Models for Predator-Prey Systems at Multiple Scales

DOI10.1137/1038041zbMath0856.92019OpenAlexW1981859689WikidataQ115525674 ScholiaQ115525674MaRDI QIDQ4887211

Chris Cosner, Robert Stephen Cantrell

Publication date: 24 February 1997

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1038041

zbMATH Keywords

equilibriumemigrationimmigrationpredator-prey interactionspatch modelspseudoequilibriumreaction-diffusion modelstemporal scalesspatial scalespredator dispersalprey dispersal

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (11)

Spatiotemporal pattern formation in a prey–predator model with generalist predator ⋮ Spatial attrition modeling: stability conditions for a FD formulation ⋮ A comparison of foraging strategies in a patchy environment ⋮ Coexistence states in a cross-diffusion system of a predator–prey model with predator satiation term ⋮ Continuous traveling waves for prey-taxis ⋮ A non-local delayed and diffusive predator-prey model. ⋮ A delay equation model for oviposition habitat selection by mosquitoes ⋮ Local versus nonlocal interactions in a reaction-diffusion system of population dynamics ⋮ How many consumer levels can survive in a chemotactic food chain? ⋮ Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses ⋮ Persistence and extinction in two species reaction-diffusion systems with delays

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