Stochastic effects on an HIV/AIDS infection model with incomplete diagnosis

2021 ◽  
Vol 152 ◽  
pp. 111344
Author(s):  
Feng Rao ◽  
Junling Luo
Keyword(s):  
Infection Model ◽  
Stochastic Effects ◽  
Hiv Aids

scholarly journals Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative

2018 ◽  
Vol 5 (1) ◽  
pp. 1432521 ◽  
Author(s):  
Samia Bushnaq ◽  
Sajjad Ali Khan ◽  
Kamal Shah ◽  
Gul Zaman ◽  
Fawang Liu
Keyword(s):  
Fractional Derivative ◽  
Mathematical Analysis ◽  
Infection Model ◽  
Hiv Aids

Optimal control of a two-strain tuberculosis-HIV/AIDS co-infection model

Biosystems ◽  
2014 ◽  
Vol 119 ◽  
pp. 20-44 ◽  
Author(s):  
F.B. Agusto ◽  
A.I. Adekunle
Keyword(s):  
Optimal Control ◽  
Infection Model ◽  
Hiv Aids

scholarly journals Numerical investigations of stochastic HIV/AIDS infection model

2021 ◽  
Vol 60 (6) ◽  
pp. 5341-5363
Author(s):  
Zain Ul Abadin Zafar ◽  
Nigar Ali ◽  
Samina Younas ◽  
Sayed F. Abdelwahab ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Infection Model ◽  
Numerical Investigations ◽  
Hiv Aids

scholarly journals A Minimal HIV-AIDS Infection Model with General Incidence Rate and Application to Morocco Data

2019 ◽  
Vol 7 (3) ◽  
Author(s):  
El Mehdi Lotfi ◽  
Marouane Mahrouf ◽  
Mehdi Maziane ◽  
Cristiana J. Silva ◽  
Delfim F. M. Torres ◽  
...  
Keyword(s):  
Incidence Rate ◽  
Infection Model ◽  
General Incidence Rate ◽  
Hiv Aids

MODELING THE EFFECTS OF SCHISTOSOMIASIS ON THE TRANSMISSION DYNAMICS OF HIV/AIDS

2010 ◽  
Vol 18 (02) ◽  
pp. 277-297 ◽  
Author(s):  
C. P. BHUNU ◽  
J. M. TCHUENCHE ◽  
W. GARIRA ◽  
G. MAGOMBEDZE ◽  
S. MUSHAYABASA
Keyword(s):  
Positive Impact ◽  
Transmission Dynamics ◽  
Infection Model ◽  
Asymptotically Stable ◽  
Epidemic Threshold ◽  
Schistosomiasis Control ◽  
Reproduction Numbers ◽  
Manifold Theory ◽  
Disease Free ◽  
Hiv Aids

A schistosomiasis and HIV/AIDS co-infection model is presented as a system of nonlinear ordinary differential equations. Qualitative analysis (properties) of the model are presented. The disease-free equilibrium is shown to be locally asymptotically stable when the associated epidemic threshold known as the basic reproduction number for the model is less than unity. The Centre Manifold theory is used to show that the schistosomiasis only and HIV/AIDS only endemic equilibria are locally asymptotically stable when the associated reproduction numbers are greater than unity. The model is numerically analyzed to assess the effects of schistosomiasis on the dynamics of HIV/AIDS. Analysis of the reproduction numbers and numerical simulations show that an increase of schistosomiasis cases result in an increase of HIV/AIDS cases, suggesting that schistosomiasis control have a positive impact in controlling the transmission dynamics of HIV/AIDS.

scholarly journals A fractional order HIV/AIDS epidemic model with Mittag-Leffler kernel

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Muhammad Aslam ◽  
Rashid Murtaza ◽  
Thabet Abdeljawad ◽  
Ghaus ur Rahman ◽  
Aziz Khan ◽  
...  
Keyword(s):  
Fractional Order ◽  
Existence And Uniqueness ◽  
Lagrange Interpolation ◽  
Infection Model ◽  
Order Model ◽  
Aids Epidemic ◽  
Fractional Order Model ◽  
Fixed Point Technique ◽  
The Stability ◽  
Hiv Aids

AbstractIn this article, we study a fractional order HIV/AIDS infection model with ABC-fractional derivative. The model is based on four classes of a population. The study includes the existence and uniqueness of solution, the stability analysis, and simulations. We utilize the fixed point technique for the existence and uniqueness analysis. The stability of the fractional order model is derived with the help of existing literature for the Hyers–Ulam stability. For the numerical computations, the Lagrange interpolation is utilized, and the simulations are obtained for specific parameters. The results are closer to the classical results for different orders.

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