Population model with diffusion and supplementary forest resource in a two-patch habitat

DOI10.1016/j.apm.2007.03.012zbMath1180.35285OpenAlexW2006076467WikidataQ111378280 ScholiaQ111378280MaRDI QIDQ1031597

Joydip Dhar

Publication date: 30 October 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2007.03.012

zbMATH Keywords

asymptotic stabilitysteady statelogistic equationno-flux boundary conditionsreservoir boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

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• A model for two competing species with self and cross-diffusion
• Population diffusion in a two-patch environment
• Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates
• Diffusion-driven instability in a predator-prey system with time-varying diffusivities
• Nonhomogeneous spatial distributions of populations
• Species extinction problem: genetic vs ecological factors
• Innovation diffusion model in patch environment.
• THE EFFECT OF A PREDATOR RESOURCE ON A DIFFUSIVE PREDATOR PREY SYSTEM
• Steady-state analysis in a model for population diffusion in a multi-patch environment
• Global stability in models of population dynamics with diffusion. I. Patchy environments