This paper analyses a discrete-time Michaelis-Menten type harvested fishery model in the presence of toxicity. Boundary and interior (positive) fixed points are examined. Using an iteration scheme and the comparison principle of difference equations, we determined the sufficient condition for global stability of the interior fixed point. It is shown that the sufficient criterion for Neimark-Sacker bifurcation and flip bifurcation can be established. It is observed that the system behaves in a chaotic manner when a specific set of system parameters is selected, which are controlled by a hybrid control method. Examples are cited to illustrate our conclusions.
Bifurcation Chaos control Global stability Michaelis-Menten type harvesting Toxicity
Birincil Dil | İngilizce |
---|---|
Konular | Matematik, Uygulamalı Matematik (Diğer) |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 7 Ağustos 2023 |
Gönderilme Tarihi | 19 Eylül 2022 |
Kabul Tarihi | 17 Mart 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 6 Sayı: 2 |
Journal of Mathematical Sciences and Modelling
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