Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917600983777280 |
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| author | Cherniha, Roman Davydovych, Vasyl' |
| author_facet | Cherniha, Roman Davydovych, Vasyl' |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19098 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model Cherniha, Roman Davydovych, Vasyl' Mathematical Physics 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. |
| title | Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2402.19098 |