摘要
结合工程菌在蚊子中水平和垂直传播的两种方式,建立了蚊子种群动力学模型.得到系统边界平衡点的稳定性条件以及正平衡点的存在性条件.随后在某些特定条件下得到系统边界平衡点的全局稳定性,以及系统正平衡点的存在性和稳定性.模型显示,在细菌感染蚊子的过程中,存在一个最低水平传播率,只有在高于该值时,细菌对疟疾的控制才有效.
A mosquito population dynamical model has been established by combining with two channels of horizontal and vertical transmissions of Serratia AS1 bacteria among mosquitoes.The conditions has been obtained for the existence of boundary equilibrium and local stability of the system,and for the existence of positive equilibrium.Then the global stability of the system boundary equilibrium and the existence and stability of the system positive equilibrium under some specific conditions been also obtained.According to the model,a least value of horizontal transmission rate exists in the infection between bacteria and mosquitoes,and the control works only when the transmission rate exceeds the value.
作者
陈盼盼
钟浩南
王稳地
CHEN Pan-pan;ZHONG Hao-nan;WANG Wen-di(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)
出处
《西南师范大学学报（自然科学版）》
CAS
2021年第5期25-31,共7页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(12071381).
关键词
工程细菌
水平传播
垂直传播
阶段结构
全局稳定性
engineering bacteria
horizontal transmission
vertical transmission
stage-structured
global stability
