| Autor: |
Hikal, M. M., Atteya, T. E. M., Hemeda, Hamed M., Zahra, W. K. |
| Zdroj: |
Ricerche di Matematica; Apr2024, Vol. 73 Issue 2, p1085-1119, 35p |
| Abstrakt: |
SEIRS epidemic model with Caputo–Fabrizio fractional derivative, a general incidence rate, and the time delay is considered. The main target of this work is to analyze the stability behavior and develop a numerical simulation of the fractional SEIRS model. The reproduction number R 0 and the order of the fractional derivative β play an important role in controlling the stability of the equilibrium points of the model, where it was shown that the disease-free equilibrium point P 0 is asymptotically stable if R 0 < 1 and unstable for R 0 > 1 . The proper choice of the system parameters alongside the order of differentiation guarantee that the epidemic equilibrium point P 1 is asymptotically stable. The presence of a time delay in treatment and its effect on the stability behavior of the model is considered. Also, bifurcation analysis of the model depending on the time delay, β and the treatment rate is discussed. Numerical simulations based on a three-step Adams–Bashforth predictor technique for supporting and validating the theoretical results have been illustrated. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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