Global stability for the prion equation with general incidence
We consider the so-called prion equation with the general incidence term introduced in [14], and we investigate the stability of the steady states.The method is based on the reduction technique introduced in [11].The argument combines a recent spectral gap result for the growth-fragmentation equatio...
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.789 |
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| author | Pierre Gabriel |
| author_facet | Pierre Gabriel |
| author_sort | Pierre Gabriel |
| collection | DOAJ |
| description | We consider the so-called prion equation with the general incidence term introduced in [14], and we investigate the stability of the steady states.The method is based on the reduction technique introduced in [11].The argument combines a recent spectral gap result for the growth-fragmentation equation in weighted $L^1$ spaces and the analysis of a nonlinear system of three ordinary differential equations. |
| format | Article |
| id | doaj-art-c0551686d12e4ffb8f1925e92fff813f |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c0551686d12e4ffb8f1925e92fff813f2025-01-24T02:32:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-03-0112478980110.3934/mbe.2015.12.789Global stability for the prion equation with general incidencePierre Gabriel0Laboratoire de Mathématiques de Versailles, CNRS UMR 8100, Université de Versailles Saint-Quentin-en-Yvelines, 45 Avenue de États-Unis, 78035 Versailles cedexWe consider the so-called prion equation with the general incidence term introduced in [14], and we investigate the stability of the steady states.The method is based on the reduction technique introduced in [11].The argument combines a recent spectral gap result for the growth-fragmentation equation in weighted $L^1$ spaces and the analysis of a nonlinear system of three ordinary differential equations.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.789growth-fragmentation equationself-similarityspectral gapprion equationlong-time behaviorstability. |
| spellingShingle | Pierre Gabriel Global stability for the prion equation with general incidence Mathematical Biosciences and Engineering growth-fragmentation equation self-similarity spectral gap prion equation long-time behavior stability. |
| title | Global stability for the prion equation with general incidence |
| title_full | Global stability for the prion equation with general incidence |
| title_fullStr | Global stability for the prion equation with general incidence |
| title_full_unstemmed | Global stability for the prion equation with general incidence |
| title_short | Global stability for the prion equation with general incidence |
| title_sort | global stability for the prion equation with general incidence |
| topic | growth-fragmentation equation self-similarity spectral gap prion equation long-time behavior stability. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.789 |
| work_keys_str_mv | AT pierregabriel globalstabilityfortheprionequationwithgeneralincidence |