具有不育控制和不育年龄的种群动力学模型(英文)  

Dynamics of Population Controlled with Virus-vectored Immunocontraception and Immunocontraception Age

作　　者：王晓燕[1] 杨俊元[1,2] 张凤琴[1] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]罗瑞尔大学数学系,加拿大安大略滑铁卢N2L3C5

出　　处：《应用数学》2013年第2期241-247,共7页Mathematica Applicata

基　　金：Supported by the NSF of China(61203228,1107128);the Mathematical Tianyuan Foundation(11226258);the Sciences Foundation of Shanxi(2009011005-3);the Young Sciences Foundation of Shanxi(2011021001-1);the Foundation of University(YQ-2011045,JY-2011036)

摘　　要：VVIC是一种新的害鼠控制技术.应用生物学家想从理论上研究其有效性,从而可以用于评估和指导实验.我们建立一类年龄结构的VVIC技术控制下害鼠种群动力学模型,考虑其动力学性质,得出病毒感染性的强弱对控制一雄一雌或一雄多雌婚配制度害鼠种群影响非常大.同时也得到不育年龄可以导致模型产生周期振荡现象.Virus-vectored immunocontraception （VVIC） is a new method used to manage vertebrate pests. In order to predict its efficiency,we formulated a mathematical model with age structure to investigate the dynamics of population controlled with VVIC. The dynamical behaviors of these models are investigated. We concluded that employing virus with powerful infectivity as vectors to control monogamy or polygyny vertebrates guarantees better control effect. Meanwhile, we find that the immunocontraception age can lead to periodic phenomenon.

关 键 词：种群动力学 年龄结构 病毒不育控制 

分 类 号：O175[理学—数学]