Bifurcation induced by delay parameter in plant growth dynamics

Abstract

In this paper, a mathematical model is proposed for plant growth dynamics using delay differential equations. The state variables considered are: plant biomass and nutrient concentration. It is assumed that the delayed nutrient concentration adversely affects the plant growth. The positivity of solutions is established and the feasible interior equilibrium point is calculated. The stability of the system around the interior equilibrium is checked. Hopf-Bifurcation occurred around the critical value of the delay parameter. Analytical findings are supported using MATLAB simulation.