Dynamical behavior of a novel impulsive switching model for HLB with seasonal fluctuations
type: Item
instance of: scholarly article
title: Dynamical behavior of a novel impulsive switching model for HLB with seasonal fluctuations
zbMATH Open document ID: 1398.92236
DOI: 10.1155/2018/2953623
author: Shujing Gao
author: Lei Luo
author: Shuixian Yan
author: Xinzhu Meng
published in: Complexity
publication date: 2018-08-08T00:00:00Z
review text: Summary: This paper studies a new model for Huanglongbing with seasonal fluctuations. Switching coefficients and switching control schemes are considered in this model. The main purpose of this paper is to study the effects of switching control schemes on dynamics of the model. Firstly, we theoretically investigate the basic reproductive number and its computation formulae for general impulsive switching model with periodic environment. Secondly, the basic reproductive number and global dynamics of the impulsive switching model for Huanglongbing are analyzed. Finally, numerical results indicate that spring and autumn are the optimum seasons for killing psyllids, and winter is the optimum season for removing infected trees.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 6914648
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2953623
OpenAlex ID: W2882971977
cites work: Mathematical modeling of citrus groves infected by Huanglongbing
cites work: An epidemic model of a vector-borne disease with direct transmission and time delay
cites work: Modeling the spread and control of dengue with limited public health resources
cites work: Transmission dynamics of West Nile virus in mosquitoes and corvids and non-corvids
cites work: A mathematical model with delays for schistosomiasis japonicum transmission
cites work: Global stability and persistence of HIV models with switching parameters and pulse control
cites work: A Plant Virus Disease Model with Periodic Environment and Pulse Roguing
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Threshold dynamics for compartmental epidemic models in periodic environments
cites work: Threshold dynamics for compartmental epidemic models with impulses
cites work: Q4325523
cites work: Dynamical systems in population biology
cites work: Transmission dynamics of a Huanglongbing model with cross protection
Wikidata QID: Q129456947
description: scientific article; zbMATH DE number 6914648