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A Cooperative Epidemiological Model of Infectious Disease Dynamics: A COVID-19 Case Study

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Advances in Nonlinear Dynamics

Part of the book series: NODYCON Conference Proceedings Series ((NCPS))

Abstract

A cooperative epidemiological mathematical model with essential dynamics proposed to describe the transmission of several infectious diseases is presented in this chapter. The analysis has kept in general, however, the study of COVID-19 pandemic prioritized. For instance, the model is used to estimate the cumulative number of infected cases and deaths in many countries due to the outbreak. The model assumes a homogeneous population mix, where parameters and uncertainty in the model are inferred using various available data sets. The proposed model is compared to the classical compartmental modeling type of infectious diseases. More specifically, the classical susceptible, infected, recovered, and deceased (SIRD) model is used to validate the proposed cooperative infection model. The RMS value is calculated and used to gauge the model efficiency.

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Author information

Authors and Affiliations

  1. College of Innovation and Technology, University of Michigan, Fint, MI, USA

    Yasser Aboelkassem

  2. University of California Irvine, Irvine, CA, USA

    Haithem E. Taha

Authors
  1. Yasser Aboelkassem
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  2. Haithem E. Taha
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Corresponding author

Correspondence to Yasser Aboelkassem .

Editor information

Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Walter Lacarbonara

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, USA

    Balakumar Balachandran

  3. Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    Michael J. Leamy

  4. Department of Physics, Lanzhou University of Technology, Lanzhou, Gansu, China

    Jun Ma

  5. ISEP-Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

  6. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Gabor Stepan

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Aboelkassem, Y., Taha, H.E. (2022). A Cooperative Epidemiological Model of Infectious Disease Dynamics: A COVID-19 Case Study. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81170-9_4

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  • DOI: https://doi.org/10.1007/978-3-030-81170-9_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-81169-3

  • Online ISBN: 978-3-030-81170-9

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