浓核病毒HaDNV-1在棉铃虫种群中传播的数学模型.pdfVIP

Advances in Applied Mathematics 应用数学进展, 2016, 5(2), 242-254 Published Online May 2016 in Hans. /journal/aam /10.12677/aam.2016.52031 Modeling the Transmission of Densovirus (HaDNV-1) in the Helicoverpa armigera Population Shuting Chen, Zhiming Guo School of Mathematics and Information Science, Guangzhou University, Guangzhou Guangdong rd th th Received: Apr. 23 , 2016; accepted: May 10 , 2016; published: May 13 , 2016 Copyright © 2016 by authors and Hans Publishers Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). /licenses/by/4.0/ Abstract Densovirus (HaDNV-1) is a mutualistic symbiont of Helicoverpa armigera, and the infected females occupy advantage in vertical transmission. A model of species competition was posed to under- stand the influence of HaDNV-1. When the damage of HaDNV-1 is neglected, the stability of equili- bria was analysed and a conclusion was drawn that the infected is dominant in Helicoverpa armi- gera population. Considering the harm of HaDNV-1, the model was modified by raising the mortal- ity of the infected adult and larva respectively to indicate the cost; thereby the mortality was eva- luated to lead to the infected pests extinct. Keywords Species Competition, Mutualistic Symbiont, Female Transmission Advantage, Stability 浓核病毒HaDNV-1在棉铃虫种群中传播的 数学模型 陈淑庭，郭志明 广州大学数学与信息科学学院，广东 广州 文章引用: 陈淑庭, 郭志明. 浓核病毒 HaDNV-1 在棉铃虫种群中传播的数学模型[J]. 应用数学进展, 2016, 5(2): 242-254. /10.12677/aam.2016.52031 陈淑庭，郭志明 收稿日期：2016年4月23 日；录用日期：2016年5月10 日；发布日期：2016年5月13 日 摘 要 HaDNV-1是一种与棉铃虫互利共生的浓核病毒，垂直传播时具有“雌性传播优势”机制。通过建立棉铃 虫种群竞争模型，研究HaD