Atıf İçin Kopyala
ÇAY İ.
TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.4, ss.1668-1677, 2021 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
45
Sayı:
4
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Basım Tarihi:
2021
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Doi Numarası:
10.3906/mat-2103-116
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Dergi Adı:
TURKISH JOURNAL OF MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
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Sayfa Sayıları:
ss.1668-1677
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Anahtar Kelimeler:
SIRS (susceptible-infected-recovered-susceptible) epidemic model, global stability, Lyapunov function, Volterra-Lyapunov stability, DISEASE, MEDIA
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Kocaeli Üniversitesi Adresli:
Evet
Özet
In this study, we investigate an susceptible-infected-recovered-susceptible (SIRS) epidemic model with logistic growth and information intervention. Firstly, the basic reproduction number R0 is defined and the main results are given in terms of local stability. Then, sufficient conditions for the global stability of endemic equilibrium are obtained. Finally, some numerical simulations are given to validate our theoretical conclusions.