On the delayed Ross-Macdonald model for malaria transmission.

Abstract:

:The feedback dynamics from mosquito to human and back to mosquito involve considerable time delays due to the incubation periods of the parasites. In this paper, taking explicit account of the incubation periods of parasites within the human and the mosquito, we first propose a delayed Ross-Macdonald model. Then we calculate the basic reproduction number R0 and carry out some sensitivity analysis of R0 on the incubation periods, that is, to study the effect of time delays on the basic reproduction number. It is shown that the basic reproduction number is a decreasing function of both time delays. Thus, prolonging the incubation periods in either humans or mosquitos (via medicine or control measures) could reduce the prevalence of infection.

journal_name

Bull Math Biol

authors

Ruan S,Xiao D,Beier JC

doi

10.1007/s11538-007-9292-z

subject

Has Abstract

pub_date

2008-05-01 00:00:00

pages

1098-114

issue

4

eissn

0092-8240

issn

1522-9602

journal_volume

70

pub_type

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