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2. A Comprehensive Analysis of the Covid-19 Model

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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3. Modeling the Transmission of Coronavirus with SEIR Approach

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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4. Modeling the Spread of Covid-19 with a Approach: Inclusion of Unreported Infected Class

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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5. An Application of SEIRD Approach

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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6. Fractional Differential and Integral Operators

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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7. A Simple SIR Model of Covid-19 Spread

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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8. A Mathematical Model with Covid-19 Reservoir

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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9. Numerical Scheme for a General Stochastic Equation with Classical and Fractional Derivatives

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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10. Existence and Uniqueness for Stochastic Differential Equations

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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11. A New Model with Asymptomatic and Quarantined Classes

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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12. History on Covid-19 Spread

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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13. Analysis of SEIARD Model of Coronavirus Transmission

Author

Atangana, Abdon, İgret Araz, Seda, Gowda, G. D. Veerappa, Editor-in-Chief, Kesavan, S., Editor-in-Chief, Nekka, Fahima, Editor-in-Chief, Khan, Akhtar A., Editorial Board Member, Rangarajan, Govindan, Editorial Board Member, Balachandran, K., Editorial Board Member, Sreenivasan, K. R., Editorial Board Member, Brokate, Martin, Editorial Board Member, Nashed, M. Zuhair, Editorial Board Member, Gupta, N. K., Editorial Board Member, Zahra, Noore, Editorial Board Member, Manchanda, Pammy, Editorial Board Member, Lozi, René Pierre, Editorial Board Member, Aslan, Zafer, Editorial Board Member, Atangana, Abdon, and İgret Araz, Seda

Published
2022
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38. Piecewise derivatives versus short memory concept: Analysis and application

Author

Atangana, Abdon, Igret Araz, Seda, University of the Free State [South Africa], and Araz, Seda

Subjects
Piecewise calculus, short memory concept, MathematicsofComputing_NUMERICALANALYSIS, [MATH] Mathematics [math], chaos and epidemiology, [MATH]Mathematics [math], crossover behaviours
Abstract

We have provided a detailed analysis to show the fundamental difference between the concept of short memory and piecewise differential and integral operators. While the concept of short memory leads to different long tails in different intervals of time or space as results of power law with different fractional orders. The concept of piecewise helps to depict crossover behaviours of different patterns. We presented some examples with different numerical simulations. In some cases, models with piecewise led to crossover behaviours from deterministic to stochastics which is indeed the reason this concept was introduced.

Published
2021

39. Deterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect

Author

Atangana, Abdon, Igret Araz, Seda, University of the Free State [South Africa], China Medical University Hospital [Taichung], and Atangana, Abdon

Subjects
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], MathematicsofComputing_NUMERICALANALYSIS, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [MATH] Mathematics [math], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [MATH]Mathematics [math], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

Many real world problems depict processes following crossover behaviours. Modelling processes following crossover behaviours have been a great challenge to mankind. Indeed real world problems following crossover from Markovian to randomness processes have been observed in many scenarios, for example in epidemiology with spread of infectious diseases and even some chaos. Deterministic and stochastic methods have been developed independently to develop the future state of the system and randomness respectively. Very recently, Atangana and Seda introduced a new concept called piecewise di¤erentiation and integration, this approach helps to capture processes with crossover e¤ects. In this paper, an example of piecewise modelling is presented with illustration to chaos problems. Some important analysis including a piecewise existence and uniqueness and piecewise numerical scheme are presented. Numerical simulations are performed for di¤erent cases.Keywords and phrases: Stochastic-deterministic models, piecewise existence and uniqueness, piecewise numerical scheme, new classes of chaotic attractors.

Published
2021

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