Effects of travel frequency on the persistence of mosquito-borne diseases
type: Item
instance of: scholarly article
title: Effects of travel frequency on the persistence of mosquito-borne diseases
zbMATH Open document ID: 1469.92105
author: Xianyun Chen
author: Daozhou Gao
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-05-20T00:00:00Z
review text: In this paper, the authors have developed a multipatch model to study the impact of travel frequency and human biting rate on the spatial spread of mosquito-borne diseases. The basic reproduction number \(\mathcal{R}_0\) is defined. It is shown that the disease-free equilibrium is globally asymptotically stable if \(\mathcal{R}_0\leq 1\), and there is a unique endemic equilibrium that is globally asymptotically stable if \(\mathcal{R}_0>1\). For the single patch model, the authors have gave some more detailed study. Numerical simulations suggest that the greater the difference in travel frequency, the larger the underestimate of the transmission potential.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 91D25
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7349938
zbMATH Keywords: mosquito-borne disease
zbMATH Keywords: travel frequency
zbMATH Keywords: patch model
zbMATH Keywords: basic reproduction number
zbMATH Keywords: global stability
zbMATH Keywords: underestimate
MaRDI profile type: Publication
full work available at URL: dcdsb.2020119
OpenAlex ID: W3013226110
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DOI: 10.3934/DCDSB.2020119
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description: scientific article; zbMATH DE number 7349938