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A Mathematical Model to Study the Growth of Dominant Herbivores

Nabajyoti Bhattacharjee1

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.3 , pp.31-34, Jun-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i3.3134


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 to Study the Growth of Dominant Herbivores,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.31-34, 2019.

MLA Style Citation: Nabajyoti Bhattacharjee "A Mathematical Model to Study the Growth of Dominant Herbivores." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 31-34.

APA Style Citation: Nabajyoti Bhattacharjee , (2019). A Mathematical Model to Study the Growth of Dominant Herbivores. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 31-34.

BibTex Style Citation:
@article{Bhattacharjee_2019,
author = {Nabajyoti Bhattacharjee },
title = {A Mathematical Model to Study the Growth of Dominant Herbivores},
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 = {31-34},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1320},
doi = {https://doi.org/10.26438/ijcse/v6i3.3134}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.3134}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1320
TI - A Mathematical Model to Study the Growth of Dominant Herbivores
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 - 31-34
IS - 3
VL - 6
SN - 2347-2693
ER -

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Abstract :
The National Parks, Wildlife Reservoir and Sanctuary are declared to save some specific species from extinction in that region. But due to ecological and social disturbances the growth rate of rhinoceros gets affected and consequently their number reduces from the actual number. In this paper, we shall construct a mathematical model to describe the growth rate of a dominant herbivore species like rhinoceros and elephant to study and investigate graphically the effect of both ecological(natural birth and death, intraspecific, interspecific competition) and social(poachers) disturbances in the growth of that species in that region and in a given period of time.

Key-Words / Index Term :
Mathematical modelling, Difference equation, Population dynamics, Poaching, Competition, Predation

References :
[1] 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.
[2] L. L. Eberhardt, J. M. Breiwick, “Models for Population Growth Curves”, ISRN Ecology, Vol. 2012, 2011
[3] 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
[4] Report on the regional meeting for India and Nepal IUCN/SSC Asian Rhino Specialist Group, Kaziranga National Park, Assam, India, 2007.
[5] “Note on Mathematicals in Biology”, University of Kwazulu-Natal, Durban
[6] Lindeman, RL, “The trophic-dynamic aspect of ecology”, Ecology, 23(1942), pp-399-418, 1942
[7] 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.
[8] AN Tsoularis, J. Wallace, “Analysis of Logistic Growth Models”, Mathematical Bioscience, 179(1), pp-21-55, 2002.
[9] AN TsoularisN, J. Wallace, “A Markov chain model of predator-model-mimic interactions”, Journal of Biological Systems, 13(03), 2011.
[10] V. Volterra, “Variations and flucuations of the number of individuals in animal species living together in animal ecology”, Chapman, R. N.,McGraw-Hill, 1931.

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