Spatial heterogeneity and the stability of predator-prey systems: Predator-Mediated coexistence

DOI10.1016/0040-5809(78)90015-1zbMath0392.92012OpenAlexW2068171802WikidataQ45106833 ScholiaQ45106833MaRDI QIDQ1251997

Alan Hastings

Publication date: 1978

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(78)90015-1

zbMATH Keywords

CompetitionStabilityCoexistencePredator-Prey SystemsSpatial Heterogeneity

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Related Items (10)

Spatial mechanisms for coexistence of species sharing a common natural enemy ⋮ Overall population stability despite local extinction: The stabilizing influence of prey dispersal from predator-invaded patches ⋮ Global asymptotic stability of Lotka--Volterra 3-species reaction--diffusion systems with time delays ⋮ Disturbance, coexistence, history, and competition for space ⋮ Multiple limit cycles in predator-prey models ⋮ Models for spatially distributed populations: The effect of within-patch variability ⋮ Global asymptotic stability of 3-species Lotka-Volterra models with diffusion and time delays ⋮ The dynamics of predation and competition in patchy environments ⋮ Persistence in models of three interacting predator-prey populations ⋮ The diffusive Lotka-Volterra competition model in fragmented patches. I: Coexistence

Cites Work

• Spatial heterogencity and the stability of predator-prey systems
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Disturbance, Patch Formation, and Community Structure
• Regional Coexistence of Species and Competition between Rare Species
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS
• Functional differential equations

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