Dynamics of an immunological viral infection model with lytic and non-lytic immune response in presence of cell-to-cell transmission and cure of infected cells

Abstract

In this paper, we propose a mathematical model that describes the dynamics of viral infection with both modes of transmission, virus-to-cell and cell-to-cell by taking into account the non-cytolytic cure of infected cells, the lytic and non-lytic humoral immune response. We first prove the non-negativity and boundedness of the solutions of the proposed model. Furthermore, the dynamical behaviors of the model including the local and global stability of equilibria are rigorously investigated.