Dynamical behavior of a multi-group stochastic SEIR system with symptomatic and asymptomatic individuals

Document Type : Research Article

Author

Faculty of Mathematical sciences , University of Guilan, P. O. Box 1914, Rasht, Iran

Abstract

In this paper, a multigroup stochastic SEIR model dealing with both symptomatic and asymptomatic cases is considered. First, we show there exists  a unique global positive solution to the system for any given positive initial value. Next, we provide sufficient criteria for the existence of a unique stationary ergodic distribution of the positive solutions. Finally, sufficient criteria for disease extinction are derived.

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