A Complete Mathematical Model For Trichoderma Fungi Kinetics

We develop an unstructured mathematical model describing the growth kinetics of the Trichoderma fungus and the production of enzymes (cellulase) by degradation of a substrate (cellulose) in the rhizosphere. We integrate into this model the hydrolysis step of the organic matter and analyze the asymptotic behaviour of the obtained system. We show that our system evolves towards a global attractor consisting of infinite non-hyperbolic equilibria.