Global solutions for a tritrophic food chain model with diffusion
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Publication:1011099
DOI10.1216/RMJ-2008-38-5-1785zbMath1179.35065OpenAlexW1978573890MaRDI QIDQ1011099
Publication date: 7 April 2009
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmj-2008-38-5-1785
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model
- Global stability and persistence of simple food chains
- A semilinear parabolic system arising in the theory of superconductivity
- Persistence in food chains with general interactions
- Mathematical analysis of some three-species food-chain models
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
- Mathematical biology. Vol. 1: An introduction.
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
- Uniform boundedness and convergence of solutions to cross-diffusion systems
- Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
- Existence of traveling wave solutions in a diffusive predator-prey model
- Stability in a diffusive food-chain model with Michaelis-Menten functional response
- Strategy and stationary pattern in a three-species predator--prey model
- Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model
- Existence of Travelling Wave Solutions of Predator–Prey Systems via the Connection Index
- Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
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