A predator-prey reaction-diffusion system with nonlocal effects
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Publication:1909279
DOI10.1007/BF00160498zbMath0840.92018OpenAlexW2015899817WikidataQ115610778 ScholiaQ115610778MaRDI QIDQ1909279
Stephen A. Gourley, Nicholas F. Britton
Publication date: 1 May 1996
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00160498
time delaylinear stabilitypattern formationpredator-prey systembifurcating solutionscoupled system of reaction-diffusion equationscoexistence steady statelogistic growth of the preyLotka Volterra diffusion system
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)
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Cites Work
- Some conditions for global asymptotic stability of equilibria of integrodifferential equations
- Asymptotic stability for some systems of semilinear Volterra diffusion equations
- On a modified Volterra population equation with diffusion
- Instability of travelling wave solutions of a population model with nonlocal effects
- Permanence and global attractivity for competitive Lotka–Volterra systems with delay
- Turing Instability in Competition Models with Delay I: Linear Theory
- Analysis of Spatial Structure in a Predator-Prey Model with Delay II: Nonlinear Theory
- The chemical basis of morphogenesis
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
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