The diffusive logistic equation on periodically evolving domains

DOI10.1016/j.jmaa.2017.08.059zbMath1460.35204OpenAlexW2753925597MaRDI QIDQ1674373

Dan-Hua Jiang, Zhi-Cheng Wang

Publication date: 2 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.08.059

zbMATH Keywords

logistic equationpersistence and extinctionevolving domains

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Semilinear parabolic equations (35K58)

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The asymptotic analysis of a vector-host epidemic model with finite growing domain ⋮ The diffusive model for west Nile virus on a periodically evolving domain ⋮ The asymptotic profile of a dengue model on a growing domain driven by climate change ⋮ Traveling waves, blow‐up, and extinction in the Fisher–Stefan model ⋮ The asymptotic behavior of bacterial and viral diseases model on a growing domain ⋮ Modeling mosquito control by an impulsive reaction-diffusion mosquito model with periodic evolution domain ⋮ 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 ⋮ Diffusive Holling-Tanner predator-prey models in periodic environments ⋮ A heterogeneous parasitic-mutualistic model of mistletoes and birds on a periodically evolving domain ⋮ Effects of impulsive harvesting and an evolving domain in a diffusive logistic model* ⋮ Dynamics of a diffusive competitive model on a periodically evolving domain ⋮ The asymptotic profile of a dengue fever model on a periodically evolving domain ⋮ Diffusive Lotka-Volterra competition models on periodically evolving domains ⋮ Spatial diffusion and periodic evolving of domain in an SIS epidemic model ⋮ Asymptotic profile of a mutualistic model on a periodically evolving domain ⋮ A diffusive SIS epidemic model in a heterogeneous and periodically evolvingenvironment

Cites Work

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• Characterization of Turing diffusion-driven instability on evolving domains
• Free boundary problems for a Lotka-Volterra competition system
• Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains
• The asymptotic analysis of an insect dispersal model on a growing domain
• Asymptotic profile of species migrating on a growing habitat
• Global existence for semilinear reaction-diffusion systems on evolving domains
• Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications
• Reaction and diffusion on growing domains: scenarios for robust pattern formation
• Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion
• Spreading and vanishing in nonlinear diffusion problems with free boundaries
• Velocity-induced numerical solutions of reaction-diffusion systems on continuously 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 evolution of dispersal rates in a heterogeneous time-periodic environment
• Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model
• The effect of growth and curvature on pattern formation
• A mechanism for morphogen-controlled domain growth
• The diffusive logistic model with a free boundary in heterogeneous environment
• On some free boundary problems of the prey-predator model
• Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
• A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains
• A Free Boundary Problem Arising in a Model of Wound Healing
• Geometrical Structure of Laplacian Eigenfunctions
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• Diffusive logistic equations with indefinite weights: population models in disrupted environments
• Spatial Ecology via Reaction‐Diffusion Equations
• A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
• Diffusive logistic equations in population dynamics.

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