Non-constant positive steady states for a predator-prey cross-diffusion model with Beddington-DeAngelis functional response
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Publication:536823
DOI10.1155/2011/404696zbMath1218.35121OpenAlexW1977002718WikidataQ59267100 ScholiaQ59267100MaRDI QIDQ536823
Publication date: 19 May 2011
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/232279
Population dynamics (general) (92D25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (4)
Qualitative analysis of a strongly coupled predator-prey system with modified Holling-Tanner functional response ⋮ Global solutions for a general predator-prey model with cross-diffusion effects ⋮ Periodic dynamics of predator-prey system with Beddington-DeAngelis functional response and discontinuous harvesting ⋮ Turing Instability and Bifurcation in a Diffusion Predator–Prey Model with Beddington–DeAngelis Functional Response
Cites Work
- Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
- Non-constant positive steady-states of a diffusive predator--prey system in homogeneous environment
- Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
- Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response
- Large amplitude stationary solutions to a chemotaxis system
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- Diffusion, self-diffusion and cross-diffusion
- Stability in a diffusive food-chain model with Michaelis-Menten functional response
- Strategy and stationary pattern in a three-species predator--prey model
- A diffusive predator-prey model in heterogeneous environment
- Global bifurcation of coexistence state for the competition model in the chemostat
- Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection
- Enrichment Paradox Induced by Spatial Heterogeneity in a Phytoplankton - Zooplankton System
- Asymptotic behaviour of positive steady states to a predator—prey model
- Qualitative Analysis of a Prey-Predator Model with Stage Structure for the Predator
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- Positive steady states of the Holling–Tanner prey–predator model with diffusion
- Global Stability for a Class of Predator-Prey Systems
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
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