Analysis and event-triggered control for a stochastic epidemic model with logistic growth

Analysis and event-triggered control for a stochastic epidemic model with logistic growth

T Cai, Y Wang, L Wang, Z Tang, J Zhou – Mathematical Biosciences and Engineering, 2023

In this paper, a stochastic epidemic model with logistic growth is discussed. Based on stochastic differential equation theory, stochastic control method, etc., the properties of the solution of the model nearby the epidemic equilibrium of the original deterministic system are investigated, the sufficient conditions to ensure the stability of the disease-free equilibrium of the model are established, and two event-triggered controllers to drive the disease from endemic to extinction are constructed. The …