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 Bioljournal_title
Bulletin of mathematical biologyauthors
Ruan S,Xiao D,Beier JCdoi
10.1007/s11538-007-9292-zsubject
Has Abstractpub_date
2008-05-01 00:00:00pages
1098-114issue
4eissn
0092-8240issn
1522-9602journal_volume
70pub_type
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