A reaction-diffusion-advection model for Aedes aegypti mosquitoes in a time-periodic environment

DOI10.1016/j.nonrwa.2018.09.014zbMath1408.92040OpenAlexW2897059440MaRDI QIDQ1729226

Zhigui Lin, Mengyun Zhang

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.09.014

zbMATH Keywords

free boundaryspreading and vanishingreaction-diffusion-advection modelAedes aegypti mosquitoestime-periodic environment

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)

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Cites Work

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• The spreading fronts in a mutualistic model with advection
• Mathematical models for the \textit{Aedes aegypti} dispersal dynamics: travelling waves by wing and wind
• Spreading and vanishing in a diffusive prey-predator model with variable intrinsic growth rate and free boundary
• Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
• The diffusive competition model with a free boundary: invasion of a superior or inferior competitor
• A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
• The diffusive competition problem with a free boundary in heterogeneous time-periodic environment
• Long time behavior for solutions of the diffusive logistic equation with advection and free boundary
• A time-periodic reaction-diffusion epidemic model with infection period
• The time-periodic diffusive competition models with a free boundary and sign-changing growth rates
• Spreading and vanishing in nonlinear diffusion problems with free boundaries
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
• Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
• A free boundary problem for the predator-prey model with double free boundaries
• Stability and attractivity of periodic solutions of parabolic systems with time delays
• The diffusive logistic model with a free boundary and seasonal succession
• A free boundary problem for \textit{Aedes aegypti} mosquito invasion
• The spreading fronts of an infective environment in a man-environment-man epidemic model
• The minimal habitat size for spreading in a weak competition system with two free boundaries
• Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
• Existence of periodic solutions for periodic eco-epidemic models with disease in the prey
• A comparison of methods for calculating the basic reproductive number for periodic epidemic systems
• Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
• A free boundary problem of a predator-prey model with higher dimension and heterogeneous environment
• Spreading and vanishing behaviors for radially symmetric solutions of free boundary problems for reaction-diffusion equations
• Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
• A spatial SIS model in advective heterogeneous environments
• Erratum: Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• A reaction–diffusion SIS epidemic model in a time-periodic environment
• Spatial Ecology via Reaction‐Diffusion Equations
• Qualitative Analysis of a Cooperative Reaction-Diffusion System in a Spatiotemporally Degenerate Environment
• A free boundary problem for a predator–prey model
• Dynamical systems in population biology

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