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Global Dynamics of an SVEIR Model with Age‐Dependent Vaccination, Infection, and Latency

Author

Listed:
  • Rodrigue Yves M’pika Massoukou
  • Suares Clovis Oukouomi Noutchie
  • Richard Guiem

Abstract

Vaccine‐induced protection is substantial to control, prevent, and reduce the spread of infectious diseases and to get rid of infectious diseases. In this paper, we propose an SVEIR epidemic model with age‐dependent vaccination, latency, and infection. The model also considers that the waning vaccine‐induced immunity depends on vaccination age and the vaccinated individuals fall back to the susceptible class after losing immunity. The model is a coupled system of (hyperbolic) partial differential equations with ordinary differential equations. The global dynamics of the model is established through construction of appropriate Lyapunov functionals and application of Lasalle’s invariance principle. As a result, the global stability of the infection‐free equilibrium and endemic equilibrium is obtained and is fully determined by the basic reproduction number R0.

Suggested Citation

  • Rodrigue Yves M’pika Massoukou & Suares Clovis Oukouomi Noutchie & Richard Guiem, 2018. "Global Dynamics of an SVEIR Model with Age‐Dependent Vaccination, Infection, and Latency," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:8479638
    DOI: 10.1155/2018/8479638
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    References listed on IDEAS

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    1. Raúl Peralta & Cruz Vargas-De-León & Pedro Miramontes, 2015. "Global Stability Results in a SVIR Epidemic Model with Immunity Loss Rate Depending on the Vaccine-Age," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-8, February.
    2. Raúl Peralta & Cruz Vargas-De-León & Pedro Miramontes, 2015. "Global Stability Results in a SVIR Epidemic Model with Immunity Loss Rate Depending on the Vaccine‐Age," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
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