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Ying Yang
Ying Yang

Public Documents 1
Extinction and stationary distribution of a stochastic SEITR epidemic model with Orns...
Ying Yang
Nannan Zheng

Ying Yang

and 3 more

October 19, 2024
To explore the kinetic behavior of lumpy skin disease, we study a stochastic SEITR model with bilinear incidence. In this paper, we introduce a lognormal Ornstein-Uhlenbeck process as a random effect of infectious disease epidemics. In contrast to existing stochastic modeling approaches, this paper illustrates that the lognormal Ornstein-Uhlenbeck process is a reasonable assumption both in a biological sense and mathematically. We obtain two thresholds R 0 S and R 0 E . R 0 S is used to reflect the persistence and stationary distribution of infectious diseases, and R 0 E is used to ensure exponential extinction of diseases.

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