Global solution and blow-up for the SKT model in Population Dynamics
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866907898614906880 |
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| author | Belkhamsa, Ichraf Souilah, Messaoud |
| author_facet | Belkhamsa, Ichraf Souilah, Messaoud |
| contents | In this paper, we prove the existence and uniqueness of the global solution to the reaction diffusion system SKT with homogeneous Newmann boundary conditions. We use the lower and upper solution method and its associated monotone iterations where the reaction functions are locally Lipschitz .We study the blowing-up property of the solution, we give a sufficient condition on the reaction parameters of the model to ensure the blow-up of the solution continuous functions spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_06045 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global solution and blow-up for the SKT model in Population Dynamics Belkhamsa, Ichraf Souilah, Messaoud Analysis of PDEs Dynamical Systems In this paper, we prove the existence and uniqueness of the global solution to the reaction diffusion system SKT with homogeneous Newmann boundary conditions. We use the lower and upper solution method and its associated monotone iterations where the reaction functions are locally Lipschitz .We study the blowing-up property of the solution, we give a sufficient condition on the reaction parameters of the model to ensure the blow-up of the solution continuous functions spaces. |
| title | Global solution and blow-up for the SKT model in Population Dynamics |
| topic | Analysis of PDEs Dynamical Systems |
| url | https://arxiv.org/abs/2306.06045 |