( ISSN 2277 - 9809 (online) ISSN 2348 - 9359 (Print) ) New DOI : 10.32804/IRJMSH

Impact Factor* - 6.2311


**Need Help in Content editing, Data Analysis.

Research Gateway

Adv For Editing Content

   No of Download : 59    Submit Your Rating     Cite This   Download        Certificate

MODELING THE SURVIVAL AND EXISTENCE OF A BIOLOGICAL POPULATION: EFFECTS OF TOXICANTS EMITTED FROM EXTERNAL SOURCES

    1 Author(s):  SHALINI SHARMA

Vol -  6, Issue- 9 ,         Page(s) : 275 - 288  (2015 ) DOI : https://doi.org/10.32804/IRJMSH

Abstract

In this paper, a non-linear mathematical model is proposed and analyzed to study the existence and survival of a biological population when the resource and population is being affected by a toxicant (pollutant), emitted into the environment from external sources. Although the resource biomass density is also affected, here in the model we have only considered the adverse effects of biological population taking up the consideration of the uptake of toxicants by population

[1] J. K. DeLuna, T. G. Hallam, Effect of toxicants on population: a qualitative approach IV. Resource-consumer-toxicant models. Ecol. Modelling 35 (1987) 249-273.
[2] H. I. Freedman, J. B. Shukla, Models for the effect of toxicant in single species and predator-prey systems. J Math. Biol. 30 (1991) 15-30.
[3] H.I. Freedman, J.W.H. So, Global stability and persistence of simple food chains Math. Biosciences 76 (1985) 69-86.
[4] D.C. Garcia-Montiel, F.N. Scatena, The effect of human activity on the structure and composition of a tropical forest in Puerto Rico. Forest Ecol. Management. 63 (1994) 57-78.
[5] T. G. Hallam, C. E. Clark, Nonautonomous logistic equation as models of population in a deteriorating environment. J. Theor. Biol. 93 (1982) 303-311.
[6] T. G. Hallam, C. E. Clark, G.S. Jordan, Effects of toxicants on populations: a qualitative approach II, First order Kinetics, J. Math. Biol., 18 (1983 a) 25-37.
[7] T. G. Hallam, C. E. Clark, R.R. Lassiter, Effects of toxicants on populations: a qualitative approach I. Equilibrium environmental exposure, Ecol. Model. 18 (1983 b) 291-304.
[8] T. G. Hallam, J. T. De Luna, Effects of toxicants on population: A qualitative approach III. Environmental and food chain pathways, J Theor. Biol. 109 (1982) 411-429.
[9] J. LaSalle, S. Lefschetz, Stability by Liapunov’s Direct Method with Applications, Academic Press, New York, London, 1961.
[10] S.B. McLaughlin, Effects of air pollution on forests, J. of Air Pollut. Control Assoc. 35 (1985) 512-534.
[11] C. Padoch, A.P. Vayada, Pattern of resource use and human settlement in tropical forest. In: Golley F.B. (ed), Tropical Rain Forest Ecosystems, Elsevier, New York, (1983) 301-313.
[12] S. A. Patin, Pollution and the biological resource of the ocean, Butterworth Scientific, London 1982.
[13] E.D. Schulze, Air pollution and forest decline in a Spruce (Picaabies) forest, Science 224 (1989) 776-783.
[14] A. Shukla, J. B. Shukla, B. Dubey, Effect of Environmentally degraded soil on crop yeild: the role of conservation. Ecological Modelling, 86 (1996) 235-240.
[15] J. B. Shukla, B. Dubey, Modelling the depletion and conservation of forestry resource :Effects of population and pollution J. Math Bio.35 (1997a).
[16] J. B. Shukla, H.I. Freedman, V.N. Pal, O.P. Misra, M. Agarwal, A. Shukla, Degradation and subsequent regeneration of a forestry resource: A mathematical model. Ecol. Model. 44 (1989) 219-229. 
[17] P.D.N. Srinivasu, Control of environmental pollution to conserve a population, Non Linear Analysis, RWA 3, (2002) 397-411. 

*Contents are provided by Authors of articles. Please contact us if you having any query.






Bank Details