Global dynamics of a reaction and diffusion model for Lyme disease
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Publication:455781
DOI10.1007/s00285-011-0482-9zbMath1252.35076OpenAlexW1975141707WikidataQ51508332 ScholiaQ51508332MaRDI QIDQ455781
Publication date: 22 October 2012
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-011-0482-9
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Monotone flows as dynamical systems (37C65)
Related Items (17)
A nonlocal spatial model for Lyme disease ⋮ STABILITY ANALYSIS AND OPTIMAL CONTROL OF A LYME DISEASE MODEL WITH INSECTICIDES SPRAYING AND VACCINATION ⋮ Threshold dynamics of a time periodic and two-group epidemic model with distributed delay ⋮ Influence of spatial heterogeneous environment on long-term dynamics of a reaction-diffusion SVIR epidemic model with relaps ⋮ Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias ⋮ Dynamics of a periodic tick-borne disease model with co-feeding and multiple patches ⋮ Delay differential systems for tick population dynamics ⋮ A reaction-diffusion SIS epidemic model in an almost periodic environment ⋮ Traveling wave of a reaction-diffusion vector-borne disease model with nonlocal effects and distributed delay ⋮ Stability of a reaction-diffusion alcohol model with the impact of tax policy ⋮ Threshold dynamics of reaction–diffusion partial differential equations model of Ebola virus disease ⋮ Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement ⋮ A partially diffusive cholera model based on a general second-order differential operator ⋮ The asymptotic behavior of a stochastic vaccination model with backward bifurcation ⋮ Spatio-temporal dynamics of a model for the effect of variable ages at reproduction ⋮ Spatial Invasion Threshold of Lyme Disease ⋮ Dynamics of a Time-Delayed Lyme Disease Model with Seasonality
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