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Permanence and extinction for a nonautonomous schistosomiasis model with saturation incidence rate

Permanence and extinction for a nonautonomous schistosomiasis model with saturation incidence rate
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摘要 In the real world, quite a few infectious diseases like schistosomiasis spread seasonally. In this paper, a nonautonomous schistosomiasis system is established, in which the saturation incidence rate and the coefficients varying with time are taken into account. The long-time behavior of the model is studied. Under quite weak assumptions, sufficient conditions for the permanence and extinction of infectious population of disease are obtained. Finally, numerical simulations illustrate the validity of our results.
作者 Dehui Xie Xiangyu Zhang Shuixian Yan Shujing Gao
机构地区 School of Business Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques Gannan Normal University
出处 《International Journal of Biomathematics》 2015年第2期117-133,共17页 生物数学学报（英文版）
基金 Special thanks to the anonymous referees who have given us very useful suggestions. The research has been supported by the Natural Science Foundation of China （11261004）, the National Key Technologies R＆D Program of China （2009BAI78B01） and the Science and Technology Plan Projects of Jiangxi Provincial Education Department （GJJ14665, GJJ14673）.
关键词 Schistosomiasis model seasonal variability EXTINCTION permanence. 血吸虫病 非自治 持久性 模型 饱和 传染率 感染性疾病 绝灭
分类号 S858.235.9 [农业科学—临床兽医学] Q141 [生物学—生态学]
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International Journal of Biomathematics
2015年 第2期

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