Spatial Invasion Threshold of Lyme Disease

DOI10.1137/140981769zbMath1335.35129OpenAlexW836729610MaRDI QIDQ5255222

Wendi Wang, Xiao-Qiang Zhao

Publication date: 12 June 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140981769

zbMATH Keywords

threshold dynamicsdisease controlprincipal eigenvaluesspatial heterogeneityreproduction number

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57)

Related Items (24)

A nonlocal spatial model for Lyme disease ⋮ Modeling co-infection of \textit{ixodes} tick-borne pathogens ⋮ Threshold dynamics of a time periodic and two-group epidemic model with distributed delay ⋮ Global dynamics of an age-space structured HIV/AIDS model with viral load-dependent infection and conversion rates ⋮ Dynamics of a reaction-diffusion SVIR model in a spatial heterogeneous environment ⋮ Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias ⋮ Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary ⋮ Propagation dynamics of a nonlocal spatial Lyme disease model in a time-space periodic habitat ⋮ Global dynamics of a space-age structured Covid-19 model coupling within-host infection and between-host transmission ⋮ Dynamical analysis for a reaction-diffusion HFMD model with nonsmooth saturation treatment function ⋮ Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment ⋮ Global dynamics of a controlled discontinuous diffusive SIR epidemic system ⋮ How ticks keep ticking in the adversity of host immune reactions ⋮ Mathematical analysis of an age-structured HIV/AIDS epidemic model with HAART and spatial diffusion ⋮ Sufficient conditions for global dynamics of a viral infection model with nonlinear diffusion ⋮ Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure ⋮ Modeling eating disorders in young people ⋮ Global dynamics of a reaction-diffusion malaria model ⋮ Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease) ⋮ Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate ⋮ A cross-infection model with diffusion and incubation period ⋮ Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks ⋮ Dynamics of a Time-Delayed Lyme Disease Model with Seasonality ⋮ Global dynamics and asymptotic profiles for a degenerate dengue fever model in heterogeneous environment

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