标题:
浓核病毒HaDNV-1在棉铃虫种群中传播的数学模型Modeling the Transmission of Densovirus (HaDNV-1) in the Helicoverpa armigera Population
作者:
陈淑庭, 郭志明
关键字:
种群竞争, 互利共生, 雌性传播优势, 稳定性Species Competition, Mutualistic Symbiont, Female Transmission Advantage, Stability
期刊名称:
《Advances in Applied Mathematics》, Vol.5 No.2, 2016-05-13
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HaDNV-1在其种群内的传播情形。在不考虑HaDNV-1对棉铃虫的危害时，通过分析模型平衡点的稳定性得出感染型棉铃虫在竞争中占优势的结论。在考虑HaDNV-1对棉铃虫危害时，分别建立了棉铃虫造成成虫和幼虫死亡率增加的模型，并得到了使得感染型棉铃虫最终灭绝的成虫死亡率及幼虫死亡率的范围。
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 understand the influence of HaDNV-1. When the damage of HaDNV-1 is neglected, the stability of equilibria was analysed and a conclusion was drawn that the infected is dominant in Helicoverpa armigera population. Considering the harm of HaDNV-1, the model was modified by raising the mortality of the infected adult and larva respectively to indicate the cost; thereby the mortality was evaluated to lead to the infected pests extinct.