Global properties of latent virus dynamics with B-cell impairment
In this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models ad...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2019-09-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5108890 |
| _version_ | 1819122960720461824 |
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| author | A. M. Elaiw S. F. Alshehaiween A. D. Hobiny I. A. Abbas |
| author_facet | A. M. Elaiw S. F. Alshehaiween A. D. Hobiny I. A. Abbas |
| author_sort | A. M. Elaiw |
| collection | DOAJ |
| description | In this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models admits two equilibria which are determined by the basic reproduction number R0. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle’s invariance principle. The theoretical results are illustrated by numerical simulations. |
| first_indexed | 2024-12-22T07:00:46Z |
| format | Article |
| id | doaj.art-109c39f73a5d4f08bc1613944419bdeb |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-22T07:00:46Z |
| publishDate | 2019-09-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-109c39f73a5d4f08bc1613944419bdeb2022-12-21T18:34:49ZengAIP Publishing LLCAIP Advances2158-32262019-09-0199095035095035-1510.1063/1.5108890058909ADVGlobal properties of latent virus dynamics with B-cell impairmentA. M. Elaiw0S. F. Alshehaiween1A. D. Hobiny2I. A. Abbas3Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models admits two equilibria which are determined by the basic reproduction number R0. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle’s invariance principle. The theoretical results are illustrated by numerical simulations.http://dx.doi.org/10.1063/1.5108890 |
| spellingShingle | A. M. Elaiw S. F. Alshehaiween A. D. Hobiny I. A. Abbas Global properties of latent virus dynamics with B-cell impairment AIP Advances |
| title | Global properties of latent virus dynamics with B-cell impairment |
| title_full | Global properties of latent virus dynamics with B-cell impairment |
| title_fullStr | Global properties of latent virus dynamics with B-cell impairment |
| title_full_unstemmed | Global properties of latent virus dynamics with B-cell impairment |
| title_short | Global properties of latent virus dynamics with B-cell impairment |
| title_sort | global properties of latent virus dynamics with b cell impairment |
| url | http://dx.doi.org/10.1063/1.5108890 |
| work_keys_str_mv | AT amelaiw globalpropertiesoflatentvirusdynamicswithbcellimpairment AT sfalshehaiween globalpropertiesoflatentvirusdynamicswithbcellimpairment AT adhobiny globalpropertiesoflatentvirusdynamicswithbcellimpairment AT iaabbas globalpropertiesoflatentvirusdynamicswithbcellimpairment |