The backward bifurcation of a model for malaria infection
2018 ◽
Vol 11
(02)
◽
pp. 1850018
◽
Keyword(s):
In this paper, an epidemic model of a vector-borne disease, namely, malaria, is considered. The explicit expression of the basic reproduction number is obtained, the local and global asymptotical stability of the disease-free equilibrium is proved under certain conditions. It is shown that the model exhibits the phenomenon of backward bifurcation where the stable disease-free equilibrium coexists with a stable endemic equilibrium. Further, it is proved that the unique endemic equilibrium is globally asymptotically stable under certain conditions.
2010 ◽
Vol 03
(03)
◽
pp. 299-312
◽
2014 ◽
Vol 2014
◽
pp. 1-6
◽
2015 ◽
Vol 08
(06)
◽
pp. 1550082
◽
2013 ◽
Vol 18
(2)
◽
pp. 250-263
◽
2017 ◽
Vol 10
(07)
◽
pp. 1750096
◽