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 …
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 …
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 …
saturated incidence. When the noise is small, we obtain a threshold of the stochastic system …
A novel computer virus model and its dynamics
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 …
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
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 …
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 …
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
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 …
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 …
monotone incidence functions. Under biologically motivated assumptions, we show that the …
[PDF][PDF] Fractional order SEIR model with generalized incidence rate
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 …
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 …
rate and perturbation caused by nonlinear white noise and L ́ ee´ vy jumps. First of all, we …