Dynamic model of COVID-19 and citizens reaction using fractional derivative

Ogunrinde, R. B.; Nwajeri, Ugochukwu Kizito; Fadugba, Sunday Emmanuel; Ogunrinde, Rowland R.; Oshinubi, Kayode

doi:10.1016/j.aej.2020.09.016

Cited by 32 publications

(16 citation statements)

References 14 publications

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“…Ogunrinde et al. studied the dynamic model of COVID-19 and citizens’ reaction [23] , while the complex dynamics of a fractional SIR system in the context of COVID-19 has been discussed by Majee et al. in [24] .…”

Section: Introductionmentioning

confidence: 99%

The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

et al. 2022

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Section: Introductionmentioning

confidence: 99%

The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

et al. 2022

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“…Many types of research on epidemics have recently been published [ [20] , [21] , [22] , [23] , [24] , [25] , [26] ]. During the COVID-19 epidemic, the authors' estimated daily reproduction counts in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…[ 20 ]. [ 21 ] presents a dynamic model of COVID-19 and citizens reaction from a section of the Nigerian population using fractional derivative [ 22 ]. examines a model for typhoid fever direct and indirect transmission dynamics with three control interventions [ 23 ].…”

Section: Introductionmentioning

confidence: 99%

COVID-19: Mathematical growth vs. precautionary measures in China, KSA, and the USA

El-Shorbagy

El-Refaey

2022

Informatics in Medicine Unlocked

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This paper aims to study the relation between precautionary measures that were taken by countries to prevent the spread of COVID-19 and its impact on its mathematical growth. In this paper, we study the development and growth of the epidemic during the first fifty days since its appearance in three countries: China, the Kingdom of Saudi Arabia (KSA), and the United States of America (USA). An optimization process is used to determine the parameters of the closest model that simulates the data during the specified period by using one of the evolutionary computation techniques, the grasshopper optimization algorithm (GOA). The study reveals that the strict precautionary measures of applying isolation and quarantine, preventing all gatherings, and a total curfew are the only way to prevent the spread of the epidemic exponentially as China did. Also, without any measures to slow its growth, COVID-19 will continue to spread steadily for months.

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“…Reference [10] also considers this formulation, but in addition time delays are explicitly built into the model. Another extension of the SEIR system is considered in [11], where the class P of "deprived and marginalised" individuals is also considered. The latter are individuals that are less able to cope with strict distancing measures and therefore contribute to the further spread of the disease.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Study of a Coronavirus Model with the Caputo Fractional-Order Derivative

Belgaid¹,

Helal²,

Lakmeche³

et al. 2021

Fractal Fract

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In this work, we introduce a minimal model for the current pandemic. It incorporates the basic compartments: exposed, and both symptomatic and asymptomatic infected. The dynamical system is formulated by means of fractional operators. The model equilibria are analyzed. The theoretical results indicate that their stability behavior is the same as for the corresponding system formulated via standard derivatives. This suggests that, at least in this case for the model presented here, the memory effects contained in the fractional operators apparently do not seem to play a relevant role. The numerical simulations instead reveal that the order of the fractional derivative has a definite influence on both the equilibrium population levels and the speed at which they are attained.

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Dynamic model of COVID-19 and citizens reaction using fractional derivative

Cited by 32 publications

References 14 publications

The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

COVID-19: Mathematical growth vs. precautionary measures in China, KSA, and the USA

A Mathematical Study of a Coronavirus Model with the Caputo Fractional-Order Derivative

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