Home

Computational Ecology and Software, 2015, 5(2): 152-174
[XML] [EndNote] [RefManager] [BibTex] [DOAJ] [ Full PDF (270K)] [Comment/Review Article]

Article

Modeling the effect of pollution on biological species: A socio-ecological problem

B. Dubey1, J. Hussain2, S. N. Raw3, Ranjit Kumar Upadhyay4
1Department of Mathematics, Birla Institute of Technology and Science, Pilani - 333031, India
2Department of Mathematics and Computer Science, Mizoram University, Aizwal - 796009, India
3Department of Mathematics, National Institute of Technology, Raipur - 492010, India
4Department of Applied Mathematics, Indian School of Mines, Dhanbad - 826004, India

Received 13 December 2014;Accepted 20 January 2015;Published online 1 June 2015
IAEES

Abstract
In this paper, a nonlinear spatial model is proposed and analyzed to study the effect of pollution on biological population. It is assumed that the pollutants enter into the environment not directly by the population but by a precursor produced by the population itself. It is further assumed that larger the population, faster the precursor is produced, and larger the precursor, faster the pollutant is produced. Criteria for nonlinear stability and instability for both spatial and non-spatial models are obtained. The various parameter ranges for stable homogeneous solutions are identified. By the simulation experiments, it is observed that by applying an appropriate effort F, the population density P can be maintained at a higher equilibrium level. It is also shown that the equilibrium level of the concentration of precursor pollutant, concentration of pollutant in the environment and in the population decrease due to the effort F.

Keywords precursor;pollutant;biological species;stability;conservation efforts.


International Academy of Ecology and Environmental Sciences. E-mail: office@iaees.org
Copyright © 2009-2024 International Academy of Ecology and Environmental Sciences. All rights reserved.
Web administrator: office@iaees.org, website@iaees.org; Last modified: 2024/4/19


Translate page to: