Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
A Lahrouz, L Omari - Statistics & Probability Letters, 2013 - Elsevier
The present paper studies a stochastic SIRS epidemic model with general incidence rate in
a population of varying size. Sufficient conditions for the extinction and the existence of a …
a population of varying size. Sufficient conditions for the extinction and the existence of a …
Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence
rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account …
rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account …
Analytical modeling of the temporal evolution of epidemics outbreaks accounting for vaccinations
R Schlickeiser, M Kröger - Physics, 2021 - mdpi.com
With the vaccination against Covid-19 now available, how vaccination campaigns influence
the mathematical modeling of epidemics is quantitatively explored. In this paper, the …
the mathematical modeling of epidemics is quantitatively explored. In this paper, the …
[HTML][HTML] Optimal control design incorporating vaccination and treatment on six compartment pandemic dynamical system
In this paper, a mathematical model of the COVID-19 pandemic with lockdown that provides
a more accurate representation of the infection rate has been analyzed. In this model, the …
a more accurate representation of the infection rate has been analyzed. In this model, the …
Spatial dynamics of an epidemic model with nonlocal infection
Nonlocal infection plays an important role in epidemic spread, which can reflect the real
rules of infectious disease. To understand its mechanism on disease transmission, we …
rules of infectious disease. To understand its mechanism on disease transmission, we …
Modeling and quantifying the influence of rumor and counter-rumor on information propagation dynamics
F Yin, X Jiang, X Qian, X Xia, Y Pan, J Wu - Chaos, Solitons & Fractals, 2022 - Elsevier
Today, the spread of Internet rumors has become increasingly easier, however, once they
spread widely, the network environment and even the social order will be broken down …
spread widely, the network environment and even the social order will be broken down …
Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps
Q Liu, D Jiang, T Hayat, B Ahmad - Nonlinear Analysis: Hybrid Systems, 2018 - Elsevier
In this paper, we discuss the persistence and extinction of a delayed vaccinated SIR
epidemic model with temporary immunity and Lévy jumps. Firstly, we study the existence …
epidemic model with temporary immunity and Lévy jumps. Firstly, we study the existence …
Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis
RT Alqahtani - Advances in Difference Equations, 2021 - Springer
In this paper, we study and analyze the susceptible-infectious-removed (SIR) dynamics
considering the effect of health system. We consider a general incidence rate function and …
considering the effect of health system. We consider a general incidence rate function and …
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 …
Analysis of fractional COVID‐19 epidemic model under Caputo operator
The article deals with the analysis of the fractional COVID‐19 epidemic model (FCEM) with a
convex incidence rate. Keeping in view the fading memory and crossover behavior found in …
convex incidence rate. Keeping in view the fading memory and crossover behavior found in …