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Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays

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  • Hajar Besbassi
  • Khalid Hattaf
  • Noura Yousfi

Abstract

A generalized chikungunya virus (CHIKV) infection model with nonlinear incidence functions and two time delays is proposed and investigated. The model takes into account both modes of transmission that are virus-to-cell infection and cell-to-cell transmission. Furthermore, the local and global stabilities of the disease-free equilibrium and the chronic infection equilibrium are established by using the linearization and Lyapunov functional methods. Moreover, the existence of Hopf bifurcation is also analyzed. Finally, an application is presented in order to support the analytical results.

Suggested Citation

  • Hajar Besbassi & Khalid Hattaf & Noura Yousfi, 2020. "Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, October.
    • Handle: RePEc:hin:jnddns:5908976
    DOI: 10.1155/2020/5908976
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    Cited by:

    1. Abraha, Teklebirhan & Al Basir, Fahad & Obsu, Legesse Lemecha & Torres, Delfim F.M., 2021. "Pest control using farming awareness: Impact of time delays and optimal use of biopesticides," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Pan, Sonjoy & Chakrabarty, Siddhartha P., 2022. "Analysis of a reaction–diffusion HCV model with general cell-to-cell incidence function incorporating B cell activation and cure rate," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 431-450.

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