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

被引：12

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.

引用

页数：10

共 50 条

[1] Traveling waves in an SEIR epidemic model with a general nonlinear incidence rate
Wu, Xin
Tian, Baochuan
Yuan, Rong
[J]. APPLICABLE ANALYSIS, 2020, 99 (01) : 133 - 157
[2] Stability of an Age-structured SEIR Epidemic Model with Infectivity in Latent Period
Li, Xue-Zhi
Fang, Bin
[J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2009, 4 (01): : 218 - 236
[3] On the dynamics of an SEIR epidemic model with a convex incidence rate
Buonomo B.
Lacitignola D.
[J]. Ricerche di Matematica, 2008, 57 (2) : 261 - 281
[4] An SEIR Epidemic Model with Relapse and General Nonlinear Incidence Rate with Application to Media Impact
Wang, Lianwen
Zhang, Xingan
Liu, Zhijun
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018, 17 (02) : 309 - 329
[5] An SEIR Epidemic Model with Relapse and General Nonlinear Incidence Rate with Application to Media Impact
Lianwen Wang
Xingan Zhang
Zhijun Liu
[J]. Qualitative Theory of Dynamical Systems, 2018, 17 : 309 - 329
[6] Modeling the role of information and optimal control on an SEIR epidemic model with infectivity in latent period
Guo, Yuhong
Liu, Zhijun
Wang, Lianwen
Tan, Ronghua
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (02) : 1044 - 1064
[7] Threshold dynamics of an SEIR epidemic model with a nonlinear incidence rate and a discontinuous treatment function
Gao, Da-peng
Huang, Nan-jing
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 114 (01)
[8] Threshold dynamics of an SEIR epidemic model with a nonlinear incidence rate and a discontinuous treatment function
Da-peng Gao
Nan-jing Huang
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[9] Optimal Control for an SEIR Epidemic Model with Nonlinear Incidence Rate
Grigorieva, Ellina
Khailov, Evgenii
Korobeinikov, Andrei
[J]. STUDIES IN APPLIED MATHEMATICS, 2018, 141 (03) : 353 - 398
[10] Pulse vaccination on SEIR epidemic model with nonlinear incidence rate
Wang, Xia
Tao, Youde
Song, Xinyu
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (02) : 398 - 404

← 1 2 3 4 5 →