A mathematical model for viral infection in toxin producing phytoplankton and zooplankton system

摘要

In this paper, we investigate the dynamical behaviour of toxin producing phytoplankton (TPP) and zooplankton. The phytoplanktons are divided into two groups, namely susceptible phytoplankton and infected phytoplankton. The conditions for coexistence for the populations are presented. In this model, we are discussing the effect of toxin substance. The system exhibits periodic oscillations in small region for rate of infection parameter and rate of toxin liberation parameter. For the higher values of rate of infection, it shows the quasi-periodic behaviour, which is responsible for bloom.