Fractional Derivative Operator on Quarantine and Isolation Principle for COVID-19

Shikongo, Albert; Nuugulu, Samuel Megameno; Elago, David; Salom, Andreas T.; Owolabi, Kolade M.

doi:10.1201/9781003097938-9

Cited by 7 publications

(6 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Microbiological isolates were considered within 14 days following the administration of tocilizumab [13]. Antibiotic prophylaxis was considered in patients who had received a prescribed antibiotic before or following tocilizumab infusion with the aim of using prophylaxis to prevent a further bacterial superinfection.…”

Section: Methodsmentioning

confidence: 99%

The Impact of Antibiotic Prophylaxis on a Retrospective Cohort of Hospitalized Patients with COVID-19 Treated with a Combination of Steroids and Tocilizumab

Membrillo de Novales,

Ramírez-Olivencia,

Mata Forte

et al. 2023

Antibiotics

View full text Add to dashboard Cite

Objectives: In the context of COVID-19, patients with a severe or critical illness may be more susceptible to developing secondary bacterial infections. This study aims to investigate the relationship between the use of prophylactic antibiotic therapy and the occurrence of bacterial or fungal isolates following the administration of tocilizumab in hospitalized COVID-19 patients who had previously received steroids during the first and second waves of the pandemic in Spain. Methods: This retrospective observational study included 70 patients hospitalized with COVID-19 who received tocilizumab and steroids between January and December 2020. Data on demographics, comorbidities, laboratory tests, microbiologic results, treatment, and outcomes were collected from electronic health records. The patients were divided into two groups based on the use of antibiotic prophylaxis, and the incidence of bacterial and fungal colonizations/infections was analyzed. Results: Among the included patients, 45 patients received antibiotic prophylaxis. No significant clinical differences were observed between the patients based on prophylaxis use regarding the number of clinically diagnosed infections, ICU admissions, or mortality rates. However, the patients who received antibiotic prophylaxis showed a higher incidence of colonization by multidrug-resistant bacteria compared to that of the subgroup that did not receive prophylaxis. The most commonly isolated microorganisms were Candida albicans, Enterococcus faecalis, Staphylococcus aureus, and Staphylococcus epidermidis. Conclusions: In this cohort of hospitalized COVID-19 patients treated with tocilizumab and steroids, the use of antibiotic prophylaxis did not reduce the incidence of secondary bacterial infections. However, it was associated with an increased incidence of colonization by multidrug-resistant bacteria.

show abstract

Section: Methodsmentioning

confidence: 99%

The Impact of Antibiotic Prophylaxis on a Retrospective Cohort of Hospitalized Patients with COVID-19 Treated with a Combination of Steroids and Tocilizumab

Membrillo de Novales,

Ramírez-Olivencia,

Mata Forte

et al. 2023

Antibiotics

View full text Add to dashboard Cite

show abstract

“…Using the relation between the Riesz-Caputo derivative and both the right and left Caputo fractional derivatives in (12), then the approximated numerical solution of (42) driven by Riesz-Caputo operator will be:…”

Section: Numerical Solution Proceduresmentioning

confidence: 99%

“…This is due to the reduction in formulation employing integer-order derivatives. Furthermore, they have the advantage of strong adaptability in modeling and pointing out the characteristics of several dynamical processes [5][6][7][8][9][10][11][12][13][14][15]. For example, the Fisher equations are transformed into a fractional order form and then solved numerically using the collocation method in [6], while an expression for a fractional time delay model with a variable order is examined in [7].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Investigation of Egyptian Banks’ Competition through a Riesz–Caputo Fractional Model

2023

View full text Add to dashboard Cite

In this paper, a four-dimensional competition model, driven by the Riesz-Caputo operator, is established. Then, the presented model’s uniqueness, existence, and stability are discussed. After that, the model is applied to describe the profit competition between Egyptian banks. Using the Hamiltonian definition of optimal control, we set a control strategy for banks’ profits during crises as a pre-step measure to counteract their negative impact. Finally, the model is solved numerically using an extended Adams–Bashford scheme. The valid data between the end of 2016 and 2020 are used for numerical simulations, while the data between the end of 2021 and 2022 are used for prediction measurements. From the results, it can be seen that the COVID-19 crisis resulted in a sudden decrease in banks’ profits during 2020, and if there were a control system enabled, it could have compensated for this decrease.

show abstract

“…Umer et al [15,16] studied the numerical performances using the swarming as well as heuristic schemes to present the solutions of the coronavirus system. Shikongo et al [17] presented the fractional-order operator using the principle of quarantine and isolation based on the coronavirus.…”

Section: Introductionmentioning

confidence: 99%

Swarming Computational Procedures for the Coronavirus‐Based Mathematical SEIR‐NDC Model

Suantai

Sabir

Raja

et al. 2022

Journal of Mathematics

View full text Add to dashboard Cite

The motive of the current work is related to solving the coronavirus-based mathematical system of susceptible (S), exposed (E), infected (I), recovered (R), overall population (N), civic observation (D), and cumulative performance (C), called as SEIR-NDC. The numerical solutions of the SEIR-NDC model are presented by using the computational framework of artificial neural networks (ANNs) together with the swarming optimization procedures aided with the sequential quadratic programming. The swarming procedure based on the particle swarm optimization (PSO) works as a global search, while the sequential quadratic programming (SQP) is used as a local search algorithm. A merit function is constructed by using the nonlinear dynamics of the SEIR-NDC mathematical system based on its 7 classes, and the optimization of the merit function is performed through the PSOSQP. The numerical expressions of system are accessible with the ANNs using the PSOSQP optimization with 30 variables. The correctness of the stochastic computing scheme performances is verified by using the comparison of the obtained performances of the mathematical SEIR-NDC system and the reference Runge–Kutta scheme. Furthermore, the graphical illustrations of the performance indices, absolute error, and convergence curves are derived to validate the robustness of the proposed ANN-PSOSQP approach for the mathematical SEIR-NDC system.

show abstract

Fractional Derivative Operator on Quarantine and Isolation Principle for COVID-19

Cited by 7 publications

References 0 publications

The Impact of Antibiotic Prophylaxis on a Retrospective Cohort of Hospitalized Patients with COVID-19 Treated with a Combination of Steroids and Tocilizumab

The Impact of Antibiotic Prophylaxis on a Retrospective Cohort of Hospitalized Patients with COVID-19 Treated with a Combination of Steroids and Tocilizumab

Investigation of Egyptian Banks’ Competition through a Riesz–Caputo Fractional Model

Swarming Computational Procedures for the Coronavirus‐Based Mathematical SEIR‐NDC Model

Contact Info

Product

Resources

About