Bifurcation and chaos in a discrete mutualism model with proportional harvesting rate

Author
Department of Mathematics, Yazd University
Abstract
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.
Keywords

[۱]‎‌‎ الایدی، صابر، آشوب گسسته با کاربردهایی در علوم و مهندسی‌، مترجمین: محمدحسین اکرمی و رسول کاظمی‌، انتشارات دانشگاه یزد، (۱۳۹۵).

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