This article studies a discrete-time Leslie-Gower two predator-one prey system with Michaelis-Menten type prey harvesting. Positivity and boundedness of the model solution are investigated. Existence and stability of fixed points are examined. Using an iteration scheme and the comparison principle of difference equations, we find out the sufficient condition for global stability of the positive fixed point. It is shown that the sufficient criterion for Neimark-Sacker bifurcation can be developed. It is observed that the system behaves in a chaotic manner when a specific set of system parameters is chosen, which are regulated by a hybrid control method. Examples are provided to illustrate our conclusions.
Predator-prey model Leslie-Gower Michaelis-Menten type prey harvesting stability bifurcation chaos control
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 31 Mart 2023 |
Gönderilme Tarihi | 6 Eylül 2022 |
Kabul Tarihi | 29 Mart 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 6 Sayı: 1 |
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