Asymptotic behavior of solutions of an ODE-PDE hybrid competition system

DOI10.1016/J.JDE.2022.06.014zbMath1498.92158OpenAlexW4283651261MaRDI QIDQ2159064

Jonas T. Doumatè, Rachidi Bolaji Salako

Publication date: 26 July 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.06.014

zbMATH Keywords

stabilityasymptotic behaviorreaction-diffusion systemscompetition systems

Mathematics Subject Classification ID

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

Related Items (1)

Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon

Cites Work

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• Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
• Reaction-diffusion-advection models for the effects and evolution of dispersal
• Can spatial variation alone lead to selection for dispersal?
• Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity
• The evolution of slow dispersal rates: a reaction diffusion model
• Geometric theory of semilinear parabolic equations
• The evolution of dispersal rates in a heterogeneous time-periodic environment
• On the effects of migration and spatial heterogeneity on single and multiple species
• Harnack inequality and exponential separation for oblique derivative problems on Lipschitz domains
• Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
• Spatial Ecology via Reaction‐Diffusion Equations
• Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
• Dynamics of a parabolic-ODE competition system in heterogeneous environments

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