扩散Holling-Tanner捕食-捕食模型的对称性和精确解

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED Acta Applicandae Mathematicae Pub Date : 2023-09-06 DOI:10.1007/s10440-023-00600-7

Roman Cherniha, Vasyl’ Davydovych

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引用次数: 0

摘要

通过引入扩散项，研究了一维空间上经典Holling-Tanner模型的扩展。通过对扩散性Holling-Tanner系统的合理简化，采用基于对称的方法对其进行了研究。Lie和\(Q\) -条件(非经典)对称性被识别。所得到的对称性应用于寻找广泛的精确解，研究了它们的性质，并提出了可能的生物学解释。最有趣的3D解决方案也被淹没了。

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Symmetries and Exact Solutions of the Diffusive Holling–Tanner Prey-Predator Model

We consider the classical Holling–Tanner model extended on 1D space by introducing the diffusion term. Making a reasonable simplification, the diffusive Holling–Tanner system is studied by means of symmetry based methods. Lie and \(Q\)-conditional (nonclassical) symmetries are identified. The symmetries obtained are applied for finding a wide range of exact solutions, their properties are studied and a possible biological interpretation is proposed. 3D plots of the most interesting solutions are drown as well.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.

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