南京理工大学学报（自然科学版）2017，Vol.41Issue(3)：364-370,7.DOI:10.14177/j.cnki.32-1397n.2017.41.03.014
不同感染度血吸虫病模型的稳定性分析
Stability analysis of schistosomiasis model with different infection degrees
甘莉娟 1薛梦 1Sakhone Sysavathdy 1齐龙兴1
作者信息
- 1. 安徽大学 数学科学学院,安徽 合肥 230601
- 折叠
摘要
Abstract
A schistosomiasis model with different infection degrees is established considering the fact that a mild infected person may convert into a severe infected person under some conditions.The equilibrium point and threshold of disease outbreak are calculated.According to the sign of the characteristic root and the principle of LaSalle invariance,the disease-free equilibrium is not only locally asymptotically stable but also globally asymptotically stable.According to the Hurwitz discriminant theorem,the endemic equilibrium is locally asymptotically stable,which is proved by simulation.The impact of different infection degrees on the number of patients and the basic reproduction number is discussed.It is found that the transformation from a mild infected person to a severe infected person produces more complex effects.关键词
感染度/血吸虫病/无病平衡点/地方病平衡点/稳定性Key words
infection degrees/schistosomiasis/disease-free equilibrium/endemic equilibrium/stability分类
数理科学引用本文复制引用
甘莉娟,薛梦,Sakhone Sysavathdy,齐龙兴..不同感染度血吸虫病模型的稳定性分析[J].南京理工大学学报（自然科学版）,2017,41(3):364-370,7.
