Stochastic epidemic model for the dynamics of novel coronavirus transmission

Tahir Khan, Fathalla A. Rihan, Muhammad Bilal Riaz, Mohamed Altanji, Abdullah A. Zaagan, Hijaz Ahmad

Research output: Contribution to journalArticlepeer-review


Stochastic differential equation models are important and provide more valuable outputs to examine the dynamics of SARS-CoV-2 virus transmission than traditional models. SARS-CoV-2 virus transmission is a contagious respiratory disease that produces asymptomatically and symptomatically infected individuals who are susceptible to multiple infections. This work was purposed to introduce an epidemiological model to represent the temporal dynamics of SARS-CoV-2 virus transmission through the use of stochastic differential equations. First, we formulated the model and derived the well-posedness to show that the proposed epidemiological problem is biologically and mathematically feasible. We then calculated the stochastic reproductive parameters for the proposed stochastic epidemiological model and analyzed the model extinction and persistence. Using the stochastic reproductive parameters, we derived the condition for disease extinction and persistence. Applying these conditions, we have performed large-scale numerical simulations to visualize the asymptotic analysis of the model and show the effectiveness of the results derived.

Original languageEnglish
Pages (from-to)12433-12457
Number of pages25
JournalAIMS Mathematics
Issue number5
Publication statusPublished - 2024


  • Itô formula
  • Lyapunov function
  • Milstein’s higher order scheme
  • existence analysis
  • extinction
  • numerical simulations
  • persistence
  • stochastic differential equations

ASJC Scopus subject areas

  • General Mathematics


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