带有成虫配对率的日本血吸虫病双宿主模型  

A Dual-host Model of Schistosomiasis Japonicum with Mating Ratio

作　　者：朱天佳[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《工程数学学报》2009年第1期23-31,共9页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金重点项目(10531030)

摘　　要：本文讨论血吸虫病的Barbour双宿主模型的稳定性。在此基础上,为讨论终宿主群体的平均虫负荷,加入成虫配对率的概念,改进了这一模型。对于新模型,得到了其平衡点的存在性定理,给出相应的阈值并对可能存在的3种情形分类,得到了解的全局稳定性定理。本文还探讨了可能的控制措施对阈值和平衡点的影响,以及阈值的生物意义。In this paper, the asymptotic stability of the Barbour dual-host model for transmission of schistosomiasis japonicum is studied. Moreover, an improved model is presented by using the concept of mating ratio, the average number of schistosome per person, and the corresponding threshold value, existence and stability of equilibriums are given. Influence on threshold value and equilibriums by possible controlling measures, as well as biological meanings of the threshold value have also been discussed.

关 键 词：日本血吸虫病 双宿主模型 成虫配对率 基本再生数 全局渐近稳定性 合作系统 

分 类 号：R532.21[医药卫生—内科学]