扩散霍林-坦纳猎物-捕食者模型的对称性和精确解

arXiv - PHYS - Mathematical Physics Pub Date : 2024-02-29 DOI:arxiv-2402.19098

Roman Cherniha, Vasyl' Davydovych

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引用次数: 0

摘要

我们考虑通过引入扩散项在一维空间上扩展经典霍林-坦纳模型。通过合理的简化，我们用基于对称性的方法研究了扩散霍林-坦纳系统。所获得的对称性被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。最有趣的解的三维图也被淹没了。

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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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arXiv - PHYS - Mathematical Physics

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