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  • 标题:On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period
  • 本地全文:下载
  • 作者:Shujing Gao ; Yanfei Dai ; Dehui Xie
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2016
  • 卷号:2016
  • DOI:10.1155/2016/8707258
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A five-dimensional nonautonomous schistosomiasis model which include latent period is proposed and studied. By constructing several auxiliary functions and using some skills, we obtain some sufficient conditions for the extinction and permanence (uniform persistence) of infectious population of the model. New threshold values of integral form are obtained. For the corresponding autonomous schistosomiasis model, our results are consistent with the past results. For the periodic and almost periodic cases, some corollaries for the extinction and permanence of the disease are established. In order to illustrate our theoretical analysis, some numerical simulations are presented.
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