Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage

Bachraoui, Moussa; Hattaf, Khalid; Yousfi, Noura

doi:10.46298/arima.4359

Cited by 2 publications

(2 citation statements)

References 16 publications

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“…HIV within-host models have received great attention and lead to the significant results. These models were formulated using ordinary differential equations (ODEs) [19][20][21][22][23], delay differential equations (DDEs) [24][25][26][27], partial differential equations (PDEs) [28][29][30][31], delay partial differential equations (DPDEs) [13,[32][33][34], and fractional differential equations (FDEs) [35,36]. These models exhibit mainly the interactions between HIV, uninfected CD4 + T cells, different types of infected CD4 + T cells, and the immune system.…”

Section: Introductionmentioning

confidence: 99%

Global analysis of within-host SARS-CoV-2/HIV coinfection model with latency

et al. 2022

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The coronavirus disease 2019 (COVID-19) is a respiratory disease caused by a virus called the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). In this paper, we analyze a within-host SARS-CoV-2/HIV coinfection model. The model is made up of eight ordinary differential equations. These equations describe the interactions between healthy epithelial cells, latently infected epithelial cells, productively infected epithelial cells, SARS-CoV-2 particles, healthy CD4 + T cells, latently infected CD4 + T cells, productively infected CD4 + T cells, and HIV particles. We confirm that the solutions of the developed model are bounded and nonnegative. We calculate the different steady states of the model and derive their existence conditions. We choose appropriate Lyapunov functions to show the global stability of all steady states. We execute some numerical simulations to assist the theoretical contributions. Based on our results, weak CD4 + T cell immunity in SARS-CoV-2/HIV coinfected patients causes an increase in the concentrations of productively infected epithelial cells and SARS-CoV-2 particles. This may lead to severe SARS-CoV-2 infection in HIV patients. This result agrees with many studies that discussed the high risk of severe infection and death in HIV patients when they get SARS-CoV-2 infection. On the other hand, increasing the death rate of infected epithelial cells during the latency period can reduce the severity of SARS-CoV-2 infection in HIV patients. More studies are needed to understand the dynamics of SARS-CoV-2/HIV coinfection and find better ways to treat this vulnerable group of patients.

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Section: Introductionmentioning

confidence: 99%

Global analysis of within-host SARS-CoV-2/HIV coinfection model with latency

et al. 2022

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“…e individual infected with Human immunodeficiency virus (HIV) has a weak immune system [1][2][3][4][5]. HIV is the virus that invades targeted human T-cells directly [6,7]. e advanced stage HIV of causes the fatal disease called acquired immunodeficiency syndrome (AIDS) [5].…”

Section: Introductionmentioning

confidence: 99%

A New Generalized Fractional-Order Derivative and Bifurcation Analysis of Cholera and Human Immunodeficiency Co-Infection Dynamic Transmission

Cheneke

Koya

Edessa

2022

International Journal of Mathematics and Mathematical Sciences

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In this study, the co-infection of HIV and cholera model has been developed and analyzed. The new fractional-order derivative is applied and the behavior of the solution is interpreted. The order of new generalized fractional-order derivative implication is presented. A new method is incorporated to determine the forward bifurcation at a threshold R 0 = 1 . The developed method is used to determine the stability of steady-state points. The full model and the submodels’ disease-free equilibrium are locally asymptotically stable if the corresponding reproduction number is less than one and unstable if the production number is greater than one. The only HIV model exhibits forward bifurcation at the threshold point, R 0 = 1 . The numerical simulations solutions obtained using a new generalized fractional-order derivative shows that the total human population size approaches the disease-free equilibrium if the order of the fractional derivative is higher. Also, the simulated results show that the memory effects toward the invading disease are less whenever the order of the fractional derivative is near 0 but higher whenever the order of the fractional derivative is near 1. Furthermore, V. cholerae concentration in the environment increases whenever the intrinsic growth rate increases. The numerical solutions are carried out using MATLAB software.

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Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage

Cited by 2 publications

References 16 publications

Global analysis of within-host SARS-CoV-2/HIV coinfection model with latency

Global analysis of within-host SARS-CoV-2/HIV coinfection model with latency

A New Generalized Fractional-Order Derivative and Bifurcation Analysis of Cholera and Human Immunodeficiency Co-Infection Dynamic Transmission

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