摘要
构建一个具有垂直传播的宿主-寄生虫传染病模型,先通过Jacobi矩阵和Bendixson-Dulac理论分析模型的局部稳定性和全局稳定性,然后给出模型的基本再生数,最后通过数值模拟对所得结果进行验证.结果表明,垂直传播的寄生虫可降低宿主的密度,但不会导致宿主种群灭绝.
We constructed a host-parasite epidemic model with vertical transmission. Firstly, the local stability and global stability of model were analyzed by Jacobian matrix and Bendixson-Dulac theory. Secondly, the basic reproduction number of the model was given. Finally, the results were verified by numerical simulations. The results show that the vertical transmission of parasites can reduce the density of the host, but will not lead to extinction of the host population.
作者
李小平
黄蓉
李辉来
LI Xiaoping;HUANG Rong;LI Huilai(College of Mathematics and Finance,Xiangnan University,Chenzhou 423000,Hunan Province,China;School of Mathematical Science,Tianjin Normal University,Tianjing 300387,China;College of Mathematics,Jilin University,Changchun 130012,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2020年第3期569-574,共6页
Journal of Jilin University:Science Edition
基金
湖南省教育厅科学研究项目(批准号:18C1019)
湖南省自然科学基金(批准号:2018JJ2370)
天津师范大学博士基金(批准号:043135202-XB1708).
关键词
稳定性
宿主灭绝
传染病模型
数值模拟
stability
host extinction
epidemic model
numerical simulation
