Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
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Publication:4337370
DOI10.1017/S0308210500023659zbMath0941.92022OpenAlexW1966117177MaRDI QIDQ4337370
Jacques-Elie Furter, Julián López-Gómez
Publication date: 23 July 2000
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500023659
Attractors (35B41) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)
Related Items (31)
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Cites Work
- Unnamed Item
- An introduction to infinite dimensional dynamical systems -- geometric theory. With an appendix by Krzysztof P. Rybakowski
- On positive solutions of some pairs of differential equations. II
- Uniqueness of the solution of a semilinear boundary value problem
- The effect of domain shape on the number of positive solutions of certain nonlinear equations
- Diffusion-mediated persistence in two-species competition Lotka-Volterra model
- Spatial heterogeneity and interspecific competition
- Permanence and the dynamics of biological systems
- Coexistence in the competition model with diffusion
- Persistence in Infinite-Dimensional Systems
- Bifurcation of steady-state solutions in predator-prey and competition systems
- Diffusive logistic equations with indefinite weights: population models in disrupted environments
- Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
- On some linear and nonlinear eigenvalue problems with an indefinite weight function
- On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
- On an abstract competition model and applications
- Coexistence regions in Lotka-Volterra models with diffusion
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Permanence in ecological systems with spatial heterogeneity
- Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models
- Should a Park Be an Island?
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