{"title":"Analysis of a vector preference model for potato virus Y transmission","authors":"","doi":"10.28919/cmbn/8160","DOIUrl":null,"url":null,"abstract":"Potato virus Y (PVY) is one of the most common widespread vector-borne transmission diseases through aphids. In recent years, biologists have focused on the effect of vector preference to the spread of PVY. In this paper, according to transmission mechanism of PVY, a mathematical model of a vector-borne disease including preference behavior and vertical transmission of vector is formulated. The basic reproduction number R0 is calculated by using the next generation matrix method. The existence of a backward bifurcation presents a further sub-threshold condition below R0 for the spread of the disease by theoretical and numerical analysis. Numerical simulations suggest that vector preference plays an important role in the spread of PVY.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Biology and Neuroscience","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/cmbn/8160","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Potato virus Y (PVY) is one of the most common widespread vector-borne transmission diseases through aphids. In recent years, biologists have focused on the effect of vector preference to the spread of PVY. In this paper, according to transmission mechanism of PVY, a mathematical model of a vector-borne disease including preference behavior and vertical transmission of vector is formulated. The basic reproduction number R0 is calculated by using the next generation matrix method. The existence of a backward bifurcation presents a further sub-threshold condition below R0 for the spread of the disease by theoretical and numerical analysis. Numerical simulations suggest that vector preference plays an important role in the spread of PVY.
期刊介绍:
Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.