Global stability and optimal control analysis of a dengue transmission model with two transmission pathways and incubation delay
A dengue transmission model with two transmission pathways and incubation delay is studied.The basic reproduction number of the system is obtained by the next generation operator method.By constructing appropriate Lyapunov functional,the global stability of each of feasible equi-libria of the system is proved.Optimal strategy for the prevention and control of dengue transmission is discussed based on Pontryagin's minimum principle.Finally,data fitting is conducted based on the actual number of dengue cases in Guangdong Province in 2014.
dengue transmission modeltwo transmission pathwaysincubation delayglobal stabilityoptimal control