Dynamical behaviors of fractional-order Lotka–Volterra predator–prey model and its discretization

被引：134
|
作者：
Elsadany A.A. [1 ,2 ]
Matouk A.E. [3 ]
机构：
[1] Department of Basic Science, Suez Canal University, Ismailia
[2] Department of Mathematics, Shanghai University, Shanghai
[3] Mathematics Department, Hail University, Hail
来源：
Journal of Applied Mathematics and Computing | 2015年 / 49卷 / 1-2期
关键词：
Bifurcations; Chaos; Discretization; Fractional-order; Lotka–Volterra predator–prey system;
D O I：
10.1007/s12190-014-0838-6
中图分类号：
学科分类号：
摘要：
In this work, we study the dynamical behaviors of fractional-order Lotka–Volterra predator–prey system and its discretized counterpart. It is shown that the discretized system exhibits much richer dynamical behaviors than its corresponding fractional-order form; in the discretized system, many types of bifurcations (transcritical, flip, Neimark–Sacker) and chaos are obtained however the dynamics of fractional-order counterpart is included only stable (unstable) equilibria. Numerical simulations are used to verify the correctness of the analytical results. © 2014, Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：269 / 283
页数：14
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