Existence of positive solutions for a prey-predator model with refuge and diffusion
From MaRDI portal
Publication:545970
DOI10.1016/j.amc.2011.02.111zbMath1215.92064OpenAlexW2062844191WikidataQ115598554 ScholiaQ115598554MaRDI QIDQ545970
Hong-Kun Xu, Ravi P. Agarwal, Yunfeng Jia
Publication date: 24 June 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.111
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)
Related Items (7)
Multiple positive steady states of a diffusive predator‐prey model in spatially heterogeneous environments ⋮ Stability and bifurcation of a diffusive predator-prey model in a spatially heterogeneous environment ⋮ On non-selective harvesting of a multispecies fishery incorporating partial closure for the populations ⋮ Stability and Hopf bifurcation in a reaction-diffusion predator-prey system with interval biological parameters and stage structure ⋮ Prey–predator model for optimal harvesting with functional response incorporating prey refuge ⋮ Effect of prey refuge on the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Holling type III schemes ⋮ Stability and bifurcation in a stage-structured predator–prey system with Holling-II functional response and multiple delays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- The effects of refuges on predator-prey interactions: A reconsideration
- Positive solutions to general elliptic competition models
- On global stability of a predator-prey system
- Analysis of a model predator-prey system with refuges
- On the indices of fixed points of mappings in cones and applications
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- Bifurcation of steady-state solutions in predator-prey and competition systems
- Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
- On the dirichlet problem for elliptic systems
- Nontrivial solutions of predator–prey systems with small diffusion
- Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- On a predator-prey system of Holling type
- Qualitative properties of two-dimensional predator-prey systems
- Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
- Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response
This page was built for publication: Existence of positive solutions for a prey-predator model with refuge and diffusion
