International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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MODELING AND ANALYSIS OF A BIOLOGICAL POPULATION: EFFECTS OF TOXICANTS (POLLUTANTS) EMITTED FROM EXTERNAL SOURCES AS WELL AS FORMED BY PRECURSORS

    1 Author(s):  SHALINI SHARMA

Vol -  4, Issue- 3 ,         Page(s) : 642 - 650  (2013 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

In this paper, a non-linear mathematical model is proposed and analyzed to study the effect of a toxicant (pollutant) which is emitted into the environment from various external sources at a constant rate and whose concentration is augmented due to transformation of a precursor produced by the species. It is shown that if the rate of emission of toxicant and rate of its transformation from precursor into the environment increases, the density of the biological population settles down to a lower equilibrium than its original carrying capacity and its magnitude decreases as the equilibrium level of concentration of toxicant increases. It is pointed out that for very large emission and transformation rates of the toxicant from the above mentioned processes, the survival of the biological species is threatened.

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