r Khalili Amirabadi - Department of Applied Mathematics, Faculty of Science, Payamenoor University,Mashhad, Iran
a Heydari - Department of Applied Mathematics, Faculty of Science, Payamenoor University,Mashhad, Iran
m.r Zarrabi - Department of Applied Mathematics, School of Mathematics and Computer Science,Damghan University, Damghan, Iran

In this paper, we have decided to analyze SEIR epidemic model by piecewise control function dependent on threshold policy for diseases management strategy. In this study, Ec is determined as a critical value and based on this threshold have been defined and then the timing has been specified for triggering intervention measures, when the number of exposed individual exceeds a threshold level. The solution of this model finally approaches regular/sliding equilibrium point, and this result shows that outbreak is not possible

Sliding mode control, Threshold policy, SEIR epidemic model, outbreak