Stochastic Reproduction Number and Ergodicity of a Saturated-Incidence SIHR Rumor Model with Optimal Control
This paper develops a stochastic susceptible–infected–hesitating–removed (SIHR) rumor model with Hill-type saturated incidence and compartment-specific Brownian perturbations. The model focuses on when environmental noise changes a rumor’s deterministic fate and how long-run behavior is organized as an invariant law ra...