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A Mathematical Model on Chain Of Competitions in Different Trophic Levels
Nabajyoti Bhattacharjee1
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.3 , pp.91-93, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i3.9193
Online published on Jun 30, 2019
Copyright © Nabajyoti Bhattacharjee . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Nabajyoti Bhattacharjee, “A Mathematical Model on Chain Of Competitions in Different Trophic Levels,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.91-93, 2019.
MLA Style Citation: Nabajyoti Bhattacharjee "A Mathematical Model on Chain Of Competitions in Different Trophic Levels." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 91-93.
APA Style Citation: Nabajyoti Bhattacharjee, (2019). A Mathematical Model on Chain Of Competitions in Different Trophic Levels. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 91-93.
BibTex Style Citation:
@article{Bhattacharjee_2019,
author = {Nabajyoti Bhattacharjee},
title = {A Mathematical Model on Chain Of Competitions in Different Trophic Levels},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {91-93},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1328},
doi = {https://doi.org/10.26438/ijcse/v6i3.9193}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.9193}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1328
TI - A Mathematical Model on Chain Of Competitions in Different Trophic Levels
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Nabajyoti Bhattacharjee
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 91-93
IS - 3
VL - 6
SN - 2347-2693
ER -
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Abstract :
In this paper we shall consider a sequence of trophic levels and obtain a recurrence for the total biomass production in each trophic level consisting of exactly two species competing for resource in its immediate lower trophic level and prove that if the consumption factor of both the species in each trophic level is same and the consumption factor at each trophic level forms a strictly decreasing sequence and all are greater than one, then biomass production at each trophic level forms a strictly decreasing sequence of total biomass production starting from lowest trophic level.
Key-Words / Index Term :
Mathematical modelling, Competition, Trophic level, Superiority factor, chain of competition
References :
[1]. N. Bhattacharjee, Bio-Mathematical Model on Competition between Two Species, IJMAA, Vol. 5, 3-A(2017), pp-69-83, 2017.
[2]. J. H. Connell, The influence of interspecific competition and other factors on the distribution of the barnacle Chthamalus stellatus, JSTOR, Vol. 42, No. 4, 1961.
[3]. P. L. Munday, G. P. Jones, M. J. Caley, Interspecific Competition and Coexistence in a guild of Coral-Dwelling Fishes, Ecological Society of America, 82(8), pp-2177-2189, 2001.
[4]. D. E. Goldberg, A. M. Barton, Patterns and Consequences of Interspecific Competition in Natural Communities: A Review of Field Experiments with Plants , The American Naturalist, 139(4), pp-771-801, 1992
[5]. Lindeman, RL, The trophic-dynamic aspect of ecology, Ecology, 23, pp-399-418, 1942
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