Theoretical and numerical bifurcation analysis of a predator-prey system with ratio-dependence

被引：9
作者：
Eskandari, Z. [1 ]
Avazzadeh, Z. [2 ]
Ghaziani, R. Khoshsiar [3 ]
机构：
[1] Fasa Univ, Fac Sci, Dept Math, Fasa, Iran
[2] Univ South Africa, Dept Math Sci, Florida, South Africa
[3] Shahrekord Univ, Dept Math Sci, Shahrekord, Iran
来源：
MATHEMATICAL SCIENCES | 2024年 / 18卷 / 02期
关键词：
The ratio-dependence model; Normal form coefficient; Bifurcation; Chaos; Numerical continuation; NEIMARK-SACKER BIFURCATION; PERIODIC-SOLUTIONS; DISCRETE; STABILITY; DYNAMICS; MODEL; CHAOS;
D O I：
10.1007/s40096-022-00494-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a two-dimensional discrete-time ratio-dependence predator-prey model. The discrete-time ratio-dependence predator-prey model exhibits the period-doubling, Neimark-Sacker, and strong resonance bifurcations. Based on the critical coefficients, it can be determined which scenario corresponds to each bifurcation. This paper investigates the complex dynamics of the model numerically by using MatcotM which is a MATLAB package.
引用
收藏
页码：205 / 216
页数：12
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