An improved model of t cell development in the thymus and its stability analysis
Based on some important experimental dates, in this paper weshall introduce time delays into Mehrs's non-linear differential system modelwhich is used to describe proliferation, differentiation and death of T cells inthe thymus (see, for example, [3], [6], [7] and [9]) and give a revised nonlin...
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| Language: | English |
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AIMS Press
2005-10-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.237 |
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| author | Hongjing Shi Wanbiao Ma |
| author_facet | Hongjing Shi Wanbiao Ma |
| author_sort | Hongjing Shi |
| collection | DOAJ |
| description | Based on some important experimental dates, in this paper weshall introduce time delays into Mehrs's non-linear differential system modelwhich is used to describe proliferation, differentiation and death of T cells inthe thymus (see, for example, [3], [6], [7] and [9]) and give a revised nonlineardifferential system model with time delays. By using some classical analysistechniques of functional differential equations, we also consider local and globalasymptotic stability of the equilibrium and the permanence of the model. |
| format | Article |
| id | doaj-art-c568324d436c45e28d766e375d653bf9 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c568324d436c45e28d766e375d653bf92025-01-24T01:51:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-10-013123724810.3934/mbe.2006.3.237An improved model of t cell development in the thymus and its stability analysisHongjing Shi0Wanbiao Ma1Department of Mathematics and Mechanics, Applied Science College, University of Science and Technology Beijing, Beijing 100083Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083Based on some important experimental dates, in this paper weshall introduce time delays into Mehrs's non-linear differential system modelwhich is used to describe proliferation, differentiation and death of T cells inthe thymus (see, for example, [3], [6], [7] and [9]) and give a revised nonlineardifferential system model with time delays. By using some classical analysistechniques of functional differential equations, we also consider local and globalasymptotic stability of the equilibrium and the permanence of the model.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.237time delaytranscendental equationt cellspermanence.stabilityquasi-steady-state approximation |
| spellingShingle | Hongjing Shi Wanbiao Ma An improved model of t cell development in the thymus and its stability analysis Mathematical Biosciences and Engineering time delay transcendental equation t cells permanence. stability quasi-steady-state approximation |
| title | An improved model of t cell development in the thymus and its stability analysis |
| title_full | An improved model of t cell development in the thymus and its stability analysis |
| title_fullStr | An improved model of t cell development in the thymus and its stability analysis |
| title_full_unstemmed | An improved model of t cell development in the thymus and its stability analysis |
| title_short | An improved model of t cell development in the thymus and its stability analysis |
| title_sort | improved model of t cell development in the thymus and its stability analysis |
| topic | time delay transcendental equation t cells permanence. stability quasi-steady-state approximation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.237 |
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