A Malaria Model with Two Delays

A transmission model of malaria with two delays is formulated. We calculate the basic reproduction number R0 for the model. It is shown that the basic reproduction number is a decreasing function of two time delays. The existence of the equilibria is studied. Our results suggest that the model under...

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Bibliographic Details
Published inDiscrete Dynamics in Nature and Society Vol. 2013; no. 2013; pp. 318 - 325-137
Main Authors Wan, Hui, Cui, Jing'an
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2013
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Disease transmission
Malaria
Medical research
Medicine, Experimental
Physiological aspects
United Kingdom
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Summary:A transmission model of malaria with two delays is formulated. We calculate the basic reproduction number R0 for the model. It is shown that the basic reproduction number is a decreasing function of two time delays. The existence of the equilibria is studied. Our results suggest that the model undergoes a backward bifurcation, which implies that bringing the basic reproduction number below 1 is not enough to eradicate malaria.
ISSN:1026-0226
1607-887X
DOI:10.1155/2013/601265