Analysis of age wise fractional order problems for the Covid-19 under non-singular kernel of Mittag-Leffler law

Fatima, Bibi; Rahman, Mati ur; Althobaiti, Saad; Althobaiti, Ali; Arfan, Muhammad

doi:10.1080/10255842.2023.2239976

Cited by 11 publications

(9 citation statements)

References 59 publications

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“…Several fractional studies of deterministic, stochastic and incommensurate models on COVID-19 illness were delved in the literature examining various fear factors, diagnosed, threatened, awareness of pathogen spread, vaccination schemes, vaccine hesitancy, vaccine inefficacy, treatment, isolation, exposure to the virulent environment, effective vaccination with self-precautions, vaccine breakthrough infections, symptomatic and asymptomatic carriers and mutant strains, and so on. [30][31][32][33][34][35][36][37][38][39][40][41][42] COVID-19-related coinfections were studied with other superinfections namely hepatitis-B, 43 Tuberculosis, 44 and diabetes mellitus. 45 Optimal control modeling analysis were very effective in epidemical studies implementing effective control measures for disease annihilation found in References 46-50.…”

Section: Background and Motivationmentioning

confidence: 99%

“…Motivated from the works of References 30,31 which explains the hesitation and threatening of virus, isolation effects, vaccination and environmental exposure, age factors, demographic changes, 32,33 • Susceptibles S(t) are people who move along in the contagious region, which is monotonically increases with heavy recruitments and decreases when breaking into different transmission compartments. Here, the model is being reduced by the inoculation process, infections at the vaccination rate v, contagion transference rate 𝛽, naturally immuned persons 𝜌 and natural deaths μ respectively as…”

Section: Covid-19 Coinfection Model Presentationmentioning

confidence: 99%

“…(2 + 1)‐dimensional Hirota–Satsuma–Ito equation, 25 and Wu–Zhang system mounted for earthquake aftereffects (dispersive gravitation of ocean waves) 26 and epidemiological behaviors of influenza, cholera and dengue in References 27–30. Fractional modeling of COVID‐19 pandemic with various approaches, control practices and fractional operators are found in References 30–42.…”

Section: Introductionmentioning

confidence: 99%

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Fractional commensurate model on COVID‐19 with microbial co‐infection: An optimal control analysis

Vijayalakshmi,

Roselyn Besi,

Akgül

2024

Optim Control Appl Methods

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Crossover behaviors have always existed in the history of infectious pandemics due to a few distinct, erratic spread outlines. This research aims to investigate the crossover behavior of the proposed SVICR commensurate fractional model for the COVID‐19 delta variant, considering microbial coinfections. A mathematical model in terms of Atangana–Baleanu Caputo (ABC) category fractional integrals takes into account the co‐infection of mucormycosis in immunocompromised COVID‐19 patients caused by microbial infections. ABC operators preserve the intact history of the happenings under contemplation through its nonsingular kernel. It is observed that the framed five‐compartmental SVICR model is positively bounded on R5, the solution space. Two equilibrium points representing the survival and annihilation of sickness respectively are contributed by the single population N(t), which is counted in five dependent compartments: The bilinear growth rate of new additional infections from the contagious infectives over time ‘t’ is viewed through the threshold metric Lyapunov's stability function examines the parametric influences over the virulent spread globally. The significant focus is to investigate the Mucormycosis cases in COVID‐19 patients with underlying diabetic complications. Diabetes mellitus is the major concern for several coinfections among COVID‐19 recoveries. Aiming to minimalize the critical states, an Lagrangian–Hamiltonian optimum control structure is also performed for the SVICR model by introducing control variables in effect to tri‐control probes of minimized contact rates, persuasive vaccinations, and glycemic control of post recovered diabetic patients. The hike in the Severity of the ailment due to fungal pathogens is studied through numerical convergence of predictor–corrector scheme and simulations. Using estimated parametric values from the statistical data of mucormycosis and infections of COVID‐19 reported cases in India, the prominence of control effects are visualized graphically. To conclude, a complete qualitative analysis of the minimization problem is executed for different levels of control values. We avow that effective control intrusions would almost certainly decline the complexities associated with the viral pathogens.

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Section: Background and Motivationmentioning

confidence: 99%

Section: Covid-19 Coinfection Model Presentationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fractional commensurate model on COVID‐19 with microbial co‐infection: An optimal control analysis

Vijayalakshmi,

Roselyn Besi,

Akgül

2024

Optim Control Appl Methods

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“…The impact of vaccination on the transmission dynamics of COVID-19 is explored in the given literature [20,21]. The impact of age-wise transmission dynamics of COVID-19 patterns has been studied in the given literature [22,23]. However, the mathematical model to examine the impact of various physiological parameters that disturb nerve cells and invite neurodegenerative conditions has been studied in the given literature [24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Mechanistic insights of COVID-19 dynamics by considering the influence of neurodegeneration and memory trace

Joshi

2024

Phys. Scr.

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COVID-19 has been declared a global pandemic as it disturbs education, society, agriculture, the economy, poverty, death rate, social development, mental psychology, and many more. Neurodegenerative disease is a brain disorder associated with several pathological factors along with mental psychology. This paper introduces a mathematical model to inspect mechanistic insights into COVID-19 dynamics by considering the influence of neurodegeneration and memory trace. The analysis of the proposed model and the existence and uniqueness of the model are derived using the ﬁxed-point criteria. A numerical experiment is presented to validate the theoretical results and examine the impact of various biological parameters, the influence of neurodegeneration, and memory trace on the transmission dynamics of COVID-19.

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“…Also, FDEs plays a significant role in mathematical modeling. The application of fractional calculus in biological models allows for a more accurate representation of system dynamics, particularly in situ ations including memory effects and non-local interactions [5][6][7], and [8]. In [9] the authors investigated the fractional tuberculosis model with the effect of an imperfect vaccine and exogenous factors under the MittagLeffler kernel and for more details refer [10,11], and [12].…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of fuzzy fractional volterra integro differential equations with boundary conditions

Agilan,

Parthiban

2024

Phys. Scr.

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In this study, the boundary value problem of fuzzy fractional nonlinear Volterra integro differential equations of order 1 < ρ ≤ 2 is addressed. Fuzzy fractional derivatives are defined in the Caputo sense. To show the existence result, the Krasnoselkii theorem from the theory of fixed points is used, where as the well-known contraction mapping concept is utilized in order to show the solution is unique to the proposed problem. Moreover, a novel Adomian decomposition method is utilized to get numerical solution; the approach behind deriving the solution is from Adomian polynomials, and it is organized according to the recursive relation that is obtained. The proposed method significantly decreases the numerical computations by obtaining solutions without the need of discretization or constrictive assumptions. According to the results, there is substantial agreement between the seriessolutions produced by the fuzzy Adomian decomposition method. Finally, using MATLAB, the symmetry between the lower and upper-cut representations of the fuzzy solutions is demonstrated in the numerical result.

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Analysis of age wise fractional order problems for the Covid-19 under non-singular kernel of Mittag-Leffler law

Cited by 11 publications

References 59 publications

Fractional commensurate model on COVID‐19 with microbial co‐infection: An optimal control analysis

Fractional commensurate model on COVID‐19 with microbial co‐infection: An optimal control analysis

Mechanistic insights of COVID-19 dynamics by considering the influence of neurodegeneration and memory trace

Numerical solution of fuzzy fractional volterra integro differential equations with boundary conditions

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