J Biol Dyn. 2025 Dec;19(1):2521509. doi: 10.1080/17513758.2025.2521509. Epub 2025 Jun 24.
ABSTRACT
This paper is concerned with a stochastic SEIR model with infectivity in the incubation period and homestead-isolation on the susceptible, which is perturbed by white and colour noises. The model has a unique stationary distribution, which reflects the persistence of epidemics over a long period. Using the Has-minskii theorem and constructing stochastic Lyapunov functions with regime switching, we derive an important condition R0s. Comparing the expression for R0 and R0s, we can see that if there is no environmental noise, then R0s=R0. It ensures the asymptotic stability of the positive equilibrium E∗ of the corresponding deterministic system.
PMID:40554776 | DOI:10.1080/17513758.2025.2521509
