A Complete Mathematical Model For Trichoderma Fungi Kinetics
Abstract
We develop an unstructured mathematical model to describe the growth kinetics of the Trichoderma fungus and its enzyme (cellulase) production in the rhizosphere. This model incorporates hydrolysis, where organic matter is broken down, producing a liquefied substrate that supports fungal growth and enzyme synthesis. The resulting captures the interactions between substrate degradation, fungal growth, and enzyme formation. Analysis of the model's asymptotic behavior reveals convergence to a global attractor comprising infinite non-hyperbolic equilibria, depending on initial conditions. Numerical simulations with data from the literature confirm the theoretical study and validate the model.
Fields of Study & Subjects
Microbial Metabolic Engineering and Bioproduction
Biofuel production and bioconversion
Fungal Biology and Applications
Publication details
- Journal / source
- Boletim da Sociedade Paranaense de Matemática
- Volume
- 44
- Issue
- 1
- Pages
- 1–19
- Publication date
- 20 July 2026
- Language
- EN