The role of viral infection in phytoplankton dynamics with the inclusion of incubation class

The role of viral infection in phytoplankton dynamics without and with incubation population class is studied. It is observed that phytoplankton species in the absence of incubated class are unstable around an endemic equilibrium but the presence of delay in the form of incubated class has made it conditionally stable around an endemic equilibrium. We also observe that the dynamical system is very sensitive to the transfer rate from susceptible to incubated class and when it crosses a certain threshold the phytoplankton population start oscillating around the endemic equilibrium, shown both analytically and numerically.