具有性别结构的免疫不育控制模型  

Immunocontraception Control Models with Sex-structure

作　　者：张美明[1,2] 张凤琴[1] 吕江[2] 张学选[1] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]中北大学数学系,山西太原030051

出　　处：《信阳师范学院学报（自然科学版）》2011年第4期425-429,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11071283);运城学院院级科研项目(YQ-2010004)

摘　　要：建立了免疫不育控制下的具有性别结构的单种群模型,利用特征方程和第二加性复合矩阵,讨论了系统平衡点的局部稳定性,并给出了理论结果的数值模拟,讨论了分别对雌性、雄性进行不育控制时参数对种群动态的影响.Immunocontraception control models with sex-structure was presented. By analyzing the corresponding characteristic equation and the second additive compound matrix, the local stability of the system was discussed and the global dynamics with numerical simulations were given. The effects of parameters on population under male-specific and female-specific virus-vectored were discussed.

关 键 词：免疫不育控制 性别结构 密度制约 竞争性繁殖干扰 

分 类 号：Q141[生物学—生态学]