Co-dynamics of COVID-19 and TB with COVID-19 vaccination and exogenous reinfection for TB: An optimal control application

Kifle, Zenebe Shiferaw; Obsu, Legesse Lemecha

doi:10.1016/j.idm.2023.05.005

Cited by 4 publications

(2 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, there are a lot of studies about control measures. Vaccination [21,22] and testing [23,24] are pharmaceutical interventions. In the absence of effective vaccines and treatment, non-pharmaceutical intervention measures are essential [25].…”

Section: Introductionmentioning

confidence: 99%

Optimal Control for an Epidemic Model of COVID-19 with Time-Varying Parameters

2024

Mathematics

View full text Add to dashboard Cite

The coronavirus disease 2019 (COVID-19) pandemic disrupted public health and economies worldwide. In this paper, we investigate an optimal control problem to simultaneously minimize the epidemic size and control costs associated with intervention strategies based on official data. Considering people with undetected infections, we establish a control system of COVID-19 with time-varying parameters. To estimate these parameters, a parameter identification scheme is adopted and a mixed algorithm is constructed. Moreover, we present an optimal control problem with two objectives that involve the newly increased number of infected individuals and the control costs. A numerical scheme is conducted, simulating the epidemic data pertaining to Shanghai during the period of 2022, caused by the Omicron variant. Coefficient combinations of the objectives are obtained, and the optimal control measures for different infection peaks are indicated. The numerical results suggest that the identification variables obtained by using the constructed mixed algorithm to solve the parameter identification problem are feasible. Optimal control measures for different epidemic peaks can serve as references for decision-makers.

show abstract

Section: Introductionmentioning

confidence: 99%

Optimal Control for an Epidemic Model of COVID-19 with Time-Varying Parameters

2024

Mathematics

View full text Add to dashboard Cite

show abstract

“…Matrajt et al determined the optimal vaccine allocation for deaths, symptomatic infections, and maximum non-ICU and ICU hospitalizations [23]. Kifle et al proposed the optimal time-dependent vaccination strategies of COVID-19 [16].…”

mentioning

confidence: 99%

An optimal control model with contact restrictions applied to COVID-19 pandemic

Lv,

2024

JIMO

View full text Add to dashboard Cite

The coronavirus disease 2019 (COVID-19) pandemic has had great influence on global health, societies and, economies. In this paper, we propose an optimal control model with contact restrictions, aiming to adopt minimization of infections and economic losses simultaneously. Taking a social contact restriction as the control variable, we establish a control system of COVID-19 with nucleic acid testing and contacts tracking. A bi-objective optimal control problem is proposed, in which the accumulated number of infected individuals and economic losses are involved. Numerical simulations for different weight combinations of objectives are carried out using official epidemic data in Shanghai. From the numerical results, we conclude that effects of the control constriction policies decrease with weight of economic losses increasing; there is a trade-off between the epidemic size and the economic loss, and thus decision-makers may choose the appropriate schemes to implement. Therefore, this work may contribute to analyzing contact restriction strategies to balance epidemic size and economic losses.

show abstract

Exploring Fractional Dynamical Probes in the Context of Gender-Structured Hiv–tb Coinfection: A Study of Control Strategies

DEVI,

PAL,

TIWARI

2024

J. Biol. Syst.

View full text Add to dashboard Cite

The primary objective of this paper is to conduct an in-depth analysis of the intricacies inherent in a gender-structured model depicting the dynamics of HIV–TB coinfection. The model is articulated through a set of nonlinear fractional-order differential equations. Our focus is on elucidating the stability characteristics around equilibrium points, employing advanced fractional stability techniques. We leverage sensitivity analysis as a powerful tool to discern the specific model parameters exerting significant influence on the transmission and control of the coinfection, as gauged by the basic reproduction number. Through this, we aim to identify key factors that drive the spread or containment of the dual affliction. Furthermore, we delve into the realm of optimization by formulating a fractional optimal control problem. The objective is to design and implement two control strategies that effectively mitigate the prevalence of coinfection, demonstrating a state of perfect protection. Notably, our findings reveal that the implementation of control measures at a rate exceeding 80% suffices to eliminate the infection entirely. We anticipate that the insights garnered from this research will prove instrumental for policymakers in crafting strategic interventions to curtail the tragic impact of HIV–TB coinfection. Our scientifically grounded study serves as a foundation upon which comprehensive plans can be devised to stem the devastating consequences of this dual health challenge.

show abstract

Co-dynamics of COVID-19 and TB with COVID-19 vaccination and exogenous reinfection for TB: An optimal control application

Cited by 4 publications

References 44 publications

Optimal Control for an Epidemic Model of COVID-19 with Time-Varying Parameters

Optimal Control for an Epidemic Model of COVID-19 with Time-Varying Parameters

An optimal control model with contact restrictions applied to COVID-19 pandemic

Exploring Fractional Dynamical Probes in the Context of Gender-Structured Hiv–tb Coinfection: A Study of Control Strategies

Contact Info

Product

Resources

About