Author: Wang, Xiaodong; Wang, Chunxia; Wang, Kai
Title: Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage Cord-id: 4ttji7tw Document date: 2020_12_4
ID: 4ttji7tw
Snippet: In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number [Formula: see text] which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.
Document: In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number [Formula: see text] which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.
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