Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment
In this paper, we propose an HIV model with latent reservoir, delayed CTL immune response and immune impairment in which both virus-to-cell infection and cell-to-cell viral transmission are considered. By using Lyapunov functionals and LaSalle’s invariance principle, it is verified that when time d...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2022-11-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29615 |
| _version_ | 1811243418086539264 |
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| author | Liru Zhang Rui Xu |
| author_facet | Liru Zhang Rui Xu |
| author_sort | Liru Zhang |
| collection | DOAJ |
| description |
In this paper, we propose an HIV model with latent reservoir, delayed CTL immune response and immune impairment in which both virus-to-cell infection and cell-to-cell viral transmission are considered. By using Lyapunov functionals and LaSalle’s invariance principle, it is verified that when time delay is equal to zero, the global threshold dynamics of the model is determined by the basic reproduction ratio. With the help of uniform persistence theory for infinite dimensional systems, we obtain the uniform persistence when the basic reproduction ratio is greater than unity. By choosing time delay as a bifurcation parameter and analyzing the corresponding characteristic equation of the system, we establish the existence of Hopf bifurcation at the chronic-infection equilibrium. Numerical simulations are carried out to illustrate the corresponding theoretical results.
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| first_indexed | 2024-04-12T14:07:05Z |
| format | Article |
| id | doaj.art-ea982aa84022440e96da8fd6b5c20611 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-12T14:07:05Z |
| publishDate | 2022-11-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-ea982aa84022440e96da8fd6b5c206112022-12-22T03:30:03ZengVilnius University PressNonlinear Analysis1392-51132335-89632022-11-012810.15388/namc.2023.28.29615Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairmentLiru Zhang0Rui Xu1Shanxi UniversityShanxi University In this paper, we propose an HIV model with latent reservoir, delayed CTL immune response and immune impairment in which both virus-to-cell infection and cell-to-cell viral transmission are considered. By using Lyapunov functionals and LaSalle’s invariance principle, it is verified that when time delay is equal to zero, the global threshold dynamics of the model is determined by the basic reproduction ratio. With the help of uniform persistence theory for infinite dimensional systems, we obtain the uniform persistence when the basic reproduction ratio is greater than unity. By choosing time delay as a bifurcation parameter and analyzing the corresponding characteristic equation of the system, we establish the existence of Hopf bifurcation at the chronic-infection equilibrium. Numerical simulations are carried out to illustrate the corresponding theoretical results. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29615latent reservoircell-to-cell transmissiondelayed CTL immune responseimmune impairmentstabilityHopf bifurcation |
| spellingShingle | Liru Zhang Rui Xu Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment Nonlinear Analysis latent reservoir cell-to-cell transmission delayed CTL immune response immune impairment stability Hopf bifurcation |
| title | Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment |
| title_full | Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment |
| title_fullStr | Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment |
| title_full_unstemmed | Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment |
| title_short | Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment |
| title_sort | dynamics analysis of an hiv infection model with latent reservoir delayed ctl immune response and immune impairment |
| topic | latent reservoir cell-to-cell transmission delayed CTL immune response immune impairment stability Hopf bifurcation |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29615 |
| work_keys_str_mv | AT liruzhang dynamicsanalysisofanhivinfectionmodelwithlatentreservoirdelayedctlimmuneresponseandimmuneimpairment AT ruixu dynamicsanalysisofanhivinfectionmodelwithlatentreservoirdelayedctlimmuneresponseandimmuneimpairment |