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.

中文翻译：

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具有两种传播和延迟方式的广义基孔肯雅病毒感染模型的稳定性和Hopf分叉

提出并研究了具有非线性入射函数和两个时滞的广义基孔肯雅病毒（CHIKV）感染模型。该模型考虑了病毒到细胞感染和细胞到细胞两种传播方式。此外，使用线性化和Lyapunov函数方法建立了无病平衡和慢性感染平衡的局部和全局稳定性。此外，还分析了Hopf分叉的存在。最后，提出了一个应用程序以支持分析结果。