The coexistence states of a predator-prey model with nonmonotonic functional response and diffusion
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Publication:1037631
DOI10.1007/s10440-008-9319-yzbMath1180.35087OpenAlexW2080865389WikidataQ115605551 ScholiaQ115605551MaRDI QIDQ1037631
Hua Nie, Yunfeng Jia, Jian-hua Wu
Publication date: 16 November 2009
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9319-y
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Boundary value problems for second-order elliptic systems (35J57)
Related Items (7)
Analysis on bifurcation for a predator-prey model with Beddington-DeAngelis functional response and non-selective harvesting ⋮ 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 ⋮ Existence and asymptotic behavior of positive solutions for a one-prey and two-competing-predators system with diffusion ⋮ Coexistence and optimal control problems for a degenerate predator-prey model ⋮ Stationary patterns of a prey-predator system with a protection zone and cross-diffusion of fractional type ⋮ Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme
Cites Work
- Unnamed Item
- Unnamed Item
- Positive solutions to general elliptic competition models
- On global stability of a predator-prey system
- Coexistence states for cooperative model with diffusion.
- 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
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- 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
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