH Keywords

stabilityexistenceuniquenesspredator-preypersistence

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51) Boundary value problems for second-order elliptic systems (35J57)

Related Items (9)

Effects of a degeneracy in a diffusive predator-prey model with Holling II functional response ⋮ Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system ⋮ Uniqueness and stability of positive solutions for a diffusive predator-prey model in heterogeneous environment ⋮ Stationary patterns of a prey-predator system with a protection zone and cross-diffusion of fractional type ⋮ Complex dynamics on the routes to chaos in a discrete predator-prey system with Crowley-Martin type functional response ⋮ A Diffusive One-Prey and Two-Cooperative-Predators Model with C–M Functional Response ⋮ Effects of degeneracy and response function in a diffusion predator–prey model ⋮ Positive solutions to the unstirred chemostat model with Crowley-Martin functional response ⋮ Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme

Cites Work

• The effect of predator competition on positive solutions for a predator-prey model with diffusion
• Positive solutions of a prey-predator model with predator saturation and competition
• Geometric theory of semilinear parabolic equations
• On the indices of fixed points of mappings in cones and applications
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response
• Bifurcation from simple eigenvalues
• Positive solutions for ratio-dependent predator-prey interaction systems
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Some uniqueness and exact multiplicity results for a predator-prey model
• Quasisolutions and global attractor of reaction-diffusion systems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Qualitative analysis of a predator-prey model with predator saturation and competition