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International Journal of Biomathematics ; : 1, 2023.
Article in English | Academic Search Complete | ID: covidwho-2251095
Complexity ; 2022, 2022.
Article in English | ProQuest Central | ID: covidwho-1909917
Adv Differ Equ ; 2020(1): 502, 2020.
Article in English | MEDLINE | ID: covidwho-781533


Environmental factors, such as humidity, precipitation, and temperature, have significant impacts on the spread of the new strain coronavirus COVID-19 to humans. In this paper, we use a stochastic epidemic SIRC model, with cross-immune class and time-delay in transmission terms, for the spread of COVID-19. We analyze the model and prove the existence and uniqueness of positive global solution. We deduce the basic reproduction number R 0 s for the stochastic model which is smaller than R 0 of the corresponding deterministic model. Sufficient conditions that guarantee the existence of a unique ergodic stationary distribution, using the stochastic Lyapunov function, and conditions for the extinction of the disease are obtained. Our findings show that white noise plays an important part in controlling the spread of the disease; When the white noise is relatively large, the infectious diseases will become extinct; Re-infection and periodic outbreaks can occur due to the existence of feedback time-delay (or memory) in the transmission terms.