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January 7, 2023Mathematical and Computational ApplicationsOpen Access

Global Stability of Multi-Strain SEIR Epidemic Model with Vaccination Strategy

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Authors

ZYZakaria YaagoubKAKaram Allali

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Overview

Mathematical modeling study demonstrates global stability conditions for a multi-strain epidemic under vaccination, indicating all strain reproduction numbers must drop below unity to eliminate...

Key Points

  • Formulate and analyze the global dynamical behavior of a three-strain SEIR epidemic model incorporating a strain-specific vaccination strategy.
  • Formulated a nine-dimensional system of nonlinear ordinary differential equations tracking susceptible, vaccinated, exposed, infected, and recovered compartments across three pathogen strains.
  • Established existence, positivity, and boundedness of solutions, and constructed suitable Lyapunov functions to prove the global stability of five equilibrium points.
  • Conducted numerical simulations to validate theoretical predictions regarding strain persistence and extinction.
  • Identified five distinct equilibrium states: one disease-free equilibrium, three single-strain endemic equilibria, and one total endemic equilibrium.
  • Established that the global stability of each equilibrium depends on the strain-specific basic reproduction numbers (R01, R02, and R03).
  • Demonstrated that complete disease eradication occurs only when the basic reproduction numbers of all three strains fall strictly below unity.

Cite This Study

Yaagoub et al. (2023) studied this question.

synapsesocial.com/papers/6a896796abe412682d92df17https://doi.org/10.3390/mca28010009
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