Steady-state bifurcation and Hopf bifurcation for a diffusive Leslie-Gower predator-prey model
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Publication:2006584
DOI10.1016/j.camwa.2015.10.017zbMath1443.92157OpenAlexW2238841679WikidataQ115580834 ScholiaQ115580834MaRDI QIDQ2006584
Shanbing Li, Hua Nie, Jian-hua Wu
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.10.017
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Cites Work
- Hopf bifurcation and steady-state bifurcation for an autocatalysis reaction-diffusion model
- Non-constant positive steady-states of a diffusive predator--prey system in homogeneous environment
- Loops and branches of coexistence states in a Lotka--Volterra competition model
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
- Hopf bifurcation analysis in the 1-D Lengyel-Epstein reaction-diffusion model
- Qualitative analysis for a diffusive predator-prey model
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Point-condensation for a reaction-diffusion system
- Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- Diffusion, self-diffusion and cross-diffusion
- A diffusive predator-prey model in heterogeneous environment
- Turing structures and stability for the 1-D Lengyel-Epstein system
- Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
- Global asymptotical stability and persistent property for a diffusive predator-prey system with modified Leslie-Gower functional response
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- The properties of a stochastic model for the predator-prey type of interaction between two species
- Asymptotic behaviour of positive steady states to a predator—prey model
- Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
- Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
- Spatial Ecology via Reaction‐Diffusion Equations
- Global Stability for a Class of Predator-Prey Systems
