Cytomegalovirus dynamics model with random behavior

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.

Keywords

• cytomegalovirus
• asymptotic
• ergodicity
• extinction
• numerical simulation