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A mathematical and sensitivity analysis of an HIV/AIDS infection model Cover

A mathematical and sensitivity analysis of an HIV/AIDS infection model

Open Access
|Jun 2024

Figures & Tables

Fig. 1

PRCC sensitivity indices of model parameters on ℛ0.
PRCC sensitivity indices of model parameters on ℛ0.

Fig. 2

Solutions behavior of model (2) at ℛ0 < 1.
Solutions behavior of model (2) at ℛ0 < 1.

Fig. 3

Solutions behavior of model (2) at ℛ0 > 1.
Solutions behavior of model (2) at ℛ0 > 1.

Fig. 4

Susceptible individuals
Susceptible individuals

Fig. 5

Protected individuals
Protected individuals

Fig. 6

Infected individuals
Infected individuals

Fig. 7

Treated individuals
Treated individuals

Fig. 8

Transmission rate against HIV/AIDS infected individuals.
Transmission rate against HIV/AIDS infected individuals.

Fig. 9

Treatment rate against HIV/AIDS infected individuals.
Treatment rate against HIV/AIDS infected individuals.

Interpretation of state variables and parameters for the HIV/AIDS model (2)_

CompartmentDescription

𝒮Susceptible individuals
𝒮PHIV/AIDS Protected individuals
Individuals infected with HIV/AIDS
𝒯Individuals treated with HIV/AIDS

Forward normalized sensitivity indices_

ParametersIndices

β+1
α+0.12603
π−1.1703
μ−0.085673
d−0.38525
γ−0.20492

Numerical values for parameters of model (2)_

ParametersParameters valueSource

Δ3.2millions humans/day[34]
π0.5813/dayAssume
α0.039/dayAssume
μ0.5/day[34]
d0.47/day[34]
γ0.25/day[35]
β0.4325/day[36]
Language: English
Page range: 35 - 46
Submitted on: Jul 25, 2023
Accepted on: Jan 1, 2024
Published on: Jun 2, 2024
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2024 Idris Ahmed, Jessada Tariboon, Mubarak Muhammad, Muhammad Jamilu Ibrahim, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.