• Pankaj Kumar

In this paper, a mathematical model is proposed to study the effect of delay on plant growth under the effect oftoxic metal. The model is developed using a non-linear system of delay differential equations. In the model, there are four state variables: concentration of toxic metal in soil, density of favorable resource in the plant environment, density of plant biomass and concentration of nutrient in soil. It is assumed the presence of toxic metal in the soil hinders nutrient uptake and nutrient utilization.It further delays the conversion of resources into plant biomassand hence, affects the plant growth adversely. This entire scenario is studied by introducing delay parameter in state variable: favorable resources. Stability of interior equilibrium points is studied whereHopf bifurcation is seen andsensitivity analysis is done.Model is also verified using already existing experimental data for growth of Green vegetables (Brassica juncea L. Czern) under the effect of toxic metals (Cu N.X.2015). Graphical support is provided to analytical results using MATLAB.

Nutrients,Plant biomass, Interior equilibrium point, Time delay, Stability, Hopf bifurcation.

"A Modelling Approach to Study the Effect of Delay on Plant Growth Under the Effect of Toxic Metal", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 10, page no.617-630, October 2018, Available :http://www.jetir.org/papers/JETIRDQ06088.pdf

"A Modelling Approach to Study the Effect of Delay on Plant Growth Under the Effect of Toxic Metal", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 10, page no. pp617-630, October 2018, Available at : http://www.jetir.org/papers/JETIRDQ06088.pdf