具有不育控制的埃及伊蚊种群模型的全局动态  

Global Dynamics of a Mathematical Model for the Control of Aedes aegypti Mosquitoes by the Sterile Insect Release Technique

作　　者：聂玉稳[1] 刘贤宁[1,2] 宋杨[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]三峡库区生态环境教育部重点实验室,重庆400715

出　　处：《西南大学学报（自然科学版）》2012年第5期7-12,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10971168);重庆市自然科学基金项目(CSTC;2008BB0009)

摘　　要：给出了一个描述具有不育雄蚊作为生物控制的埃及伊蚊种群动力系统的模型.研究了边界平衡点及正平衡点存在和稳定的条件,得到了当正平衡点不存在时,边界平衡点全局渐近稳定的条件,即投放不育雄蚊使得野生蚊子种群灭亡的充分条件.In this paper, a mathematical model is presented describing the dynamics of mosquito population with biological control by sterile male mosquito releasing. The existence and stability of the boundary and positive equilibria are investigated. We obtain the conditions for the global asymptotical stability of the boundary equilibrium when the positive equilibria do not exist, that is, the threshold for making wild mosquito population extinct by releasing sterile male mosquitoes.

关 键 词：全局动态 埃及伊蚊 基因控制 不育雄性 

分 类 号：O175.1[理学—数学]