Hierarchical Epidemic Model on Structured Population: Diffusion Patterns and Control Policies

Research output: Contribution to journalArticlepeer-review


In the current study, we define a hierarchical epidemic model that helps to describe the propagation of a pathogen in a clustered human population. The estimation of a novel coronavirus spreading worldwide leads to the idea of the hierarchical structure of the epidemic process. Thus, the propagation process is divided into three possible levels: a city, a country, and a worldwide. On each level, the pathogen propagation process is based on the susceptible-exposed-infected-recovered (SEIR) model. We thus formulate a modified transmission model of infected individuals between levels. The control of the pathogen’s spread can be seen as an optimal control problem. A trade-off exists between the cost of active virus propagation and the design of appropriate quarantine measures. Each level of the hierarchy is defined by its network. A series of numerical experiments was conducted to corroborate the obtained results.

Original languageEnglish
Article number31
Number of pages21
Issue number2
StatePublished - Feb 2022

Scopus subject areas

  • Theoretical Computer Science
  • Applied Mathematics
  • Computer Science(all)
  • Modelling and Simulation


  • Compartment epidemic models
  • Epidemic process
  • Optimal control
  • SIR model
  • epidemic process
  • compartment epidemic models
  • optimal control


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