Cytomegalovirus dynamics model with random behavior

In view of the particularity of cytomegalovirus infection in infants and considering the uncertainty of infection mode and treatment, a dynamic model of cytomegalovirus with random behavior is established in this paper. The existence and uniqueness of the solution of the model are proved. Sufficient...

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Bibliographic Details
Main Authors: Dong-Mei Li, Bing Chai, Yu-Li Fu, Qi Wang
Format: Article
Language:English
Published: AIMS Press 2020-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020410/fulltext.html
Description
Summary:In view of the particularity of cytomegalovirus infection in infants and considering the uncertainty of infection mode and treatment, a dynamic model of cytomegalovirus with random behavior is established in this paper. The existence and uniqueness of the solution of the model are proved. Sufficient conditions for the existence of asymptotic, ergodic and extinctive solutions are provided. By using numerical simulation, the influence of uncertainty in breast milk handling and treatment on the variation of cytomegalovirus (CMV) are analyzed, which provides theoretical support for the strategy of preventing infant infection and the basis treatment.
ISSN:2473-6988