离散时间猎物-捕食者模型的丰富动力学

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.4186

Z. Eskandari, R. K. Ghaziani, Z. Avazzadeh

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引用次数: 0

摘要

．采用非标准有限差分方法对捕食-捕食模型进行离散化，研究了单参数和双参数分岔的临界范式系数。离散时间捕食者-猎物模型表现出多种局部分岔，如周期加倍、内马克-萨克和强共振。确定了临界范式系数，揭示了各分岔点分岔所对应的动力情景。基于数值延拓技术，利用ATLAB软件对模型的复杂动力学特性进行了数值研究。

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Rich dynamics of a discrete-time prey-predator model

. A newly-disclosed non-standard ﬁnite difference method has been used to discretize a prey-predator model to investigate the critical normal form coefﬁcients of bifurcations for both one-parameter and two-parameter bifurcations. The discrete-time prey-predator model exhibits variety of local bifurcations such as period-doubling, Neimark-Sacker, and strong resonances. Critical normal form coefﬁcients are determined to reveal dynamical scenario corresponding to each bifurcation point bifurcation. We also investigates the complex dynamics of the model numerically using by M ATLAB package M ATCONT M based on numerical continuation technique.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.