Volume 7, Issue 4 (Vol. 7,No. 4, 2021)
mmr 2021, 7(4): 699-713 |
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Akrami M H. Bifurcation and chaos in a discrete mutualism model with proportional harvesting rate. mmr 2021; 7 (4) :699-713
URL: http://mmr.khu.ac.ir/article-1-2933-en.html
URL: http://mmr.khu.ac.ir/article-1-2933-en.html
Department of Mathematics, Yazd University , akrami@yazd.ac.ir
Abstract: (718 Views)
In this paper, we use the Euler method to introduce a discrete mutualism model with proportional harvesting rate and analyze its dynamics. Using the center manifold theorem, we show that the model is subjected to a period-doubling bifurcation. Also, using the Maximal Lyapunov exponent, we show that the model is chaotic and then use the feedback control method to control the chaos in this model.
Type of Study: Original Manuscript |
Subject:
alg
Received: 2019/04/8 | Revised: 2023/06/18 | Accepted: 2020/01/22 | Published: 2022/03/29 | ePublished: 2022/03/29
Received: 2019/04/8 | Revised: 2023/06/18 | Accepted: 2020/01/22 | Published: 2022/03/29 | ePublished: 2022/03/29
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