Conformable Fractional Order Lotka-Volterra Predator-Prey Model: Discretization, Stability and Bifurcation

被引：9
|
作者：
Gurcan, Fuat [1 ]
Kaya, Guven [2 ]
Kartal, Senol [3 ]
机构：
[1] Kuwait Univ, Fac Sci, Dept Math, Safat 13060, Kuwait
[2] Bingol Univ, Fac Arts & Sci, Dept Math, TR-12000 Bingol, Turkey
[3] Nevsehir Haci Bektas Veli Univ, Fac Educ, Dept Sci & Math Educ, TR-50300 Nevsehir, Turkey
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2019年 / 14卷 / 11期
关键词：
Lotka-Volterra predator-prey system; conformable fractional derivative; discretization; stability; Neimark-Sacker bifurcation; DIFFERENTIAL-EQUATIONS; GLOBAL STABILITY;
D O I：
10.1115/1.4044313
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The purpose of this study is to discuss dynamic behaviors of conformable fractional-order Lotka-Volterra predator-prey system. First of all, the piecewise constant approximation is used to obtain the discretize version of the model then, we investigate stability, existence, and direction of Neimark-Sacker bifurcation of the positive equilibrium point of the discrete system. It is observed that the discrete system shows much richer dynamic behaviors than its fractional-order form such as Neimark-Sacker bifurcation and chaos. Finally, numerical simulations are used to demonstrate the accuracy of analytical results.
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页数：9
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