Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth
Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system,...
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| Autor*in: |
Yang, Yu [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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© The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 111(2022), 6 vom: 10. Dez., Seite 5799-5815 |
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volume:111 ; year:2022 ; number:6 ; day:10 ; month:12 ; pages:5799-5815 |
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10.1007/s11071-022-08114-x |
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| 520 | |a Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. | ||
| 650 | 4 | |a Reaction-diffusion hair growth model | |
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| 650 | 4 | |a Diffusion-driven instability | |
| 650 | 4 | |a Spatially homogeneous periodic solutions | |
| 700 | 1 | |a Ju, Xiaowei |4 aut | |
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10.1007/s11071-022-08114-x doi (DE-627)OLC213381180X (DE-He213)s11071-022-08114-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yang, Yu verfasserin (orcid)0000-0003-4802-0409 aut Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. Reaction-diffusion hair growth model Spatiotemporal patterns Diffusion-driven instability Spatially homogeneous periodic solutions Ju, Xiaowei aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 6 vom: 10. Dez., Seite 5799-5815 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:6 day:10 month:12 pages:5799-5815 https://doi.org/10.1007/s11071-022-08114-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 6 10 12 5799-5815 |
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10.1007/s11071-022-08114-x doi (DE-627)OLC213381180X (DE-He213)s11071-022-08114-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yang, Yu verfasserin (orcid)0000-0003-4802-0409 aut Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. Reaction-diffusion hair growth model Spatiotemporal patterns Diffusion-driven instability Spatially homogeneous periodic solutions Ju, Xiaowei aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 6 vom: 10. Dez., Seite 5799-5815 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:6 day:10 month:12 pages:5799-5815 https://doi.org/10.1007/s11071-022-08114-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 6 10 12 5799-5815 |
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10.1007/s11071-022-08114-x doi (DE-627)OLC213381180X (DE-He213)s11071-022-08114-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yang, Yu verfasserin (orcid)0000-0003-4802-0409 aut Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. Reaction-diffusion hair growth model Spatiotemporal patterns Diffusion-driven instability Spatially homogeneous periodic solutions Ju, Xiaowei aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 6 vom: 10. Dez., Seite 5799-5815 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:6 day:10 month:12 pages:5799-5815 https://doi.org/10.1007/s11071-022-08114-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 6 10 12 5799-5815 |
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10.1007/s11071-022-08114-x doi (DE-627)OLC213381180X (DE-He213)s11071-022-08114-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yang, Yu verfasserin (orcid)0000-0003-4802-0409 aut Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. Reaction-diffusion hair growth model Spatiotemporal patterns Diffusion-driven instability Spatially homogeneous periodic solutions Ju, Xiaowei aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 6 vom: 10. Dez., Seite 5799-5815 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:6 day:10 month:12 pages:5799-5815 https://doi.org/10.1007/s11071-022-08114-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 6 10 12 5799-5815 |
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10.1007/s11071-022-08114-x doi (DE-627)OLC213381180X (DE-He213)s11071-022-08114-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yang, Yu verfasserin (orcid)0000-0003-4802-0409 aut Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. Reaction-diffusion hair growth model Spatiotemporal patterns Diffusion-driven instability Spatially homogeneous periodic solutions Ju, Xiaowei aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2022), 6 vom: 10. Dez., Seite 5799-5815 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2022 number:6 day:10 month:12 pages:5799-5815 https://doi.org/10.1007/s11071-022-08114-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2022 6 10 12 5799-5815 |
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Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth |
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Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract In this paper, we are mainly interested in studying diffusion-driven instability of the bifurcating periodic solution for a diffusive system modeling mammalian hair growth. We say that a periodic solution undergoes diffusion-driven instability, if it is stable with respect to an ODE system, but unstable in the corresponding diffusive system if suitable diffusion rates are to be chosen. Once the diffusion-driven instability of the periodic solution occurs, new and rich spatiotemporal patterns could be generated. For this particular model, we are able to derive precise conditions on the diffusion rates so that under these conditions the periodic solution could experience diffusion-driven instability. Moreover, we also present some numerical simulations to demonstrate our analytical results. © The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Diffusion-driven instability of the periodic solutions for a diffusive system modeling mammalian hair growth |
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Ju, Xiaowei |
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