Stability and Hopf Bifurcation in a HIV-1 System with Multitime Delays
| العنوان: | Stability and Hopf Bifurcation in a HIV-1 System with Multitime Delays |
|---|---|
| المؤلفون: | Haihong Liu, Fang Yan, Lingyan Zhao |
| المصدر: | International Journal of Bifurcation and Chaos. 25:1550132 |
| بيانات النشر: | World Scientific Pub Co Pte Lt, 2015. |
| سنة النشر: | 2015 |
| مصطلحات موضوعية: | Hopf bifurcation, Time delays, Applied Mathematics, Human immunodeficiency virus (HIV), medicine.disease_cause, Stability (probability), Biological applications of bifurcation theory, symbols.namesake, Control theory, Modeling and Simulation, symbols, medicine, Positive equilibrium, Engineering (miscellaneous), Mathematics |
| الوصف: | In this paper, we propose a mathematical model for HIV-1 infection with three time delays. The model examines a viral-therapy for controlling infections by using an engineered virus to selectively eliminate infected cells. In our model, three time delays represent the latent period of pathogen virus, pathogen virus production period and recombinant (genetically modified) virus production period, respectively. Detailed theoretical analysis have demonstrated that the values of three delays can affect the stability of equilibrium solutions, can also lead to Hopf bifurcation and oscillated solutions of the system. Moreover, we give the conditions for the existence of stable positive equilibrium solution and Hopf bifurcation. Further, the properties of Hopf bifurcation are discussed. These theoretical results indicate that the delays play an important role in determining the dynamic behavior quantitatively. Therefore, it is a fact that delays are very important, which should not be missed in controlling HIV-1 infections. |
| تدمد: | 1793-6551 0218-1274 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::ac022d53e18ead260848e1321f83b131Test https://doi.org/10.1142/s0218127415501321Test |
| رقم الانضمام: | edsair.doi...........ac022d53e18ead260848e1321f83b131 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17936551 02181274 |
|---|