Global stability analysis of a double delay Leishmaniasis model with saturated incidence rate
Leishmaniasis,also known as kala-azar,is transmitted by the bite of infected sandflies.The two most common clinical manifestations of the disease are visceral Leishmaniasis and cutaneous Leish-maniasis.In order to effectively control the spread of the disease,a double delay Leishmaniasis model with saturated incidence rate is proposed.First,this paper analyzes the existence of equilibrium points and determines the basic regeneration number.Then,by constructing an appropriate Lyapunov function and using the LaSalle invariance principle,the global stability of the equilibrium point of the system is studied.Finally,this study verifies the feasibility of the results through numerical simulation and gives the corre-sponding conclusion.