Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate

被引：14
|
作者：
Naim, Mouhcine [1 ]
Lahmidi, Fouad [1 ]
Namir, Abdelwahed [2 ]
Kouidere, Abdelfatah [1 ]
机构：
[1] Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco
[2] Hassan II Univ, Fac Sci Ben Msik, Lab Informat Technol & Modeling LITM, POB 7955 Sidi Othman, Casablanca, Morocco
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 152卷 / 152期
关键词：
Fractional SEIR epidemic model; Latent period; Local stability; Global stability; GLOBAL-STABILITY; DIFFERENTIAL-EQUATIONS; BACKWARD BIFURCATION; DISEASE; SIR;
D O I：
10.1016/j.chaos.2021.111456
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider an fractional SEIR epidemic model with infectious force in the latent period and general nonlinear incidence rate of the form f(S, I)I + g(S, E)E. The global existence, nonnegativity and boundedness of solutions in this system are proved. The basic reproduction number is obtained. We show that the model exhibits two equilibriums: the disease-free and endemic equilibrium. The local stability of each equilibrium are discussed. By means of Lyapunov functionals and LaSalle's invariance principle, we proved the global asymptotic stability of the equilibria. An application is given and numerical simulation results have been incorporated to support the theoretical results of this work. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：10
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