A Mathematical Model to Examination the Behavior of Two Competing Biological Species under the Effect of a Toxicant
Gauri Agrawal1, Alok Agrawal2, Anuj Kumar Agarwal3, Piyush Kumar Tripathi4

1Gauri Agrawal, Department of Mathematics, Amity University, Lucknow (U.P), India.
2Alok Agrawal, Department of Mathematics, Amity University, Lucknow (U.P), India.
3Anuj Kumar Agrawal, Departmet of Mathematics, BBD University, Lucknow (U.P), India.
4Piyush Kumar Tripathi, Department of Mathematics, Amity University, Lucknow (U.P), India.
Manuscript received on 20 September 2019 | Revised Manuscript received on 06 October 2019 | Manuscript Published on 11 October 2019 | PP: 673-677 | Volume-8 Issue-2S10 September 2019 | Retrieval Number: B11200982S1019/2019©BEIESP | DOI: 10.35940/ijrte.B1120.0982S1019
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: It is well known that the toxicants present in the environment affect the growth of any biological population living in that habitat. It also affects the carrying capacity of the environment with respect to that biological population. In this paper we are considering two logistically growing biological populations competing for a common resource under the effect of a toxicant and we’ve assumed that the first population discharges toxicant which is harmful to the second population only. Since, condition of the population and their habitat are limited therefore, keeping the above in the mind, here we’ve proposed a mathematical model to study the behaviour of the two competing population and observed that one species dies away as the time lapses due to the effect of the toxicants. It has been shown further that under certain conditions both the competing species can coexist in a long run.
Keywords: Competing Populations, Toxicants, Growth Rate, Carrying Capacity.
Scope of the Article: Cryptography and Applied Mathematics