A Control Modelling Effect of Primary and Secondary Toxicants on theSurvival orExtinction of Resource based Population in Aquatic Environment: A Qualitative Approach

Author:
ALOK MALVIYA
Affiliation:

Department of Mathematics, V.S.S.D. (P.G.) College, Kanpur

Corresponding Author E-mail: alok92nov@rediffmail.com

Keyword:
Resource biomass, Biological species, Toxicity, Emission, Aquatic environment. 2000 Mathematics Subject classification No.: 92D40
Issue Date:
February, 2017
Abstract:

In this paper, a non-linear control mathematical model is proposed and analyzed to study the effect of primary and secondary toxicants on the survival or the extinction of resource based population in aquatic environment. The model is formulated by using system of non-linear ordinary differential equations. In the analysis, all the feasible equilibrium points of the system have been obtained. The conditions for local and non-linear stability of the non-trivial equilibrium points have been carried out using a suitable Lyapunov function. It may be observed from the stability conditions that the density of the resource biomass (zooplankton population) and resource based biological species (fish population) would co-exist if their growth rates were more than the death (removal) rates of both the species due to toxicants both primary and secondary and also when their carrying capacities are positive.

Pages:
35-39
ISSN:
2319-8052 (Online) - 2231-3478 (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-B/290204
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Copy the following to cite this article:

ALOK MALVIYA, "A Control Modelling Effect of Primary and Secondary Toxicants on theSurvival orExtinction of Resource based Population in Aquatic Environment: A Qualitative Approach", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 2, Page Number 35-39, 2017

Copy the following to cite this URL:

ALOK MALVIYA, "A Control Modelling Effect of Primary and Secondary Toxicants on theSurvival orExtinction of Resource based Population in Aquatic Environment: A Qualitative Approach", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 2, Page Number 35-39, 2017

Available from: http://www.ultraphysicalsciences.org/paper/771/

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