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Mathematical Models for Schistosomiasis with Delays and Multiple Definitive Hosts

  • Jianhong Wu
  • Zhilan Feng
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 126)

Abstract

A mathematical model for the transmission dynamics of Schistosomiasis japonicum is derived. The model consists of a system of retarded functional differential equations to take into account two important factors of the transmission process of this disease, i.e., the transit-time distribution and multiple definitive hosts (both human and non-human). The strong monotonicity principle recently established by Wu is used to show that the solution of our model equations defines an eventually strongly monotone semifiow which allows us to give a rather complete qualitative description of the global dynamics of the model.

Keywords

Definitive Host Functional Differential Equation Transmission Dynamic Global Dynamic Transmission Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Jianhong Wu
    • 1
  • Zhilan Feng
    • 2
  1. 1.Department of Mathematics and StatisticsYork UniversityNorth YorkCanada
  2. 2.Department of MathematicsPurdue UniversityW. LafayetteUSA

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