IJPAM: Volume 119, No. 1 (2018)

Title

A MODEL FOR THE ADVERSE EFFECT OF TOXICANT
ON REPRODUCTIVE HEALTH OF A SUBCLASS
OF A BIOLOGICAL SPECIES

Authors

A.K. Agrawal
Department of Mathematics
Amity University
Lucknow Campus, U.P., INDIA

Abstract

We have proposed and analysed a non-linear mathematical model to study the effect of a toxicant on a biological species that can have adverse effect on reproductive health of a subclass of the species. Using stability theory, it has been shown that the density of biological species would settle down to its equilibrium level. It is also found that the population density of a subclass of those members of the population which is severely affected by the toxicant and not capable in further reproduction, increases as the emission rate of the toxicant increases.

History

Received: October 25, 2017
Revised: May 22, 2018
Published: June 5, 2018

AMS Classification, Key Words

AMS Subject Classification: 34C60, 34D20, 37N25
Key Words and Phrases: mathematical model, reproduction failure, stability analysis, toxicant effect

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How to Cite?

DOI: 10.12732/ijpam.v119i1.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 1
Pages: 63 - 76


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