The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS …

Y Sabbar, D Kiouach, SP Rajasekar… - Chaos, Solitons & …, 2022 - Elsevier
This study concentrates on the analysis of a stochastic SIC epidemic system with an
enhanced and general perturbation. Given the intricacy of some impulses caused by …

Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism

J Wang, H Jiang, T Ma, C Hu - Chaos, Solitons & Fractals, 2019 - Elsevier
The dynamical behaviors of the multi-lingual SIR rumor spreading model are investigated in
this paper. In view of the actual background, we consider the rumor spreading under the …

Global-stability problem for coupled systems of differential equations on networks

MY Li, Z Shuai - Journal of Differential Equations, 2010 - Elsevier
The global-stability problem of equilibria is investigated for coupled systems of differential
equations on networks. Using results from graph theory, we develop a systematic approach …

Global stability of infectious disease models using Lyapunov functions

Z Shuai, P van den Driessche - SIAM Journal on Applied Mathematics, 2013 - SIAM
Two systematic methods are presented to guide the construction of Lyapunov functions for
general infectious disease models and are thus applicable to establish their global …

A multi-group SEIRA model for the spread of COVID-19 among heterogeneous populations

S Contreras, HA Villavicencio, D Medina-Ortiz… - Chaos, Solitons & …, 2020 - Elsevier
The outbreak and propagation of COVID-19 have posed a considerable challenge to
modern society. In particular, the different restrictive actions taken by governments to prevent …

[HTML][HTML] Global stability of SAIRS epidemic models

S Ottaviano, M Sensi, S Sottile - Nonlinear Analysis: Real World …, 2022 - Elsevier
We study an SAIRS-type epidemic model with vaccination, where the role of asymptomatic
and symptomatic infectious individuals is explicitly considered in the transmission patterns of …

[HTML][HTML] Asymptotic behavior of global positive solution to a stochastic SIR model

D Jiang, J Yu, C Ji, N Shi - Mathematical and Computer Modelling, 2011 - Elsevier
Asymptotic behavior of global positive solution to a stochastic SIR model - ScienceDirect Skip to
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[HTML][HTML] Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment

H Kheiri, M Jafari - Journal of computational and applied mathematics, 2019 - Elsevier
Abstract A multi-patch HIV/AIDS epidemic model with fractional order derivative is
formulated to investigate the effect of human movement on the spread of HIV/AIDS epidemic …

Dynamical behaviors and optimal control of rumor propagation model with saturation incidence on heterogeneous networks

S Chen, H Jiang, L Li, J Li - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper is devoted to investigating a novel susceptible-exposed-infected-recovered
(SEIR) delayed rumor propagation model with saturation incidence on heterogeneous …

On the global stability of SIS, SIR and SIRS epidemic models with standard incidence

C Vargas-De-León - Chaos, Solitons & Fractals, 2011 - Elsevier
In this paper, we establish the global stability conditions of classic SIS, SIR and SIRS
epidemic models with constant recruitment, disease-induced death and standard incidence …