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MODELING THE SCHISTOSOMIASIS ON THE ISLETS IN NANJING

MODELING THE SCHISTOSOMIASIS ON THE ISLETS IN NANJING

作     者:LONGXING QI JING-AN CUI YUAN GAO HUAIPING ZHU 

作者机构:School of Mathematical Sciences Anhui University Hefei 230601 P. R. China College of Science Beijing University of Civil Engineering and Architecture Beijing 100044 P. R. China Nanjing Center for Disease Control and Prevention Nanjing 210003 P. R. China Department of Mathematics and Statistics Laboratory of Mathematical Parallel Systems and Centre for Disease Modeling York University Toronto ON Canada M3J 1P3 

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4期

页      面:189-205页

核心收录:

学科分类:090603[农学-临床兽医学] 07[理学] 09[农学] 0906[农学-兽医学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Natural Sciences and Engineering Research Council of Canada, NSERC National Natural Science Foundation of China, NSFC, (11071011, 11126177) Anhui University, (KJTD002B) Mitacs University Natural Science Research Project 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:Schistosomiasis compartmental model equilibrium state stability control strategy. 

摘      要:A compartmental model is established for schistosomiasis infection in Qianzhou and Zimuzhou, two islets in the center of Yangtzi River near Nanjing, P. R. China. The model consists of five differential equations about the susceptible and infected subpopu- lations of mammalian Rattus norvegicus and Oncomelania snails. We calculate the basic reproductive number R0 and discuss the global stability of the disease free equilibrium and the unique endemic equilibrium when it exists. The dynamics of the model can be characterized in terms of the basic reproductive number. The parameters in the model are estimated based on the data from the field study of the Nanjing Institute of Para- sitic Diseases. Our analysis shows that in a natural isolated area where schistosomiasis is endemic, killing snails is more effective than killing Rattus norvegicus for the control of schistosomiasis.

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