具有竞争性繁殖干扰的不育控制害鼠种群模型  

Dynamic Model of Bandicoot Population with Competitive Reproductive Interference under Virus-vectored Immunocontraception Control

作　　者：吕江[1,2] 张凤琴[1] 刘汉武[1] 张美明[1,2] 

机构地区：[1]运城学院应用数学系,运城044000 [2]中北大学理学院,太原030051

出　　处：《工程数学学报》2013年第2期263-270,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(11071283);山西省自然科学基金(2009011005-3)~~

摘　　要：不育控制是一种新的鼠害控制方法,通常认为竞争性繁殖干扰可以增强控制效果.本文建立了一类具有竞争性繁殖干扰的不育控制下的害鼠种群动态模型,来分析竞争性繁殖干扰的作用.利用定性稳定性理论、Hurwitz判据、数值模拟等方法,得到了模型平衡点的存在性和稳定性.通过分析知道竞争性繁殖干扰可以使不育控制的作用更持久,抑制鼠类数量的快速恢复.Contraception control is a new way to control rodent pest. In general opinion, the competitive reproductive interference can enhance control effect. To assess the effect of competitive reproductive interference, dynamics models of rodent population with immuno- contraception control are established, in which the competitive reproductive interference is involved. Based on the qualitative and stability theory, Hurwitz criterion and the numerical simulation, the existence and stability of equilibriums are investigated. As a result, the compet- itively reproductive interference can perpetuate the effect of contraception control and repress the rodent population to restore rapidly.

关 键 词：不育控制 竞争性繁殖干扰 稳定性 密度制约 

分 类 号：O175.13[理学—数学]