Threshold dynamics for a nonautonomous schistosomiasis model in a periodic environment

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• 作者：Xiangyu Zhang (1)
  Shujing Gao (1)
  Huahua Cao (1)
  
• 关键词：Nonautonomous schistosomiasis model ; Periodic systems ; Uniform permanence ; Extinction ; 34D23 ; 92D30
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：46
• 期：1-2
• 页码：305-319
• 全文大小：594 KB
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• 作者单位：Xiangyu Zhang (1)
  Shujing Gao (1)
  Huahua Cao (1)
  
  1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, 341000, P.R. China
  
• ISSN：1865-2085

文摘

In this paper, we investigate a nonautonomous schistosomiasis model in a periodic environment. We obtain a threshold value between the extinction and the uniform persistence. Our main results show that the disease persists if the threshold value is larger than unity. We also prove that there exists a positive periodic solution. Numerical simulations which support our theoretical analysis are also given.