Impact of spatially heterogeneous temperature on the dynamics of dengue epidemics

DOI10.3934/DCDSB.2018099zbMath1403.35137OpenAlexW2791636213MaRDI QIDQ1756993

Naveen K. Vaidya, Xianping Li, Feng-Bin Wang

Publication date: 28 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018099

zbMATH Keywords

diffusionspectral radiusprincipal eigenvaluethreshold dynamicsdengue epidemicsbasic reproductive numberspatially heterogeneous temperature

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (9)

A reaction-diffusion susceptible-vaccinated-infected-recovered model in a spatially heterogeneous environment with Dirichlet boundary condition ⋮ Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment ⋮ Global dynamics of a dengue fever model incorporating transmission seasonality ⋮ Dynamic behavior of a reaction-diffusion dengue model with spatial heterogeneity ⋮ Unnamed Item ⋮ A time-periodic and reaction-diffusion dengue fever model with extrinsic incubation period and crowding effects ⋮ Persistence of mosquito vector and dengue: impact of seasonal and diurnal temperature variations ⋮ Dynamics of a reaction-diffusion dengue fever model with incubation periods and vertical transmission in heterogeneous environments ⋮ Global dynamics and asymptotic profiles for a degenerate dengue fever model in heterogeneous environment

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