Analysis of SIR epidemic model with information spreading of awareness

K. M.Ariful Kabir, Kazuki Kuga, Jun Tanimoto

Research output: Contribution to journalArticlepeer-review

128 Citations (Scopus)


The information spreading of awareness can prompt the manners of human to ease the infectious possibility and assist to recover swiftly. A dynamic system of Susceptible-Infected-Recovered (SIR) with Unaware-Aware (UA) process (SIR-UA) is newly developed by using compartment model through analytical approach with assumption of an infinite and well-mixed population. Moreover, individuals in a population can be classified into six states as unaware susceptible(SU), aware susceptible(SA), unaware infected(IU), aware infected(IA), unaware recovered(RU), and aware recovered(RA). Compared with previous models, the new dynamic set of equations described the more widespread situation and incorporated all possible states of Unaware-Aware (UA) with SIR process. The effect of awareness is explored carefully to show the significance on epidemic model with time steps. Consequently, the properties of parameters on the epidemic awareness model are studied to deliberate different physical situations. Finally, full phase diagrams are explored to show the epidemic sizes of susceptible and recovered individuals for various parameters.

Original languageEnglish
Pages (from-to)118-125
Number of pages8
JournalChaos, solitons and fractals
Publication statusPublished - Feb 2019

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Applied Mathematics
  • Mathematics(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics


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