The Study of Effect of Toxic Metal on Plant Growth Dynamics with Time Lag: A Two-Compartment Model
Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2018, Vol 50, Issue 3
Abstract
A two-compartment mathematical model is proposed for the study of individual plant growth dynamics with time lag due to the presence of toxic metals in the soil. It is assumed in the model that nutrient uptake by the roots is hindered by the presence of the toxic metals. It is further assumed that there is less transfer of nutrients from the root compartment to the shoot compartment due to the toxic metals. However, the nutrient concentration decreases in the root compartment as well as in the shoot compartment, resulting in a decrease of the structural dry weight of the roots and shoots respectively. This effect was studied by considering time lag in the utilization coefficient of the nutrient concentration in the roots in the presence of toxic metals. It is further assumed in the model that the nutrient use efficiency is also affected by the presence of toxic metals, resulting in a decrease of the structural dry weight of the shoots. The inclusion of time lag results in the disturbance of the interior equilibrium stability and Hopf bifurcation occurs for a critical value of the delay parameter. This entire phenomenon was captured by numerical simulation.
Authors and Affiliations
Preety Kalra, Pankaj Kumar
Keywords
Related Articles
- EP ID EP541120
- DOI -
- Views 106
- Downloads 0
On Commutative Characterization of Graph Operation with Respect to Metric Dimension
Let G be a connected graph with vertex set V(G) and W={w_1,w_2,…,w_m}⊆V(G). A representation of a vertex v∈V(G) with respect to W is an ordered m-tuple r(v|W)=(d(v,w_1 ),d(v,w_2 ),...,d(v,w_m )) where d(v,w) is the dista...
Riesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series
In this study a generalization of the Riesz representation theorem on non-degenerate bilinear spaces, particularly on spaces of truncated Laurent series, was developed. It was shown that any linear functional on a non-de...
Introduction of Interpolation and Extrapolation Model in Lanczos-type Algorithms A13/B6 and A13/B13 to Enhance their Stability
A new method to treat the inherent instability of Lanczos-type algorithms is introduced. It enables us to capture the properties of the sequence of iterates generated by a Lanczos-type algorithm by interpolating on this...
Tree Community Structure and Composition of a One-Hectare Permanent Plot in the Montane Zone of Mount Kerinci, Kerinci Seblat National Park, Jambi
Information on tree community structure and composition is needed in forest management and restoration. These data can be obtained using a permanent plot for studying forest dynamics, including species-specific character...
Production and Characterization of Chitinases from Thermophilic Bacteria Isolated from Prataan Hot Spring, East Java
Thermophilic bacteria producing chitinase were collected from Prataan hot spring, East Java, Indonesia and screened. The isolated bacterium was analyzed using 16S rRNA gene sequencing analysis and identified as Paenibaci...