A MODEL FOR THE ADVERSE EFFECT OF TWO TOXICANTS CAUSING DEFORMITY IN A SUBCLASS OF A BIOLOGICAL SPECIES
A.K. Agarwal, Aaron Khan, Alok Kumar Agrawal · International Journal of Pure and Apllied Mathematics · 2016
We have designed and analyzed a 6-dimensional mathematical model to study the effect of two toxicants on a biological species.A subclass of this biological species is badly affected by these toxins.This subclass of species shows deformity and is assumed to be not capable in further reproduction.We have assumed that one toxicant is being discharged into the environment by the biological species and the other toxicant is being emitted into the environment by some external sources.Using stability analysis and hopf-bifurcation theory, we have seen, when toxicant level (emitted by species) or/and toxicant level (emitted by external sources) increase, total density of species decreases, the density of the subclass of species increases.After crossing a critical concentration level of each toxicant, total density and density of the subclass of species start oscillations and show hopf-bifurcation.