A new fuzzy fractional order model of transmission of Covid-19 with quarantine class

Hanif, Asma; Butt, Azhar Iqbal Kashif; Ahmad, Shabir; Din, Rahim Ud; Inc, Mustafa

doi:10.1140/epjp/s13360-021-02178-1

Cited by 20 publications

(19 citation statements)

References 24 publications

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“…These particles are capable of amalgamating with existing emission particles, thereby spreading among communities. Thus, economic dependency, social insecurity, enormous petrodollar reserve, and effluents damaging the environment have led to various studies being carried out in nonconventional oil-based resources, which have been established as suitable and efficient alternatives for fossil oils in engines …”

Section: Introductionmentioning

confidence: 99%

“…Thus, economic dependency, social insecurity, enormous petrodollar reserve, and effluents damaging the environment have led to various studies being carried out in nonconventional oil-based resources, which have been established as suitable and efficient alternatives for fossil oils in engines. 6 In view of the above predicaments, investigators were inspired to find a feasible, justifiable alternative to petro-diesel, which could completely or moderately replace them. Among the several options of nonconventional resources, biofuels have found wide acceptance probably due to their similarities to diesel fuel with respect to physiochemical properties.…”

Section: Introductionmentioning

confidence: 99%

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Comparative Study of Soft Computing and Metaheuristic Models in Developing Reduced Exhaust Emission Characteristics for Diesel Engine Fueled with Various Blends of Biodiesel and Metallic Nanoadditive Mixtures: An ANFIS–GA–HSA Approach

Khan

Alam³

et al. 2023

ACS Omega

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Since the discovery of petrol-based products, a surge in energy-requiring equipment has been established across the world. Recent depletion of the existing crude oil resources has motivated researchers to opt for and analyze potential fuels that could potentially provide a cost-effective and sustainable solution. The current study selects a waste plant known as Eichhornia crassipes through which biodiesel is generated, and its blends are tested in diesel engines for feasibility. Different models using soft computing and metaheuristic techniques are employed for the accurate prediction of performance and exhaust characteristics. The blends are further mixed with nanoadditives, thereby exploring and comparing the changes in performance characteristics. The input attributes considered in the study comprise engine load, blend percentage, nanoparticle concentration, and injection pressure, while the outcomes are brake thermal efficiency, brake specific energy consumption, carbon monoxide, unburnt hydrocarbon, and oxides of nitrogen. Models were further ranked and chosen based on their set of attributes using the ranking technique. The ranking criteria for models were based on cost, accuracy, and skill requirement. The ANFIS harmony search algorithm (HSA) reported a lower error rate, while the ANFIS model reported the lowest cost. The optimal combination achieved was 20.80 kW, 2.48047, 150.501 ppm, 4.05025 ppm, and 0.018326% for brake thermal efficiency (BTE), brake specific energy consumption (BSEC), oxides of nitrogen (NOx), unburnt hydrocarbons (UBHC), and carbon monoxide (CO), respectively, thereby furnishing better results than the adaptive neuro-fuzzy interface system (ANFIS) and the ANFIS−genetic algorithm model. Henceforth, integrating the results of ANFIS with an optimization technique with the harmony search algorithm (HSA) yields accurate results but at a comparatively higher cost.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Comparative Study of Soft Computing and Metaheuristic Models in Developing Reduced Exhaust Emission Characteristics for Diesel Engine Fueled with Various Blends of Biodiesel and Metallic Nanoadditive Mixtures: An ANFIS–GA–HSA Approach

Khan

Alam³

et al. 2023

ACS Omega

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“…In the field of mathematical modeling and optimal control design, researchers are continuously trying to develop different mathematical models of Covid‐19 according to physical situations or requirements and are presenting a variety of control strategies for disease control. 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 In this study, we design a new Covid‐19 model termed as SEIAPHR where the infectious humans are placed in three compartments such as symptomatic infected

, asymptomatic

, and super‐spreaders

. The division of infectious individuals in three compartments makes the model more realistic for the sake of analysis and control of disease.…”

Section: Introductionmentioning

confidence: 99%

“…The mortality caused by Covid-19 rates differently in different countries depending on the environment and food situation of the countries. [1][2][3][4][5][6][7][8][9][10][11][12] The mortality rate also relies upon the ratio of young and old people. The people over the age of 60 and having diseases like diabetes, cancer, cardiac, obesity, blood pressure, and lungs issues are at high risk of getting a severe infection that may end up with death.…”

Section: Introductionmentioning

confidence: 99%

Optimal control strategies for the reliable and competitive mathematical analysis of Covid‐19 pandemic model

Butt

Imran

Chamaleen

et al. 2022

Math Methods in App Sciences

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To understand dynamics of the COVID‐19 disease realistically, a new SEIAPHR model has been proposed in this article where the infectious individuals have been categorized as symptomatic, asymptomatic, and super‐spreaders. The model has been investigated for existence of a unique solution. To measure the contagiousness of COVID‐19, reproduction number is also computed using next generation matrix method. It is shown that the model is locally stable at disease‐free equilibrium point when and unstable for . The model has been analyzed for global stability at both of the disease‐free and endemic equilibrium points. Sensitivity analysis is also included to examine the effect of parameters of the model on reproduction number . A couple of optimal control problems have been designed to study the effect of control strategies for disease control and eradication from the society. Numerical results show that the adopted control approaches are much effective in reducing new infections.

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“…To solve such problems, they utilized different techniques [24,25]. Recently, fuzzy DEs have been utilized to analyze various models that occur in biology and physics [15,26,27]. As in the classical model, the coefficients are constant; therefore, we extend the model given in (2) to fuzzy fractional-order operator with uncertain initial data.…”

Section: Introductionmentioning

confidence: 99%

Study of a Fractional System of Predator-Prey with Uncertain Initial Conditions

Ahmad

Ullah

Akgül

2022

Mathematical Problems in Engineering

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In this manuscript, we study a nonlinear fractional-order predator-prey system while considering uncertainty in initial values. We derive the feasibility region and the boundness of the solution. The suggested model’s equilibrium points and the basic reproduction number are calculated. The stability of equilibrium points is presented. We use the metric fixed point theory to study the existence and uniqueness results concerning the solution of the model. We use the notion of UH-stability to show that the model is Ulam–Hyres type stable. To attain the approximate solution of the proposed model, we construct a method that uses the fuzzy Laplace transform in collaboration with the ADM (Adomian decomposition method). Finally, we simulate our theoretical results using MATLAB to show the dynamics of the considered model.

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A new fuzzy fractional order model of transmission of Covid-19 with quarantine class

Cited by 20 publications

References 24 publications

Comparative Study of Soft Computing and Metaheuristic Models in Developing Reduced Exhaust Emission Characteristics for Diesel Engine Fueled with Various Blends of Biodiesel and Metallic Nanoadditive Mixtures: An ANFIS–GA–HSA Approach

Comparative Study of Soft Computing and Metaheuristic Models in Developing Reduced Exhaust Emission Characteristics for Diesel Engine Fueled with Various Blends of Biodiesel and Metallic Nanoadditive Mixtures: An ANFIS–GA–HSA Approach

Optimal control strategies for the reliable and competitive mathematical analysis of Covid‐19 pandemic model

Study of a Fractional System of Predator-Prey with Uncertain Initial Conditions

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