On the effects of carrying capacity and intrinsic growth rate on single and multiple species in spatially heterogeneous environments

DOI10.1007/s00285-020-01507-9zbMath1444.92088OpenAlexW3040203114WikidataQ97070692 ScholiaQ97070692MaRDI QIDQ2192655

Wei-Ming Ni, Xiaoqing He, Qian Guo

Publication date: 17 August 2020

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-020-01507-9

zbMATH Keywords

asymptotic stabilityreaction-diffusion equationscoexistencecarrying capacityspatial heterogeneityintrinsic growth rate

Mathematics Subject Classification ID

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

Related Items (12)

Forced waves of reaction-diffusion model with density-dependent dispersal in shifting environments ⋮ Total biomass of a single population in two-patch environments ⋮ Instability of all regular stationary solutions to reaction-diffusion-ODE systems ⋮ Dynamics of a periodic-parabolic Lotka-Volterra competition-diffusion system in heterogeneous environments ⋮ Dynamics of a delayed Lotka-Volterra competition model with directed dispersal ⋮ Stable discontinuous stationary solutions to reaction-diffusion-ODE systems ⋮ Optimising the carrying capacity in logistic diffusive models: some qualitative results ⋮ Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species ⋮ A single consumer model with Neumann boundary condition ⋮ A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity ⋮ Global dynamics of a general Lotka-Volterra competition-diffusion system in heterogeneous environments ⋮ Global dynamics of a two-species Lotka-Volterra competition-diffusion-advection system with general carrying capacities and intrinsic growth rates. II: Different diffusion and advection rates

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