[HTML][HTML] Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis

X Meng, S Zhao, T Feng, T Zhang - Journal of Mathematical Analysis and …, 2016 - Elsevier
In this paper, we propose new mathematical models with nonlinear incidence rate and
double epidemic hypothesis. Then we dedicate to develop a method to obtain the threshold …

[HTML][HTML] Hopf bifurcation analysis of a delayed viral infection model in computer networks

L Feng, X Liao, H Li, Q Han - Mathematical and Computer Modelling, 2012 - Elsevier
In this paper, a novel computer virus propagation model with dual delays and multi-state
antivirus measures is considered. Using theories of stability and bifurcation, it is proven that …

Optimal control of an SIQRS epidemic model with three measures on networks

L Zhang, M Liu, B Xie - Nonlinear Dynamics, 2021 - Springer
At present, the main measures for disease control are vaccination, quarantine and treatment.
Taking the three measures into consideration, time-varying optimal control problems of an …

[HTML][HTML] Modeling of COVID-19 with limited public health resources: a comparative study of three most affected countries

AK Srivastav, M Ghosh, SR Bandekar - The European Physical Journal …, 2021 - Springer
COVID-19 has become a deadly pandemic in the recent times claiming millions of lives
worldwide in a grievous manner. Most of the countries in the world have limited number of …

Assessing the impact of treatment on the dynamics of dengue fever: A case study of India

AK Srivastav, M Ghosh - Applied Mathematics and Computation, 2019 - Elsevier
Dengue is one of the most widely spread mosquito-borne viral diseases which is transmitted
by mosquitoes of Aedes species. It is endemic in all states and union territories (UTs) of …

Periodic solution and ergodic stationary distribution of stochastic SIRI epidemic systems with nonlinear perturbations

W Zhang, X Meng, Y Dong - Journal of Systems Science and Complexity, 2019 - Springer
This paper formulates two stochastic nonautonomous SIRI epidemic systems with nonlinear
perturbations. The main aim of this study is to investigate stochastic dynamics of the two SIRI …

Bifurcation analysis of an SIS epidemic model with saturated incidence rate and saturated treatment function

T Zhou, W Zhang, Q Lu - Applied Mathematics and Computation, 2014 - Elsevier
This paper introduces a saturated treatment function into an SIS model with saturated
incidence rate. The treatment function is a continuous and differential function which …

Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence

Q Liu, D Jiang - Chaos: An Interdisciplinary Journal of Nonlinear …, 2017 - pubs.aip.org
In this paper, a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with
double diseases and the Beddington-DeAngelis incidence is proposed and studied …

[HTML][HTML] Quantitative analysis of social influence and digital piracy contagion with differential equations on networks

D Mallick, K Gaurav, S Bhattacharya, S Ghosh - Scientific Reports, 2024 - nature.com
Illegal file sharing of copyrighted contents through popular file sharing networks poses an
enormous threat to providers of digital contents, such as, games, softwares, music and …

Modeling the transmission dynamics of malaria with saturated treatment: a case study of India

AK Srivastav, M Ghosh - Journal of Applied Mathematics and Computing, 2021 - Springer
Malaria is a life-threatening mosquito-borne disease. It is transmitted through the bite of an
infected Anopheles mosquito. Malaria may be fatal if not treated promptly. Malaria is a major …