Predator-prey dynamics with delay when prey dispersing in \(n\)-patch environment

DOI10.1007/BF03167461zbMath1018.92032OpenAlexW2052809475WikidataQ115609668 ScholiaQ115609668MaRDI QIDQ1394566

Taketomo Mitsui, Lin Qiu

Publication date: 15 September 2003

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167461

zbMATH Keywords

positive solutionsequilibriumpermanenceglobally asymptotically stablepredator-prey dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

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• Delay differential equations: with applications in population dynamics
• Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution
• Mathematical models of population interactions with dispersal. II: Differential survival in a change of habitat
• Global stability in generalized Lotka-Volterra diffusion systems
• Global stability of single-species diffusion Volterra models with continuous time delays
• Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates
• Migratory effects in predator-prey models
• Predator-prey dynamics in models of prey dispersal in two-patch environments
• Asymptotic behavior of a predator-prey system with diffusion and delays
• Diffusion effect on stability of Lotka-Volterra models
• Persistence in Infinite-Dimensional Systems
• On the existence and uniqueness of connecting orbits
• Predator survival versus extinction as a function of dispersal in a predator–prey model with patchy environment
• Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with and without a Predator
• Global stability and predator dynamics in a model of prey dispersal in a patchy environment