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 in:Discrete Dynamics in Nature and Society 2013-01, Vol.2013 (2013), p.318-325-137
Main Authors: Wan, Hui, Cui, Jing'an
Format: Article
Language:English
Subjects:
Disease transmission
Malaria
Medical research
Medicine, Experimental
Physiological aspects
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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