Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage

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 sto...

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Detalles Bibliográficos
Autores principales: Wang, Xiaodong, Wang, Chunxia, Wang, Kai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7716292/
https://www.ncbi.nlm.nih.gov/pubmed/33293941
http://dx.doi.org/10.1186/s13662-020-03145-3
Descripción
Sumario: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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