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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Veröffentlicht in:	Discrete Dynamics in Nature and Society 2013-01, Vol.2013 (2013), p.318-325-137
Hauptverfasser:	Wan, Hui, Cui, Jing'an
Format:	Artikel
Sprache:	eng
Schlagworte:	Disease transmission Malaria Medical research Medicine, Experimental Physiological aspects
Online-Zugang:	Volltext
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Zusammenfassung:	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