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Mathematical Models for Schistosomiasis with Delays and Multiple Definitive Hosts

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Book cover Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory

Part of the book series: The IMA Volumes in Mathematics and its Applications ((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.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, York University, North York, Ontario, M3J 1P3, Canada

    Jianhong Wu

  2. Department of Mathematics, Purdue University, W. Lafayette, IN, 47907, USA

    Zhilan Feng

Authors
  1. Jianhong Wu
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  2. Zhilan Feng
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Editor information

Editors and Affiliations

  1. Mathematical and Theoretical Biology Institute and member, Departments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University, 14853-7801, Ithaca, NY, USA

    Carlos Castillo-Chavez

  2. Department of Biomathematics, UCLA School of Medicine, 90095-1766, Los Angeles, CA, USA

    Sally Blower

  3. Department of Math and Stats, University of Victoria, V8W 3P4, Victoria, British Columbia, Canada

    Pauline van den Driessche

  4. Dept. of Microbiology and Immunology, University of Michigan Medical School, 48109-0620, Ann Arbor, MI, USA

    Denise Kirschner

  5. Department of Mathematics Howard, Howard University, 20059, Washington, DC, USA

    Abdul-Aziz Yakubu

  6. Biometrics Department, Cornell University, USA

    Abdul-Aziz Yakubu

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© 2002 Springer Science+Business Media New York

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Wu, J., Feng, Z. (2002). Mathematical Models for Schistosomiasis with Delays and Multiple Definitive Hosts. In: Castillo-Chavez, C., Blower, S., van den Driessche, P., Kirschner, D., Yakubu, AA. (eds) Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory. The IMA Volumes in Mathematics and its Applications, vol 126. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0065-6_12

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  • DOI: https://doi.org/10.1007/978-1-4613-0065-6_12

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6550-4

  • Online ISBN: 978-1-4613-0065-6

  • eBook Packages: Springer Book Archive

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