On the delayed Ross-Macdonald model for malaria transmission

Shigui Ruan, Dongmei Xiao, John C Beier

Research output: Contribution to journalArticle

95 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1098-1114
Number of pages17
JournalBulletin of Mathematical Biology
Volume70
Issue number4
DOIs
StatePublished - May 1 2008

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Malaria
Basic Reproduction Number
malaria
Culicidae
mosquito
Basic Reproduction number
Time delay
incubation
Time Delay
parasite
Parasites
parasites
Sensitivity analysis
Medicine
Model
medicine
Feedback
Sensitivity Analysis
sensitivity analysis
Infection

Keywords

  • Basic reproduction number
  • Incubation period
  • Malaria transmission
  • Ross-Macdonald model
  • Time delay

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

On the delayed Ross-Macdonald model for malaria transmission. / Ruan, Shigui; Xiao, Dongmei; Beier, John C.

In: Bulletin of Mathematical Biology, Vol. 70, No. 4, 01.05.2008, p. 1098-1114.

Research output: Contribution to journalArticle

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