ON MATHEMATICAL MODELING OF THE TRANSMISSION OF GRAPEVINE LEAFROLL-ASSOCIATED VIRUS 3 BY THE VINE MEALYBUG, PLANOCOCCUS FICUS

IF 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems Pub Date : 2023-03-01 DOI:10.1142/s0218339023500092

M. Chapwanya, Erin Kenyon

引用次数: 0

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.

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葡萄粉蚧传播葡萄卷叶病毒3型的数学模型研究

葡萄叶卷病(GLD)是南非葡萄园和世界各地最常见和最具经济破坏性的葡萄病毒性疾病。glld相关病毒有许多变异，其中葡萄叶相关病毒3 (glav -3)是glld的主要病原体。葡萄粉蚧(Planococcus ficus)是glav -3最广泛和最具问题的载体。除草、杀虫剂和卫生措施是南非葡萄园常用的控制策略。在本文中，我们提出了一个年龄结构的数学模型(glrav3)的传播Planococcus ficus在南非的背景下。从传输阈值和控制策略两个方面对该模型进行了研究。采用简化模型揭示了传播的定性动力学，并评估了roguing作为glav -3传播主要控制策略的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Biological Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

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.