Positive solutions in the competitive Lotka-Volterra reaction-diffusion model with advection terms

DOI10.1090/proc/15443zbMath1465.35060OpenAlexW3157590888MaRDI QIDQ4990354

Shangjiang Guo, Li Ma

Publication date: 28 May 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15443

zbMATH Keywords

steady stateglobal asymptotical stabilitymonotone dynamical systemadvection termprincipal spectral theorysub-super solutions method

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) Positive solutions to PDEs (35B09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

Dynamics of a delayed Lotka-Volterra model with two predators competing for one prey ⋮ Steady states of a diffusive Lotka-Volterra system with fear effects ⋮ Dynamics of a delayed Lotka-Volterra competition model with directed dispersal ⋮ Dynamics of two-species Holling type-II predator-prey system with cross-diffusion ⋮ Existence of the positive steady states of a reaction-diffusion-advection competition model ⋮ Hopf bifurcation of a delayed reaction-diffusion model with advection term ⋮ Unnamed Item

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