Multiplicity and stability of a predator-prey model with non-monotonic conversion rate

DOI10.1016/j.nonrwa.2007.08.020zbMath1154.35386OpenAlexW2040860107MaRDI QIDQ1003262

Hua Nie, Jian-hua Wu

Publication date: 27 February 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.08.020

zbMATH Keywords

stabilitymultiplicityperturbation techniqueLyapunov-Schmidt procedure

Mathematics Subject Classification ID

Related Items (11)

Dynamic behavior analysis of a prey-predator model with ratio-dependent Monod-Haldane functional response ⋮ Stability and coexistence of a diffusive predator-prey system with nonmonotonic functional response and fear effect ⋮ Coexistence states for a modified Leslie-gower type predator-prey model with diffusion ⋮ Qualitative analysis of exponential power rate fishery model and complex dynamics guided by a discontinuous weighted fishing strategy ⋮ Uniqueness and multiplicity of a prey-predator model with predator saturation and competition ⋮ Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response ⋮ Uniqueness and stability of a predator-prey model with C-M functional response ⋮ A spatially heterogeneous predator-prey model ⋮ Some uniqueness and multiplicity results for a predator-prey dynamics with a nonlinear growth rate ⋮ Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme ⋮ Dynamics of a predator-prey model with nonlinear growth rate and B-D functional response

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
• Existence and uniqueness of coexistence states for a predator-prey model with diffusion
• Stability of steady-state solutions to a prey--predator system with cross-diffusion.
• Multiple coexistence states for a prey-predator system with cross-diffusion.
• Coexistence states for cooperative model with diffusion.
• The effect of diffusion for the multispecies Lotka--Volterra competition model
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Positive steady states of a prey-predator model with diffusion and non-monotone conversion rate
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
• Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
• Some uniqueness and exact multiplicity results for a predator-prey model
• Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
• Necessary and sufficient condition for the existence of positive solutions of certain cooperative system

This page was built for publication: Multiplicity and stability of a predator-prey model with non-monotonic conversion rate