Asymptotic behavior of solutions of a periodic diffusion system of plankton allelopathy

DOI10.1016/j.nonrwa.2009.03.012zbMath1194.35035OpenAlexW2021559188MaRDI QIDQ974571

Canrong Tian, Zhigui Lin

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.03.012

zbMATH Keywords

upper and lower solutionsglobal attractivityDirichlet boundary conditionspositive or semi-positive solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Population dynamics (general) (92D25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (12)

Global attractivity of a discrete competition model of plankton allelopathy with infinite deviating arguments ⋮ Uniformly asymptotic stability of almost periodic solutions for a delay difference system of plankton allelopathy ⋮ Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion ⋮ Asymptotic behaviors of a delay difference system of plankton allelopathy ⋮ Coexistence Solutions for a Periodic Competition Model with Singular–Degenerate Diffusion ⋮ Coexistence and asymptotic periodicity in a competition model of plankton allelopathy ⋮ Global stability in a competition model of plankton allelopathy with infinite delay ⋮ Pattern formation for a model of plankton allelopathy with cross-diffusion ⋮ Asymptotic behavior of the reaction-diffusion model of plankton allelopathy with nonlocal delays ⋮ Extinction in a discrete Lotka–Volterra competitive system with the effect of toxic substances and feedback controls ⋮ Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting ⋮ Extinction for a discrete competition system with the effect of toxic substances

Cites Work

• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Periodic solutions of reaction diffusion systems in a half-space domain
• The stability of a diffusion model of plankton allelopathy with spatio-temporal delays
• Periodic solutions of parabolic systems with nonlinear boundary conditions
• Stability and attractivity of periodic solutions of parabolic systems with time delays
• Coupled nonlinear parabolic systems with time delays
• Positive periodic solutions of predator-prey reaction-diffusion systems
• Asymptotic behaviour of solutions of periodic competition diffusion system
• Global attractivity and stability in some monotone discrete dynamical systems
• Persistence in a periodic competitor-competitor-mutualist diffusion system
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