Mathematical Model of Tip Death Due to Overcrowding and Tip-tip Anastomosis and Dichotomous Branching

Abstract

Inl this research, we have studiedi the growth status of fungal species when mixing three types of dichotomous branching and Tip death due to overcrowding and Tip-tip anastomosis, this biological phenomenon is represented as a mathematical model as partial differential equations (PDEs). The solution of this system depends on the numerical solution and this solution gives an approximate solution. Some steps in this solution such as steady states, phase plane and travlling wave solution. The results will describe the success sor failure ofl the growth of lthe types of fungi studieds and we usedl some codes (pplane7, Pdepe) in the numericals solution because there is a kind of difficulty in the direct lmathematical solution.