Decomposition rate and interaction of fungi: A random perturbation differential equation approach

Abstract In order to describe the interaction between different fungi and their effects on lignocellulose decomposition, we established a fungal decomposition rate model, a fungal competition model and a dynamic disturbance model. Function fitting was used to represent the effects of different independent variables on the decomposition rate of fungus, and finally the expression and image of two important independent variables on the decomposition rate of Hyphal extension and moisture trade-off were obtained. Fungal interaction is mainly a competitive relationship, on the basis of which the differential relationship is used to establish a model to analyze the situation when the system reaches a stable state, and the stochastic dynamic disturbance equation is added to simulate the influence of environmental change on the system. The final analysis shows that there are four kinds of stable states: extinction, non-equilibrium persistence, weak equilibrium persistence and strong equilibrium persistence.