Free boundary models for mosquito range movement driven by climate warming

DOI10.1007/s00285-017-1159-9zbMath1402.35283OpenAlexW2738072709WikidataQ44167039 ScholiaQ44167039MaRDI QIDQ1709395

Yihong Du, Zhigui Lin, Wen-Di Bao, Huai-Ping Zhu

Publication date: 5 April 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-017-1159-9

zbMATH Keywords

free boundarydiffusive logistic equationclimate changewarmingmosquito range movement

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Ecology (92D40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Computational methods for problems pertaining to biology (92-08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
• The degenerate logistic model and a singularly mixed boundary blow-up problem
• Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
• The diffusive logistic model with a free boundary and seasonal succession
• Transmission dynamics of West Nile virus in mosquitoes and corvids and non-corvids
• A new model with delay for mosquito population dynamics
• Nonlinear Diffusion Problems with Free Boundaries: Convergence, Transition Speed, and Zero Number Arguments
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• The zero set of a solution of a parabolic equation.
• Spatial Ecology via Reaction‐Diffusion Equations
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