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

Hajar Besbassi, Khalid Hattaf, Noura Yousfi, Abdul Qadeer Khan
2020 Discrete Dynamics in Nature and Society  
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
more » ... Hopf bifurcation is also analyzed. Finally, an application is presented in order to support the analytical results.
doi:10.1155/2020/5908976 fatcat:p3rfdp76bfgehcyvlleatx7kta