Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model

DOI10.3934/mbe.2018046zbMath1406.92497OpenAlexW2772743256WikidataQ58130331 ScholiaQ58130331MaRDI QIDQ1714920

Stephen A. Gourley, Xiulan Lai, Xingfu Zou, Wendi Wang, Junping Shi, Yanyu Xiao

Publication date: 1 February 2019

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2018046

zbMATH Keywords

delaydispersalspread ratespatial modelLyme diseasetraveling wavefrontblack-legged tickwhite-tailed deer

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Traveling wave solutions (35C07)

Related Items (4)

Minimal wave speed and spread speed in a system modelling the geographic spread of black-legged tick Ixodes scapularis ⋮ Propagation dynamics of a nonlocal spatial Lyme disease model in a time-space periodic habitat ⋮ Exponential stability of traveling wavefronts for a system modeling the geographic spread of black-legged tick \textit{Ixodes scapularis} ⋮ The principal eigenvalue for partially degenerate and periodic reaction-diffusion systems with time delay

Cites Work

• Impact of spring bird migration on the range expansion of \textit{Ixodes scapularis} tick population
• Analysis of an age structured model for tick populations subject to seasonal effects
• A delay equation model for oviposition habitat selection by mosquitoes
• Delay differential systems for tick population dynamics
• Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain
• Analysis of linear determinacy for spread in cooperative models
• Population dynamic models with nonlocal delay on bounded domains and their numerical computations
• A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity

This page was built for publication: Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model