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Backward Bifurcation in a Model for Vector Transmitted Disease

In: Morphogenesis and Pattern Formation in Biological Systems

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  • Hisashi Inaba

    (University of Tokyo, Department of Mathematical Sciences)

Abstract

In mathematical models for the spread of infectious diseases, it is well known that there is a threshold phenomenon: if the basic reproduction number R 0 is greater than one, the disease can invade into the susceptible host community, whereas it cannot if R 0 is less than one. The basic reproduction number is the average number of secondary cases produced by one infectious individual during its total infective period, in a population that is in the disease-free steady state (see [1, 3]).

Suggested Citation

  • Hisashi Inaba, 2003. "Backward Bifurcation in a Model for Vector Transmitted Disease," Springer Books, in: Toshio Sekimura & Sumihare Noji & Naoto Ueno & Philip K. Maini (ed.), Morphogenesis and Pattern Formation in Biological Systems, chapter 23, pages 271-279, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-65958-7_23
    DOI: 10.1007/978-4-431-65958-7_23
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