Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2022-04-22

AUTHORS

Xiaolei Zhang, Maoxing Liu

ABSTRACT

In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic dynamics. We first prove the existence and uniqueness of the positive solution of the model. Moreover, we analyze the sufficient conditions for the extinction and persistence of the model. Finally, numerical simulations are presented to illustrate our mathematical findings. More... »

PAGES

35

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13662-022-03707-7

DOI

http://dx.doi.org/10.1186/s13662-022-03707-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1147325962

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/35474915


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