Global dynamics of a stochastic viral infection model with latently infected cells

Chinnathambi Rajivganthi, Fathalla A. Rihan

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this paper, we study the global dynamics of a stochastic viral infection model with humoral immunity and Holling type II response functions. The existence and uniqueness of nonnegative global solutions are derived. Stationary ergodic distribution of positive solutions is investigated. The solution fluctuates around the equilibrium of the deterministic case, resulting in the disease persisting stochastically. The extinction conditions are also determined. To verify the accuracy of the results, numerical simulations were carried out using the Euler–Maruyama scheme. White noise’s intensity plays a key role in treating viral infectious diseases. The small intensity of white noises can maintain the existence of a stationary distribution, while the large intensity of white noises is beneficial to the extinction of the virus.

Original languageEnglish
Article number10484
JournalApplied Sciences (Switzerland)
Issue number21
Publication statusPublished - Nov 1 2021


  • Extinction
  • Latently infectious
  • Random noise
  • Stationary distribution
  • Stochastic

ASJC Scopus subject areas

  • General Materials Science
  • Instrumentation
  • General Engineering
  • Process Chemistry and Technology
  • Computer Science Applications
  • Fluid Flow and Transfer Processes


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