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Lifting Lockdown Control Measure Assessment: From Finite-to Infinite-Dimensional Epidemic Models for Covid-19

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Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact

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Abstract

The main focus of this chapter is on public health control strategies which are currently the main way to mitigate Covid-19 pandemic. We introduce and compare compartmental models of increasing complexity for Covid-19 transmission to describe dynamics of the disease spread. We begin by considering an SEAIR model including basic characteristics related to Covid-19. Next, we shall pay attention to age-structured modeling to emphasis the role of age-group individuals on the disease spread. A model with constant delay is also formulated to show the impact of the latency period on the severity of Covid-19. Since there is evidence that for Covid-19 disease, important relationships exist between what is happening in the host and what is occurring at the population level, we shall link the basic model to in-host dynamics through the so-called threshold-type delay models. Finally, we will include demographic effects to the most complex models, and we will conduct rigorous bifurcation analysis to quantify possible factors responsible for disease progression.

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Acknowledgements

The authors are grateful to the anonymous referees for their valuable and helpful comments that improved this chapter.

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Authors and Affiliations

  1. Superior School of Technology, Sidi Mohamed Ben Abdellah University, Fez, 30000, Morocco

    Redouane Qesmi

  2. Department of Biology, Cadi Ayyad University, Semlalia, Marrakech, 40000, Morocco

    Aayah Hammoumi

Authors
  1. Redouane Qesmi
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  2. Aayah Hammoumi
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Correspondence to Redouane Qesmi .

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Editors and Affiliations

  1. Anand International College of Engineering, Jaipur, Rajasthan, India

    Praveen Agarwal

  2. Institute of Mathematics, University of Santiago de Compostela, Santiago, Spain

    Juan J. Nieto

  3. Mathematical Sciences, Queen Mary University of London, London, UK

    Michael Ruzhansky

  4. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Delfim F. M. Torres

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Qesmi, R., Hammoumi, A. (2021). Lifting Lockdown Control Measure Assessment: From Finite-to Infinite-Dimensional Epidemic Models for Covid-19. In: Agarwal, P., Nieto, J.J., Ruzhansky, M., Torres, D.F.M. (eds) Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-16-2450-6_9

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