Global dynamics of a heroin epidemic model with age structure and nonlinear incidence
2016 ◽
Vol 09
(03)
◽
pp. 1650033
◽
Keyword(s):
A heroin model with nonlinear incidence rate and age structure is investigated. The basic reproduction number is determined whether or not a heroin epidemic breaks out. By employing the Lyapunov functionals, the drug-free equilibrium is globally asymptotically stable if [Formula: see text]; while the drug spread equilibrium is also globally asymptotically stable if [Formula: see text]. Our results imply that improving detected rates and drawing up the efficient prevention play more important role than increasing the treatment for drug users.
2019 ◽
Vol 12
(03)
◽
pp. 1950038
◽
2016 ◽
Vol 09
(03)
◽
pp. 1650046
◽
2017 ◽
Vol 10
(05)
◽
pp. 1750067
◽
2018 ◽
Vol 2018
◽
pp. 1-11
◽
2015 ◽
Vol 08
(02)
◽
pp. 1550027
◽