Backward Bifurcation in a Model for Vector Transmitted Disease

Hisashi Inaba ()
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Hisashi Inaba: University of Tokyo, Department of Mathematical Sciences

Chapter 23 in Morphogenesis and Pattern Formation in Biological Systems, 2003, pp 271-279 from Springer

Abstract: 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]).

Keywords: Host Population; Epidemic Model; Vector Population; Basic Reproduction Number; Infectious Individual (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-4-431-65958-7_23

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