摘要
在一个简单的SEIR疟疾传播模型的基础上,建立了一个带有不育蚊子的疟疾传播模型,分析了模型的无病平衡点的存在性和稳定性,给出了基本再生数的公式,证明了地方病平衡点的存在性,对所得理论结果进行了数值模拟.
On the basis of a simple SEIR malaria transmission model, a malaria transmission model with sterile mosquitoes was established. The existence and local stability of the infection-free equilibrium were analyzed, the formula of the reproductive number was derived, and the existence of an endemic equilibrium was proved. At last, numerical simulations were carded out to illustrate the theoretical results.
出处
《中南民族大学学报(自然科学版)》
CAS
北大核心
2016年第4期137-141,共5页
Journal of South-Central University for Nationalities:Natural Science Edition
基金
中央高校基本科研业务费专项资金资助项目(CZQ13016)
关键词
不育蚊子
疟疾传播
稳定性
基本再生数
地方病平衡点
sterile mosquitoe
malaria transmission
stability
reproductive number
endemic equilibrium