Cytomegalovirus dynamics model with random behavior

Dong-Mei Li; Bing Chai; Yu-Li Fu; Qi Wang; Dong-Mei Li; Bing Chai; Yu-Li Fu; Qi Wang

doi:10.3934/math.2020410

AIMS Mathematics

2020, Volume 5, Issue 6: 6373-6394. doi: 10.3934/math.2020410

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Research article Special Issues

Cytomegalovirus dynamics model with random behavior

1.
College of science, Harbin University of Science and Technology, 52 xuefu road, Harbin 150080, China
2.
Heilongjiang Hospital, Harbin 150036, China

Received: 13 May 2020 Accepted: 13 July 2020 Published: 10 August 2020
MSC : 60H10, 92B05, 92D30

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.
- cytomegalovirus,
- asymptotic,
- ergodicity,
- extinction,
- numerical simulation
Citation: Dong-Mei Li, Bing Chai, Yu-Li Fu, Qi Wang. Cytomegalovirus dynamics model with random behavior[J]. AIMS Mathematics, 2020, 5(6): 6373-6394. doi: 10.3934/math.2020410

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Abstract

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.

References

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