Asymptotic profile of species migrating on a growing habitat

DOI10.1007/s10440-011-9639-1zbMath1228.35058OpenAlexW1966065096MaRDI QIDQ645019

Lai Zhang, Zhigui Lin, Qiulin Tang

Publication date: 8 November 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9639-1

zbMATH Keywords

diffusive logistic equationone space dimensionlower solutionsupper solutionsgrowing domain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Comparison principles in context of PDEs (35B51)

Related Items

The diffusive logistic equation on periodically evolving domains ⋮ The asymptotic profile of a dengue model on a growing domain driven by climate change ⋮ Spontaneous infection and periodic evolving of domain in a diffusive SIS epidemic model ⋮ Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment ⋮ A heterogeneous parasitic-mutualistic model of mistletoes and birds on a periodically evolving domain ⋮ The asymptotic profile of a dengue fever model on a periodically evolving domain ⋮ Spatial diffusion and periodic evolving of domain in an SIS epidemic model ⋮ A diffusive SIS epidemic model in a heterogeneous and periodically evolvingenvironment

Cites Work

• Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains
• Reaction-diffusion models for biological pattern formation
• Reaction and diffusion on growing domains: scenarios for robust pattern formation
• Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
• Stability analysis of reaction-diffusion systems with constant coefficients on growing domains
• Multidimensional nonlinear diffusion arising in population genetics
• Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
• The effect of growth and curvature on pattern formation
• A mechanism for morphogen-controlled domain growth
• A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains
• LOGISTIC TYPE EQUATIONS ON ℝ^N BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
• Spatial Ecology via Reaction‐Diffusion Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item