Existence of positive solution for a cross-diffusion predator-prey system with Holling type-II functional response
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Publication:1674332
DOI10.1016/J.CHAOS.2017.04.001zbMath1373.92104OpenAlexW2607113681WikidataQ115579773 ScholiaQ115579773MaRDI QIDQ1674332
Publication date: 2 November 2017
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2017.04.001
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)
Related Items (2)
Bifurcation analysis in a diffusive predator-prey system with Michaelis-Menten-type predator harvesting ⋮ Bifurcation and Turing instability for a predator-prey model with nonlinear reaction cross-diffusion
Cites Work
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- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Positive solutions of a prey-predator model with predator saturation and competition
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- A reaction-diffusion system modeling predator-prey with prey-taxis
- A qualitative study on general Gause-type predator-prey models with non-monotonic functional response
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- Positive periodic solutions of Lotka-Volterra reaction-diffusion systems
- Non-constant positive steady states of the Sel'kov model.
- Diffusion, self-diffusion and cross-diffusion
- On the indices of fixed points of mappings in cones and applications
- Strategy and stationary pattern in a three-species predator--prey model
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- On Positive Solutions of Some Pairs of Differential Equations
- Positive solutions for Lotka–Volterra competition systems with large cross-diffusion
- Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
- Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
- Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
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