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LI Xiaoni, ZHANG Qimin. Stability Analysis of an SIRS Epidemic Model with Information Intervention[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(5): 98-103. DOI: 10.6054/j.jscnun.2019090
Citation: LI Xiaoni, ZHANG Qimin. Stability Analysis of an SIRS Epidemic Model with Information Intervention[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(5): 98-103. DOI: 10.6054/j.jscnun.2019090

Stability Analysis of an SIRS Epidemic Model with Information Intervention

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  • Received Date: September 20, 2018
  • Available Online: March 08, 2021
  • The asymptotic behavior of an SIRS epidemic model containing information intervention and vaccination has been studied. The results indicate that the basic reproduction number 0 is the threshold of disease persistence and extinction. If 0 < 1, the system has an disease-free equilibrium which is globally asymptotically stable, while if 0>1, there exists an epidemic equilibrium which is globally asymptotically stable. At last, some numerical exam-ples are given to illustrate the results.
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