Global Stability of HIV-1 Infection Model with Two Time Delays
We investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two time delays describing time needed for infection of cell and CTLs generation. Our model admits three possible equilibria: infection-free equilibrium, CTL-...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/163484 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551394532392960 |
|---|---|
| author | Hui Miao Xamxinur Abdurahman Ahmadjan Muhammadhaji |
| author_facet | Hui Miao Xamxinur Abdurahman Ahmadjan Muhammadhaji |
| author_sort | Hui Miao |
| collection | DOAJ |
| description | We investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two time delays describing time needed for infection of cell and CTLs generation. Our model admits three possible equilibria: infection-free equilibrium, CTL-absent infection equilibrium, and CTL-present infection equilibrium. The effect of time delay on stability of the equilibria of the CTL immune response model has been studied. |
| format | Article |
| id | doaj-art-5afd8615a02e4e38b413ad9b564d1bef |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5afd8615a02e4e38b413ad9b564d1bef2025-02-03T06:01:34ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/163484163484Global Stability of HIV-1 Infection Model with Two Time DelaysHui Miao0Xamxinur Abdurahman1Ahmadjan Muhammadhaji2College of Mathematics and System Science, Xinjiang University, Xinjiang, Urumqi 830046, ChinaCollege of Mathematics and System Science, Xinjiang University, Xinjiang, Urumqi 830046, ChinaCollege of Mathematics and System Science, Xinjiang University, Xinjiang, Urumqi 830046, ChinaWe investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two time delays describing time needed for infection of cell and CTLs generation. Our model admits three possible equilibria: infection-free equilibrium, CTL-absent infection equilibrium, and CTL-present infection equilibrium. The effect of time delay on stability of the equilibria of the CTL immune response model has been studied.http://dx.doi.org/10.1155/2013/163484 |
| spellingShingle | Hui Miao Xamxinur Abdurahman Ahmadjan Muhammadhaji Global Stability of HIV-1 Infection Model with Two Time Delays Abstract and Applied Analysis |
| title | Global Stability of HIV-1 Infection Model with Two Time Delays |
| title_full | Global Stability of HIV-1 Infection Model with Two Time Delays |
| title_fullStr | Global Stability of HIV-1 Infection Model with Two Time Delays |
| title_full_unstemmed | Global Stability of HIV-1 Infection Model with Two Time Delays |
| title_short | Global Stability of HIV-1 Infection Model with Two Time Delays |
| title_sort | global stability of hiv 1 infection model with two time delays |
| url | http://dx.doi.org/10.1155/2013/163484 |
| work_keys_str_mv | AT huimiao globalstabilityofhiv1infectionmodelwithtwotimedelays AT xamxinurabdurahman globalstabilityofhiv1infectionmodelwithtwotimedelays AT ahmadjanmuhammadhaji globalstabilityofhiv1infectionmodelwithtwotimedelays |