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Analysis of a HBV Model with Diffusion and Time Delay

Author

Listed:
  • Noé Chan Chí
  • Eric ÁvilaVales
  • Gerardo García Almeida

Abstract

This paper discussed a hepatitis B virus infection with delay, spatial diffusion, and standard incidence function. The local stability of equilibrium is obtained via characteristic equations. By using comparison arguments, it is proved that if the basic reproduction number is less than unity, the infection-free equilibrium is globally asymptotically stable. If the basic reproductive number is greater than unity, by means of an iteration technique, sufficiently conditions are obtained for the global asymptotic stability of the infected steady state. Numerical simulations are carried out to illustrate our findings.

Suggested Citation

  • Noé Chan Chí & Eric ÁvilaVales & Gerardo García Almeida, 2012. "Analysis of a HBV Model with Diffusion and Time Delay," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-25, November.
    • Handle: RePEc:hin:jnljam:578561
    DOI: 10.1155/2012/578561
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    Cited by:

    1. Vsevolod G. Sorokin & Andrei V. Vyazmin, 2022. "Nonlinear Reaction–Diffusion Equations with Delay: Partial Survey, Exact Solutions, Test Problems, and Numerical Integration," Mathematics, MDPI, vol. 10(11), pages 1-39, May.
    2. Yang, Junyuan & Wang, Xiaoyan, 2019. "Dynamics and asymptotical profiles of an age-structured viral infection model with spatial diffusion," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 236-254.
    3. Andrei D. Polyanin & Vsevolod G. Sorokin, 2023. "Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays," Mathematics, MDPI, vol. 11(3), pages 1-25, January.

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