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August-2018
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Journal of Emerging Technologies and Innovative Research ( An International Scholarly Open Access Journal, Peer-reviewed, Refereed Journal )
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UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975
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JETIR1808039
Registration ID:
183753
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Title
ANALYSIS OF DISCRETE FRACTIONAL ORDER PREY POPULATION SYSTEM WITH ALLEE EFFECT ON PREY POPULATION
Authors
Abstract
This paper investigates the dynamical behavior of a Fractional Order Prey – Predator system in the presence of Allee Effect. A discretization process will be applied to obtain its discrete version. The fixed points and the asymptotic stability are investigated. Also limit cycles and bifurcation diagram is provided for selected range of growth parameter. We also show that the positive fixed point changes from stable to unstable and unstable to stable under the Allee Effect on prey population.
Key Words
Fractional Order, Discretization, Fixed Point, Allee Effect, Local Stability, Limit Cycles, Bifurcations.
Cite This Article
"ANALYSIS OF DISCRETE FRACTIONAL ORDER PREY POPULATION SYSTEM WITH ALLEE EFFECT ON PREY POPULATION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 8, page no.301-306, August-2018, Available :http://www.jetir.org/papers/JETIR1808039.pdf
ISSN
2349-5162 | Impact Factor 7.95 Calculate by Google Scholar
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Cite This Article
"ANALYSIS OF DISCRETE FRACTIONAL ORDER PREY POPULATION SYSTEM WITH ALLEE EFFECT ON PREY POPULATION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 8, page no. pp301-306, August-2018, Available at : http://www.jetir.org/papers/JETIR1808039.pdf
Publication Details
Published Paper ID: JETIR1808039
Registration ID: 183753
Published In: Volume 5 | Issue 8 | Year August-2018
Page No: 301-306
Country: Vellore, TamilNadu, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR1808039
Published Paper PDF: https://www.jetir.org/papers/JETIR1808039
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