Dynamics and productivity of microalgae in presence of predators

This paper is concerned with the dynamics and productivity of biomass in a continuous microalgae culture contaminated by predators. We propose general model describing cultivation system where photolimited are grazed zooplankton. state necessary sufficient conditions for existence coexistence equilibrium. If this equilibrium exists, then predators converge either to it or globally asymptotically stable periodic solution. In absence equilibrium, any solution approaches an characterized presence algae predators, washout description allows define long-term (i.e. when attracting set reached). With help numerical simulations, we show that operating at optimal (constant) dilution rate triggers extinction