Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences
We study the global stability of within-host Chikungunya virus (CHIKV) infection models with antibodies. We incorporate two modes of infections, attaching a CHIKV to a host monocyte, and contacting an infected monocyte with an uninfected monocyte. The CHIKV-monocyte and infected-monocyte incidence r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2019-02-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5085804 |
| _version_ | 1817982604583895040 |
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| author | A. M. Elaiw S. E. Almalki A. D. Hobiny |
| author_facet | A. M. Elaiw S. E. Almalki A. D. Hobiny |
| author_sort | A. M. Elaiw |
| collection | DOAJ |
| description | We study the global stability of within-host Chikungunya virus (CHIKV) infection models with antibodies. We incorporate two modes of infections, attaching a CHIKV to a host monocyte, and contacting an infected monocyte with an uninfected monocyte. The CHIKV-monocyte and infected-monocyte incidence rates are given by saturation. In the second model we consider two classes of infected monocytes, latently infected monocytes and actively infected monocytes. The global stability analysis of the equilibria are established using Lyapunov method. We support our theoretical results by numerical simulations. |
| first_indexed | 2024-04-13T23:22:48Z |
| format | Article |
| id | doaj.art-b60b240686b44f2e9b4d94d59128b93d |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-13T23:22:48Z |
| publishDate | 2019-02-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-b60b240686b44f2e9b4d94d59128b93d2022-12-22T02:25:11ZengAIP Publishing LLCAIP Advances2158-32262019-02-0192025308025308-1210.1063/1.5085804039902ADVStability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidencesA. M. Elaiw0S. E. Almalki1A. D. Hobiny2Department 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 ArabiaWe study the global stability of within-host Chikungunya virus (CHIKV) infection models with antibodies. We incorporate two modes of infections, attaching a CHIKV to a host monocyte, and contacting an infected monocyte with an uninfected monocyte. The CHIKV-monocyte and infected-monocyte incidence rates are given by saturation. In the second model we consider two classes of infected monocytes, latently infected monocytes and actively infected monocytes. The global stability analysis of the equilibria are established using Lyapunov method. We support our theoretical results by numerical simulations.http://dx.doi.org/10.1063/1.5085804 |
| spellingShingle | A. M. Elaiw S. E. Almalki A. D. Hobiny Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences AIP Advances |
| title | Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences |
| title_full | Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences |
| title_fullStr | Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences |
| title_full_unstemmed | Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences |
| title_short | Stability of CHIKV infection models with CHIKV-monocyte and infected-monocyte saturated incidences |
| title_sort | stability of chikv infection models with chikv monocyte and infected monocyte saturated incidences |
| url | http://dx.doi.org/10.1063/1.5085804 |
| work_keys_str_mv | AT amelaiw stabilityofchikvinfectionmodelswithchikvmonocyteandinfectedmonocytesaturatedincidences AT sealmalki stabilityofchikvinfectionmodelswithchikvmonocyteandinfectedmonocytesaturatedincidences AT adhobiny stabilityofchikvinfectionmodelswithchikvmonocyteandinfectedmonocytesaturatedincidences |