Stability Analysis of an SIRS Epidemic Model with Information Intervention

LI Xiaoni; ZHANG Qimin

doi:10.6054/j.jscnun.2019090

Journal of South China Normal University (Natural Science Edition) > 2019 > 51(5): 98-103. > DOI: 10.6054/j.jscnun.2019090

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

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Stability Analysis of an SIRS Epidemic Model with Information Intervention

LI Xiaoni,
ZHANG Qimin^,

School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China

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Received Date: September 20, 2018
Available Online: March 08, 2021

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Abstract

Abstract

The asymptotic behavior of an SIRS epidemic model containing information intervention and vaccination has been studied. The results indicate that the basic reproduction number ℜ₀ is the threshold of disease persistence and extinction. If ℜ₀ < 1, the system has an disease-free equilibrium which is globally asymptotically stable, while if ℜ₀>1, there exists an epidemic equilibrium which is globally asymptotically stable. At last, some numerical exam-ples are given to illustrate the results.
- SIRS epidemic model,
- information intervention,
- globally asymptotically stable,
- threshold

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References (15)

References

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Stability Analysis of an SIRS Epidemic Model with Information Intervention