Journal of Applied Mathematics and Computing

, Volume 46, Issue 1–2, pp 305–319

Threshold dynamics for a nonautonomous schistosomiasis model in a periodic environment

Original Research


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.


Nonautonomous schistosomiasis model Periodic systems Uniform permanence Extinction 

Mathematics Subject Classification

34D23 92D30 

Copyright information

© Korean Society for Computational and Applied Mathematics 2014

Authors and Affiliations

  1. 1.Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation TechniquesGannan Normal UniversityGanzhouP.R. China

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