Competitive spatially distributed population dynamics models: does diversity in diffusion strategies promote coexistence?

DOI10.1016/j.mbs.2015.03.004zbMath1371.92106OpenAlexW2049090544WikidataQ46752175 ScholiaQ46752175MaRDI QIDQ494496

Yong-Cai Geng, Sumit K. Garg

Publication date: 1 September 2015

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2015.03.004

zbMATH Keywords

competitionglobal attractivitycoexistencesystem of partial differential equationssemi-trivial equilibriacarrying capacity driven diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (11)

Lotka systems with directed dispersal dynamics: competition and influence of diffusion strategies ⋮ Bistability induced by generalist natural enemies can reverse pest invasions ⋮ On the fitness of predators with prey-induced dispersal in a habitat with spatial heterogeneity ⋮ Decoupled algorithms for non-linearly coupled reaction-diffusion competition model with harvesting and stocking ⋮ Multiscale solver for multi-component reaction-diffusion systems in heterogeneous media ⋮ Existence and stability of traveling wavefronts for a three‐species Lotka–Volterra competitive‐cooperative system with nonlocal dispersal ⋮ Dynamics of a diffusive competition model with memory effect and spatial heterogeneity ⋮ Spatio-temporal solutions of a diffusive directed dynamics model with harvesting ⋮ On the interplay of harvesting and various diffusion strategies for spatially heterogeneous populations ⋮ Competitive-cooperative models with various diffusion strategies ⋮ Directed vs regular diffusion strategy: evolutionary stability analysis of a competition model and an ideal free pair

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