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Stability Analysis of a Fractional Order of a New Corona Virus Disease (Covid-19) Model

20232 citationsOpen accessUniversité Sultan Moulay Slimane

Abstract

Abstract In this paper, we propose a fractional order SEIHR pandemic model of Covid-19 that describesthe spreadability of Corona virus within a population. We prove the global existence, positivity, and bound-edness of solutions. In addition, the local and the global stability of the disease-free equilibrium and thedisease equilibrium are studied by using Routh-Hurwitz criteria and construction an appropriate Lyapunovfunctions. Finally, numerical simulations are performed to verify the theoretical results.

Research topics

  • Fractional Differential Equations Solutions
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • COVID-19 epidemiological studies

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DOI: 10.21203/rs.3.rs-2670612/v1

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