[HTML][HTML] Optimal control design incorporating vaccination and treatment on six compartment pandemic dynamical system

RP Kumar, S Basu, PK Santra, D Ghosh… - Results in Control and …, 2022 - Elsevier
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 …

Optimal control strategies on HIV/AIDS and pneumonia co-infection with mathematical modelling approach

SW Teklu, BB Terefe, DK Mamo… - Journal of Biological …, 2024 - Taylor & Francis
In this paper, a compartmental model on the co-infection of pneumonia and HIV/AIDS with
optimal control strategies was formulated using the system of ordinary differential equations …

[HTML][HTML] Global stability for an HIV/AIDS epidemic model with different latent stages and treatment

HF Huo, LX Feng - Applied Mathematical Modelling, 2013 - Elsevier
An HIV/AIDS epidemic model with different latent stages and treatment is constructed. The
model allows for the latent individuals to have the slow and fast latent compartments …

Stabilization of nonlinear time-delay systems: Distributed-delay dependent impulsive control

X Liu, K Zhang - Systems & Control Letters, 2018 - Elsevier
This technical note studies impulsive stabilization of general nonlinear systems with time-
delay. Distributed time-delay is considered in the proposed nonlinear impulsive controller …

Optimizing HIV/AIDS dynamics: stochastic control strategies with education and treatment

A Din, Y Li - The European Physical Journal Plus, 2024 - Springer
Human immunodeficiency virus (HIV) is a viral infection that infects CD4+ lymphocyte cells,
and as a result, the body's immune system is destroyed and unable to fight against the …

[PDF][PDF] Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19

H Lu, Y Ding, S Gong, S Wang - Math. Biosci. Eng, 2021 - aimspress.com
On the basis of the SIQR epidemic model, we consider the impact of treatment time on the
epidemic situation, and we present a differential equation model with time-delay according …

[图书][B] Impulsive systems on hybrid time domains

X Liu, K Zhang - 2019 - Springer
Impulsive systems have attracted an increased interest of numerous researchers around the
globe due to their important applications in many areas. Some typical physical systems …

Modelling and optimal control of HIV/AIDS prevention through PrEP and limited treatment

S Saha, GP Samanta - Physica A: Statistical Mechanics and its Applications, 2019 - Elsevier
Epidemic outbreak is one of the primary issue that induce behavioural changes in healthy
individuals to avoid contracting infection. We here propose a compartmental model for the …

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 …

Mathematical modeling in perspective of vector-borne viral infections: a review

R Prasad, SK Sagar, S Parveen, R Dohare - Beni-Suef University Journal …, 2022 - Springer
Background Viral diseases are highly widespread infections caused by viruses. These
viruses are passing from one human to other humans through a certain medium. The …