{"title":"葡萄粉蚧传播葡萄卷叶病毒3型的数学模型研究","authors":"M. Chapwanya, Erin Kenyon","doi":"10.1142/s0218339023500092","DOIUrl":null,"url":null,"abstract":"Grapevine leafroll disease (GLD) is the most common and economically destructive grapevine viral disease in South African vineyards and throughout the world. There are many GLD-associated virus variants with Grapevine leafroll-associated virus 3 (GLRaV-3) being the main causative agent of GLD. The vine mealybug, Planococcus ficus, is the most widespread and problematic vector of GLRaV-3. Roguing, pesticides and sanitary measures are common control strategies used in South African vineyards. In this paper, we propose an age-structured mathematical model for the transmission of (GLRaV-3) by Planococcus ficus in the South African context. The model is investigated in terms of the transmission thresholds and control strategies. A simplified model is used to shed light into the qualitative dynamics of transmission and assess the effectiveness of roguing as the main control strategy for GLRaV-3 spread.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON MATHEMATICAL MODELING OF THE TRANSMISSION OF GRAPEVINE LEAFROLL-ASSOCIATED VIRUS 3 BY THE VINE MEALYBUG, PLANOCOCCUS FICUS\",\"authors\":\"M. Chapwanya, Erin Kenyon\",\"doi\":\"10.1142/s0218339023500092\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Grapevine leafroll disease (GLD) is the most common and economically destructive grapevine viral disease in South African vineyards and throughout the world. There are many GLD-associated virus variants with Grapevine leafroll-associated virus 3 (GLRaV-3) being the main causative agent of GLD. The vine mealybug, Planococcus ficus, is the most widespread and problematic vector of GLRaV-3. Roguing, pesticides and sanitary measures are common control strategies used in South African vineyards. In this paper, we propose an age-structured mathematical model for the transmission of (GLRaV-3) by Planococcus ficus in the South African context. The model is investigated in terms of the transmission thresholds and control strategies. A simplified model is used to shed light into the qualitative dynamics of transmission and assess the effectiveness of roguing as the main control strategy for GLRaV-3 spread.\",\"PeriodicalId\":54872,\"journal\":{\"name\":\"Journal of Biological Systems\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Biological Systems\",\"FirstCategoryId\":\"99\",\"ListUrlMain\":\"https://doi.org/10.1142/s0218339023500092\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"BIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Biological Systems","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1142/s0218339023500092","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"BIOLOGY","Score":null,"Total":0}
ON MATHEMATICAL MODELING OF THE TRANSMISSION OF GRAPEVINE LEAFROLL-ASSOCIATED VIRUS 3 BY THE VINE MEALYBUG, PLANOCOCCUS FICUS
Grapevine leafroll disease (GLD) is the most common and economically destructive grapevine viral disease in South African vineyards and throughout the world. There are many GLD-associated virus variants with Grapevine leafroll-associated virus 3 (GLRaV-3) being the main causative agent of GLD. The vine mealybug, Planococcus ficus, is the most widespread and problematic vector of GLRaV-3. Roguing, pesticides and sanitary measures are common control strategies used in South African vineyards. In this paper, we propose an age-structured mathematical model for the transmission of (GLRaV-3) by Planococcus ficus in the South African context. The model is investigated in terms of the transmission thresholds and control strategies. A simplified model is used to shed light into the qualitative dynamics of transmission and assess the effectiveness of roguing as the main control strategy for GLRaV-3 spread.
期刊介绍:
The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to):
Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine.
Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology.
Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales.
Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis.
Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology.
Numerical simulations and computations; numerical study and analysis of biological data.
Epistemology; history of science.
The journal will also publish book reviews.