MODELING THE DYNAMICS OF BIOMASS WITH HOLLING’S DISC EQUATION
The behaviour of the consumers of the Ugandan biomass does mimic two effects proposed in the 1959 Supruce Budworm model with the use of Holling’s type III consumption equation. First, they tend to increase their dependence on the forests when the forest density increases and also the population of people depending on forests seems to grow when the forest densities increase. Holling [2] disc equation assumes the principle of time budget, that is, consumers spend their time on two major activities; namely, searching for desirable species and processing their harvest. This equation is used to develop a model for the biomass in the Uganda Albertine Rift region. This model is analysed by standard dynamical system methods. The results of the analysis have shown that the dynamics of biomass in the Uganda Albertine Rift region can be well expressed by the use of Schaefer’s model improved by Holling’s Spruce Budworm model.
dynamics, mathematical modelling, biomass, deforestation.