Susceptible-Infected-Susceptible Epidemic Discrete Dynamic System Based on Tsallis Entropy

Momani, Shaher; Ibrahim, Rabha W.; Hadid, Samir

doi:10.3390/e22070769

Cited by 7 publications

(2 citation statements)

References 32 publications

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“…Mainly, by utilizing the system dχ(t)/dt = χ(t), where χ represents the number of infected people, the rampant phase, the increasing number of asymptomatic infected persons, is described. Nowadays, there are different numerical studies and analytic investigations in COVID-19 have been presented (see [4][5][6][7]).…”

Section: Introductionmentioning

confidence: 99%

Dynamical system of the growth of COVID-19 with controller

2021

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Recently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion among infected and asymptomatic characters. Strong control is considered due to the social separation. The result is consequently associated with a macroscopic law for the population. This dynamic system is useful to recognize the behavior of the growth rate of the infection and to confirm if its control is correctly functioning. A unique solution is studied under self-mapping properties. The periodicity of the solution is examined by using integral control and the optimal control is discussed in the sequel.

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Section: Introductionmentioning

confidence: 99%

Dynamical system of the growth of COVID-19 with controller

2021

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“…Newly, fractional calculus has expanded considerable attention primarily appreciations to the growing occurrence of investigation mechanisms in the life sciences, allowing for simulations found by fractional operators [1] including differential and integral formulas. Further, the mathematical investigation of fractional calculus has advanced, chief to connections with other mathematical areas such as probability theory, mathematical physics [2], and mathematical biology [3][4][5][6][7] and the investigation of stochastic processes in real cases. In addition, it appears in studies of complex analysis.…”

Section: Introductionmentioning

confidence: 99%

Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable

Alarifi

Ibrahim

2021

Journal of Function Spaces

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Saint-Venant equations describe the flow below a pressure surface in a fluid. We aim to generalize this class of equations using fractional calculus of a complex variable. We deal with a fractional integral operator type Prabhakar operator in the open unit disk. We formulate the extended operator in a linear convolution operator with a normalized function to study some important geometric behaviors. A class of integral inequalities is investigated involving special functions. The upper bound of the suggested operator is computed by using the Fox-Wright function, for a class of convex functions and univalent functions. Moreover, as an application, we determine the upper bound of the generalized fractional 2-dimensional Saint-Venant equations (2D-SVE) of diffusive wave including the difference of bed slope.

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Intervention-Aware Epidemic Prediction by Enhanced Whale Optimization

Zhao

Song

et al. 2022

Knowledge Science, Engineering and Management

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Susceptible-Infected-Susceptible Epidemic Discrete Dynamic System Based on Tsallis Entropy

Cited by 7 publications

References 32 publications

Dynamical system of the growth of COVID-19 with controller

Dynamical system of the growth of COVID-19 with controller

Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable

Intervention-Aware Epidemic Prediction by Enhanced Whale Optimization

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