Bifurcation analysis of a mathematical model of microalgae growth under the influence of sunlight

In this paper is considered a microalgae growth model under the influence of sunlight. The two-dimensional system first order Ordinary Differential Equations (ODE) with ten-dimensional parameter space. For model, we study existence equilibrium points and their stability, determine bifurcation when value some parameters varied. Lambert w function used to calculate apply linearization technique provide stabilities. By varying numerically, found transcritical show stability regions in diagrams. shows that have minimum sustainable nutrition supply light intensity plays an important role for survival chemostat which has certain depth. results can be design optimizing microalgae.