A Malaria Model with Two Delays
Author(s) -
Hui Wan,
Jinǵan Cui
Publication year - 2013
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2013/601265
Subject(s) - reproduction , function (biology) , malaria , computer science , basic reproduction number , mathematics , algorithm , biology , demography , ecology , evolutionary biology , sociology , population , immunology
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
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