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A mathematical model for COVID-19 transmission by using the Caputo fractional derivative

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  1. Asamoah, Joshua Kiddy K. & Fatmawati,, 2023. "A fractional mathematical model of heartwater transmission dynamics considering nymph and adult amblyomma ticks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
  2. Hernández-Balaguera, Enrique, 2021. "Numerical approximations on the transient analysis of bioelectric phenomena at long time scales via the Mittag-Leffler function," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  3. Svajone Bekesiene & Igor Samoilenko & Anatolij Nikitin & Ieva Meidute-Kavaliauskiene, 2022. "The Complex Systems for Conflict Interaction Modelling to Describe a Non-Trivial Epidemiological Situation," Mathematics, MDPI, vol. 10(4), pages 1-24, February.
  4. Etemad, Sina & Avci, Ibrahim & Kumar, Pushpendra & Baleanu, Dumitru & Rezapour, Shahram, 2022. "Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
  5. Alexander Domoshnitsky & Alexander Sitkin & Lea Zuckerman, 2022. "Mathematical Modeling of COVID-19 Transmission in the Form of System of Integro-Differential Equations," Mathematics, MDPI, vol. 10(23), pages 1-17, November.
  6. Noureddine Djenina & Adel Ouannas & Iqbal M. Batiha & Giuseppe Grassi & Taki-Eddine Oussaeif & Shaher Momani, 2022. "A Novel Fractional-Order Discrete SIR Model for Predicting COVID-19 Behavior," Mathematics, MDPI, vol. 10(13), pages 1-16, June.
  7. Sajjad, Assad & Farman, Muhammad & Hasan, Ali & Nisar, Kottakkaran Sooppy, 2023. "Transmission dynamics of fractional order yellow virus in red chili plants with the Caputo–Fabrizio operator," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 347-368.
  8. Abdel-Rehim, E.A. & Hassan, R.M. & El-Sayed, A.M.A., 2021. "On simulating the short and long memory of ergodic Markov and Non-Markov genetic diffusion processes on the long run," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
  9. Khan, Hasib & Alam, Khurshaid & Gulzar, Haseena & Etemad, Sina & Rezapour, Shahram, 2022. "A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 455-473.
  10. Sweilam, N.H. & AL - Mekhlafi, S.M. & Baleanu, D., 2021. "A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  11. Jahanshahi, Hadi & Munoz-Pacheco, Jesus M. & Bekiros, Stelios & Alotaibi, Naif D., 2021. "A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
  12. Matouk, A.E., 2020. "Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
  13. Fernando Alcántara-López & Carlos Fuentes & Carlos Chávez & Jesús López-Estrada & Fernando Brambila-Paz, 2022. "Fractional Growth Model with Delay for Recurrent Outbreaks Applied to COVID-19 Data," Mathematics, MDPI, vol. 10(5), pages 1-18, March.
  14. Kouidere, Abdelfatah & Balatif, Omar & Rachik, Mostafa, 2021. "Analysis and optimal control of a mathematical modeling of the spread of African swine fever virus with a case study of South Korea and cost-effectiveness," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
  15. Baba, Isa Abdullahi & Nasidi, Bashir Ahmad, 2021. "Fractional Order Model for the Role of Mild Cases in the Transmission of COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
  16. Ullah, Ihsan & Ahmad, Saeed & Rahman, Mati ur & Arfan, Muhammad, 2021. "Investigation of fractional order tuberculosis (TB) model via Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
  17. Verma, Pratibha & Kumar, Manoj, 2021. "Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
  18. Ain, Qura tul & Khan, Aziz & Ullah, Muhammad Irfan & Alqudah, Manar A. & Abdeljawad, Thabet, 2022. "On fractional impulsive system for methanol detoxification in human body," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
  19. Ahmed, Nauman & Raza, Ali & Rafiq, Muhammad & Ahmadian, Ali & Batool, Namra & Salahshour, Soheil, 2021. "Numerical and bifurcation analysis of SIQR model," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
  20. Amani Almohaimeed & Jochen Einbeck & Najla Qarmalah & Hanan Alkhidhr, 2022. "Using Random Effect Models to Produce Robust Estimates of Death Rates in COVID-19 Data," IJERPH, MDPI, vol. 19(22), pages 1-13, November.
  21. Prem Kumar, R. & Santra, P.K. & Mahapatra, G.S., 2023. "Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 741-766.
  22. Trikha, Pushali & Mahmoud, Emad E. & Jahanzaib, Lone Seth & Matoog, R.T. & Abdel-Aty, Mahmoud, 2021. "Fractional order biological snap oscillator: Analysis and control," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  23. Kaushik Dehingia & Ahmed A. Mohsen & Sana Abdulkream Alharbi & Reima Daher Alsemiry & Shahram Rezapour, 2022. "Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2," Mathematics, MDPI, vol. 10(13), pages 1-15, July.
  24. Liu, Xuan & Ullah, Saif & Alshehri, Ahmed & Altanji, Mohamed, 2021. "Mathematical assessment of the dynamics of novel coronavirus infection with treatment: A fractional study," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
  25. Christopher Nicholas Angstmann & Byron Alexander Jacobs & Bruce Ian Henry & Zhuang Xu, 2020. "Intrinsic Discontinuities in Solutions of Evolution Equations Involving Fractional Caputo–Fabrizio and Atangana–Baleanu Operators," Mathematics, MDPI, vol. 8(11), pages 1-16, November.
  26. Batabyal, Saikat, 2021. "COVID-19: Perturbation dynamics resulting chaos to stable with seasonality transmission," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  27. Yin, Xuecheng & Büyüktahtakın, İ. Esra & Patel, Bhumi P., 2023. "COVID-19: Data-Driven optimal allocation of ventilator supply under uncertainty and risk," European Journal of Operational Research, Elsevier, vol. 304(1), pages 255-275.
  28. Jianyu Wang & Chunhua Fang & Guifeng Zhang, 2023. "Multi-Effective Collocation Methods for Solving the Volterra Integral Equation with Highly Oscillatory Fourier Kernels," Mathematics, MDPI, vol. 11(20), pages 1-19, October.
  29. Khan, Hasib & Ahmad, Farooq & Tunç, Osman & Idrees, Muhammad, 2022. "On fractal-fractional Covid-19 mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
  30. Babaei, A. & Jafari, H. & Banihashemi, S. & Ahmadi, M., 2021. "Mathematical analysis of a stochastic model for spread of Coronavirus," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  31. Chen, Jinbao & Zheng, Yang & Liu, Dong & Du, Yang & Xiao, Zhihuai, 2023. "Quantitative stability analysis of complex nonlinear hydraulic turbine regulation system based on accurate calculation," Applied Energy, Elsevier, vol. 351(C).
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