Sliding motion control of Echinococcosis transmission dynamics model.

Hydatid disease is a chronic zoonotic parasitic disease caused by Echinococcus. This paper proposes and analyzes a mathematical model of Echinococcosis disease system with a piecewise control function concerning threshold policy. The model is represented the control measures being triggered once the total number of infected hosts and human reaches the tolerant level. Model solutions are able to approach either one real equilibrium or the pseudo-equilibrium, depending on the tolerant threshold. Our results suggest that in order to diminish the outbreak of Echinococcosis or lead the number of infecteds to an expected level, it requires not only adequate hospital resources and certain government interventions, but also a good threshold policy. [ABSTRACT FROM AUTHOR]