Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929234358829056 |
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| author | Costa, M. A. V. Carranza, Y. B. C. Morales-Rodrigo, C. Suarez, A. |
| author_facet | Costa, M. A. V. Carranza, Y. B. C. Morales-Rodrigo, C. Suarez, A. |
| contents | In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living nutrient, whose diffusion depends on the population of the bacteria in a non-local and nonlinear way. Mainly, we employ bifurcation methods and the Implicit Function Theorem to obtain the existence and uniqueness of positive solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient Costa, M. A. V. Carranza, Y. B. C. Morales-Rodrigo, C. Suarez, A. Analysis of PDEs In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living nutrient, whose diffusion depends on the population of the bacteria in a non-local and nonlinear way. Mainly, we employ bifurcation methods and the Implicit Function Theorem to obtain the existence and uniqueness of positive solution. |
| title | Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.02912 |