Global Dynamics of a Coupled Epidemic Model With General Incidence Function
- Asia Pacific Journal of Mathematics
Résumé
In this paper, we propose a novel epidemic model coupling direct and indirect transmission of disease with general incidence function and study the global dynamic of the model system.Despite the nonlinearity and complexity of the system, the basic reproduction number exhibits a nice linear property: it is simply the sum of two basic reproduction numbers for direct and indirect disease transmissions respectively.We further demonstrate that the local and global dynamic of the system are related to the basic reproduction number.The new model has the advantage that it generalizes or connects to various disease models on HIV, Zika virus and so on.
Mots-clés
direct and indirect transmission, basic reproduction number, global dynamics, local stability, HIV transmission, Zika virus transmission