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Mathematical Models of Infectious Diseases

  1. In the present paper, we formulate a new mathematical model for the dynamics of COVID-19 with quarantine and isolation. Initially, we provide a brief discussion on the model formulation and provide relevant ma...

    Authors: Muhammad Altaf Khan, Abdon Atangana, Ebraheem Alzahrani and Fatmawati

    Citation: Advances in Difference Equations 2020 2020:425

    Content type: Research

    Published on:

  2. In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the den...

    Authors: Fatmawati, Muhammad Altaf Khan, Cicik Alfiniyah and Ebraheem Alzahrani

    Citation: Advances in Difference Equations 2020 2020:422

    Content type: Research

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  3. One of the control measures available that are believed to be the most reliable methods of curbing the spread of coronavirus at the moment if they were to be successfully applied is lockdown. In this paper a m...

    Authors: Idris Ahmed, Isa Abdullahi Baba, Abdullahi Yusuf, Poom Kumam and Wiyada Kumam

    Citation: Advances in Difference Equations 2020 2020:394

    Content type: Research

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  4. The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo–Fabrizio derivative. We make use of fixed point theory and Picard–Lindelöf technique to explore the...

    Authors: Azhar Hussain, Dumitru Baleanu and Muhammad Adeel

    Citation: Advances in Difference Equations 2020 2020:384

    Content type: Research

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  5. Since the first case of 2019 novel coronavirus disease (COVID-19) detected on 30 January, 2020, in India, the number of cases rapidly increased to 3819 cases including 106 deaths as of 5 April, 2020. Taking th...

    Authors: Amjad Salim Shaikh, Iqbal Najiroddin Shaikh and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2020 2020:373

    Content type: Research

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  6. Lately, many studies were offered to introduce the population dynamics of COVID-19. In this investigation, we extend different physical conditions of the growth by employing fractional calculus. We study a sys...

    Authors: Samir B. Hadid, Rabha W. Ibrahim, Dania Altulea and Shaher Momani

    Citation: Advances in Difference Equations 2020 2020:338

    Content type: Research

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  7. In this manuscript, the fractional Atangana–Baleanu–Caputo model of prey and predator is studied theoretically and numerically. The existence and Ulam–Hyers stability results are obtained by applying fixed poi...

    Authors: Mohammed S. Abdo, Satish K. Panchal, Kamal Shah and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2020 2020:249

    Content type: Research

    Published on: