Search or add a thesis

Advanced Search (Beta)
Home > Mathematical Analysis and Control Strategies of Hiv-1 Infection Models

Mathematical Analysis and Control Strategies of Hiv-1 Infection Models

Thesis Info

Access Option

External Link

Author

Nigar Ali

Program

PhD

Institute

University of Malakand

City

Malakand

Province

KPK

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/10974/3/Nigar%20Ali_Maths_2017_Malakand_2017.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726616051

Similar


In this research, we will present mathematical analysis and optmal control strategies to control the spread of HIV-1 infection. For this, first we will develop a single delayed HIV-1 and discuss the effect of time delay in controlling HIV-1 infection. Once the complete dynamics of single delayed model is studied, we will extend this study to double delayed HIV-1 infection models. Incorporated time delays represent delay in contact process between pathogen virus and CD+4 cells (binding), latent period, virus production period and CTLs response. Then, to study the effect of dose-dependent infection rate in reducing HIV-1 infection, a new model is formulatedanditsstability willbediscussed. Themodelwillbeextendedbyincorporating the effect of recovery rate of unproductively infected cells to uninfected cells. Moreover, in order to reduce HIV-1 infection in the body, optimal control strategies will be developed. The aim of control strategies is to minimize the concentration of infected cells and maximize the concentration of uninfected cells. For this purpose optimal control variables will be incorporated in the proposed HIV-1 infection models with time delays and without time delays. To analyze the dynamical behavior of fractional order HIV-1 infection model, the proposed integer order HIV-1 models will be converted into fractional order model and its solution behavior will be discussed. Finally, to verify the derived theoretical results numerical simulations will be carried out for both integer and fraction order HIV-1 models.
Loading...
Loading...

Similar News

Loading...

Similar Articles

Loading...

Similar Article Headings

Loading...