THE DELAYED BARBOUR＇S MODEL FOR SCHISTOSOMIASIS

作     者：LONGXING QI JING-AN CUI 

作者机构：School of Mathematical Sciences Anhui UniversityHefei 230601P.R.China College of Science Beijing University of Civil Engineering and Architecture Beijing 100044P.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2012年第5卷第2期

页      面：117-137页

核心收录：

学科分类：090603[农学-临床兽医学] 08[工学] 09[农学] 0906[农学-兽医学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：National Natural Science Foundation of China, NSFC, (11071011, 11126177) Anhui University, (KJTD002B) Provincial Foundation for Excellent Young Talents of Colleges and Universities of Anhui Province, (2012SQRL021) Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality, (PHR201107123) 

主　　题：Barbour's two-definitive-host model schistosomiasis basic reproductivenumber three time delays. 

摘      要：The transmission of schistosomiasis involves latent periods of infected hosts. In this paper, considering the latent periods of infected human, infected bovines and infected snails, we propose a delayed Barbour＇s model with two definitive hosts and define basic reproductive number. The stability of equilibria for the systems with and without time delays are both investigated. To study the impact of the latent periods on the transmission of schistosomiasis, some sensitivity analysis of the basic reproductive number on the three time delays are carried out. It is shown that the basic reproductive number decreases as the three time delays increase. Furthermore, the impact of the latent periods of infected snails on the system is stronger than that of the latent periods of infected human and infected bovines. Thus, to reduce the prevalence of schistosomiasis infection, prolonging the latent periods of infected snails by some measures could achieve better results than prolonging the latent periods of infected definitive hosts.