Threshold dynamics of a Huanglongbing model with logistic growth in periodic environments
type: Item
instance of: scholarly article
title: Threshold dynamics of a Huanglongbing model with logistic growth in periodic environments
zbMATH Open document ID: 1474.34360
DOI: 10.1155/2014/841367
author: Shujing Gao
author: Yueli Luo
author: Dehui Xie
author: Jianping Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We analyze the impact of seasonal activity of psyllid on the dynamics of Huanglongbing (HLB) infection. A new model about HLB transmission with Logistic growth in psyllid insect vectors and periodic coefficients has been investigated. It is shown that the global dynamics are determined by the basic reproduction number \(R_0\) which is defined through the spectral radius of a linear integral operator. If \(R_0\) < 1, then the disease-free periodic solution is globally asymptotically stable and if \(R_0\) > 1, then the disease persists. Numerical values of parameters of the model are evaluated taken from the literatures. Furthermore, numerical simulations support our analytical conclusions and the sensitive analysis on the basic reproduction number to the changes of average and amplitude values of the recruitment function of citrus are shown. Finally, some useful comments on controlling the transmission of HLB are given.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 7023181
Wikidata QID: Q59041967
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/841367
OpenAlex ID: W2153290164
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description: scientific article; zbMATH DE number 7023181