Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic

O Khyar, K Allali - Nonlinear dynamics, 2020 - Springer
This paper investigates the global stability analysis of two-strain epidemic model with two
general incidence rates. The problem is modelled by a system of six nonlinear ordinary …

Dynamics of a time-delayed two-strain epidemic model with general incidence rates

S Amine, K Allali - Chaos, Solitons & Fractals, 2021 - Elsevier
Two-strain time-delayed epidemic model with general incidence rates is suggested and
studied in this paper. The model consists of four compartments that describe the interaction …

[HTML][HTML] The threshold of a stochastic SIRS epidemic model with saturated incidence

Y Zhao, D Jiang - Applied Mathematics Letters, 2014 - Elsevier
In this paper, we investigate the dynamics of a stochastic SIRS epidemic model with
saturated incidence. When the noise is small, we obtain a threshold of the stochastic system …

A novel computer virus model and its dynamics

J Ren, X Yang, Q Zhu, LX Yang, C Zhang - Nonlinear Analysis: Real World …, 2012 - Elsevier
In this paper, we propose a novel computer virus propagation model and study its dynamic
behaviors; to our knowledge, this is the first time the effect of anti-virus ability has been taken …

Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment

J Li, Z Teng, G Wang, L Zhang, C Hu - Chaos, Solitons & Fractals, 2017 - Elsevier
In this paper, we introduce the saturated treatment and logistic growth rate into an SIR
epidemic model with bilinear incidence. The treatment function is assumed to be a …

Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence

Q Liu, Q Chen - Physica A: Statistical Mechanics and its Applications, 2015 - Elsevier
In this paper, the deterministic and stochastic SIRS epidemic models with nonlinear
incidence are introduced and investigated. For deterministic system, the basic reproductive …

Global dynamics and control strategies of an epidemic model having logistic growth, non-monotone incidence with the impact of limited hospital beds

P Saha, U Ghosh - Nonlinear Dynamics, 2021 - Springer
In this paper, we have considered a deterministic epidemic model with logistic growth rate of
the susceptible population, non-monotone incidence rate, nonlinear treatment function with …

Lyapunov function and global stability for a two-strain SEIR model with bilinear and non-monotone incidence

D Bentaleb, S Amine - International Journal of Biomathematics, 2019 - World Scientific
In this paper, we study a multi-strain SEIR epidemic model with both bilinear and non-
monotone incidence functions. Under biologically motivated assumptions, we show that the …

[PDF][PDF] Fractional order SEIR model with generalized incidence rate

MA Khan, S Ullah, S Ullah, M Farhan - Aims Math, 2020 - aimspress.com
The incidence rate function describes the mechanism of a disease transmission and has a
key role in mathematical epidemiology. In the present paper, we develop a fractional SEIR …

Asymptotic behavior of a stochastic SIR model with general incidence rate and nonlinear Lévy jumps

Q Yang, X Zhang, D Jiang - Nonlinear Dynamics, 2022 - Springer
In this paper, we consider a stochastic SIR epidemic model with general disease incidence
rate and perturbation caused by nonlinear white noise and L ́ ee´ vy jumps. First of all, we …