University of Guilan Journal of Mathematical Modeling 2345-394X 13 4 2025 12 01 Dynamical behavior of a multi-group stochastic SEIR system with symptomatic and asymptomatic individuals 767 786 8782 10.22124/jmm.2025.30419.2730 EN Sanaz Lamei Faculty of Mathematical sciences , University of Guilan, P. O. Box 1914, Rasht, Iran Journal Article 2025 04 18 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. Multi-group SEIR model asymptomatic individuals ergodic stationary distribution extinction https://jmm.guilan.ac.ir/article_8782_35602dc76a7d65596767d77210301fd8.pdf