Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model
type: Item
instance of: scholarly article
title: Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model
zbMATH Open document ID: 1406.92497
author: Stephen A. Gourley
author: Xiulan Lai
author: Junping Shi
author: Wendi Wang
author: Yanyu Xiao
author: Xingfu Zou
published in: Mathematical Biosciences and Engineering
publication date: 2019-02-01T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7010934
zbMATH Keywords: Lyme disease
zbMATH Keywords: black-legged tick
zbMATH Keywords: white-tailed deer
zbMATH Keywords: spatial model
zbMATH Keywords: delay
zbMATH Keywords: dispersal
zbMATH Keywords: traveling wavefront
zbMATH Keywords: spread rate
Wikidata QID: Q58130331
MaRDI profile type: Publication
full work available at URL: mbe.2018046
OpenAlex ID: W2772743256
cites work: Delay differential systems for tick population dynamics
cites work: A delay equation model for oviposition habitat selection by mosquitoes
cites work: Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain
cites work: Population dynamic models with nonlocal delay on bounded domains and their numerical computations
cites work: Analysis of an age structured model for tick populations subject to seasonal effects
cites work: A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
cites work: Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
cites work: Analysis of linear determinacy for spread in cooperative models
cites work: Impact of spring bird migration on the range expansion of \textit{Ixodes scapularis} tick population
DOI: 10.3934/MBE.2018046
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description: scientific article; zbMATH DE number 7010934