[HTML][HTML] Optimal vaccination and treatment of an epidemic network model

L Chen, J Sun - Physics Letters A, 2014 - Elsevier
In this Letter, we firstly propose an epidemic network model incorporating two controls which
are vaccination and treatment. For the constant controls, by using Lyapunov function, global …

Stability analysis of an SIS epidemic model with feedback mechanism on networks

J Zhang, J Sun - Physica A: Statistical Mechanics and its Applications, 2014 - Elsevier
In this paper, an epidemic model with feedback mechanism on networks is investigated. We
obtain the basic reproductive number R 0, and analyze the stability behaviors of disease …

Global stability and optimal control of an SIRS epidemic model on heterogeneous networks

L Chen, J Sun - Physica A: Statistical Mechanics and its Applications, 2014 - Elsevier
In this paper, we consider an SIRS epidemic model with vaccination on heterogeneous
networks. By constructing suitable Lyapunov functions, global stability of the disease-free …

The analysis of epidemic network model with infectious force in latent and infected period

J Zhang, Z Jin - Discrete Dynamics in Nature and Society, 2010 - Wiley Online Library
We discuss the epidemic network model with infectious force in latent and infected period.
We obtain the basic reproduction number and analyze the globally dynamic behaviors of the …

[HTML][HTML] Dynamics of an epidemic model with quarantine on scale-free networks

H Kang, K Liu, X Fu - Physics Letters A, 2017 - Elsevier
Quarantine strategies are frequently used to control or reduce the transmission risks of
epidemic diseases such as SARS, tuberculosis and cholera. In this paper, we formulate a …

Stability analysis and optimal control of an epidemic model with vaccination

S Sharma, GP Samanta - International Journal of Biomathematics, 2015 - World Scientific
In this paper, we have developed a compartment of epidemic model with vaccination. We
have divided the total population into five classes, namely susceptible, exposed, infective …

Global stability of a network-based SIRS epidemic model with nonmonotone incidence rate

L Liu, X Wei, N Zhang - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
This paper studies the dynamics of a network-based SIRS epidemic model with vaccination
and a nonmonotone incidence rate. This type of nonlinear incidence can be used to …

Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks

Y Xie, Z Wang, J Lu, Y Li - Applied Mathematics and Computation, 2020 - Elsevier
In this research, a new SIS (susceptible-infected-susceptible) epidemic model is proposed.
Unlike most other models, our model considers the infection rate of multiple edges …

Dynamics of discrete epidemic models on heterogeneous networks

X Wang, J Lu, Z Wang, Y Li - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
In this paper, one considers the discrete epidemic models on heterogeneous networks,
stability and bifurcation of the endemic equilibrium of SIS model is studied, the dynamics …

Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness

KZ Li, ZP Xu, GH Zhu, Y Ding - Chinese Physics B, 2014 - iopscience.iop.org
Recent research results indicate that individual awareness can play an important influence
on epidemic spreading in networks. By local stability analysis, a significant conclusion is that …