Mathematical Model of HYFX Branching type

Abstract

In this research, we studied a case for fungal growth when mixing
four types of them, study these types consume all the energy. Mathematical models are used as partial differential equations that explain the biological phenomena of each species. It will take some time to get an approximate solution to this system and this is a fact of fungal growth. The solution of this system depends on the numerical solution and this solution gives an approximate solution. Therefore, in this solution we need some static steps such as nondimensionlision, stablility, travlling wave solution and numerical solution. We used some codes (pplane7, Pdepe) in numerical analysis because of the difficulty in the direct mathematical solution, and therefore from all this we get a set of results and conclusions, which are direct and inverse relationships with the growth rate of fungi