Theoretical Study of the Impact of Availability and Efficacy of Controls on the Transmission Dynamics of Schistosomiasis

Abstract

In this paper we present a deterministic nonlinear model which provides mathematical and epidemiological insights to the influence of availability and efficacy of control on the transmission dynamics of Schistosomiasis. Schistosomiasis is second only to Malaria in terms of impact as the most brutal parasitic disease. There is also presently no vaccine in commercial quantity against the parasite, Schistosoma spp. Thus, the need to explore other control measures. The disease free equilibrium of the model was shown to be locally asymptotically stable if ℛ𝑐 < 1, and unstable and if ℛ𝑐 > 1. Again, the endemic equilibrium as also shown to be globally asymtotically stable for the special case when there is permanent immunity upon recovery.