Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective

Melese, Zinabu Teka; Alemneh, Haileyesus Tessema

doi:10.1186/s13662-021-03584-6

Cited by 3 publications

(3 citation statements)

References 38 publications

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“…Mathematical modeling plays a significant role in depicting how infectious diseases spread within a community [8]. It has been known that there was only one methicillin‐resistant Staphylococcus aureus (MRSA) strain that existed in hospital, called hospital‐acquired MRSA (HA‐MRSA), which predominantly infected elderly and debilitated patients [9].…”

Section: Introductionmentioning

confidence: 99%

On the exponential stability of a stochastic model for transmission dynamics of antimicrobial‐resistant infections

Melese,

Berhe,

Woldegerima

2024

Math Methods in App Sciences

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In this research, a comprehensive stochastic model was developed to analyze the transmission dynamics of methicillin‐resistant Staphylococcus aureus (MRSA) in both hospital‐acquired and community‐acquired contexts. The study explored the existence and uniqueness of solutions and established the presence of a global solution. The investigation focused on assessing the boundedness, extinction, and persistence of MRSA strains in terms of their means. The analysis of the model revealed a noteworthy phenomenon known as competitive exclusion, where the community‐acquired MRSA strain gradually out‐competes the hospital‐acquired strain within hospital settings. In conclusion, effective interventions and preventive measures, such as improving hand hygiene compliance, implementing decolonization strategies, and enhancing disinfection rates, emerge as critical factors in controlling the transmission of these strains within hospital environments.

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Section: Introductionmentioning

confidence: 99%

On the exponential stability of a stochastic model for transmission dynamics of antimicrobial‐resistant infections

Melese,

Berhe,

Woldegerima

2024

Math Methods in App Sciences

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“…The treatment of the co-infection of these diseases must be initiated in a systemic manner because their drugs do not always work well together. While some co-infection mathematical models have been developed and analyzed to understand the transmission dynamics of various diseases [3, 29,30], such efforts for a mathematical model to understand the visceral leishmaniasis (VL) and tuberculosis (TB) co-infection have not taken place yet (to the best of our knowledge). Therefore, in this study, we develop and analyze a mathematical model designed to understand the dynamics of VL and TB co-infection.…”

Section: Introductionmentioning

confidence: 99%

Modeling visceral leishmaniasis and tuberculosis co-infection dynamics

Egbelowo

Munyakazi

Dlamini

et al. 2023

Front. Appl. Math. Stat.

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The co-infection of visceral leishmaniasis (VL) and tuberculosis (TB) patients pose a major public health challenge. In this study, we develop a mathematical model to study the transmission dynamics of VL and TB co-infection by first analyzing the VL and TB sub-models separately. The dynamics of these sub-models and the full co-infection model are determined based on the reproduction number. When the associated reproduction number (R1) for the TB-only model and (R2) for the VL-only are less than unity, the model exhibits backward bifurcation. If max{R1,R2}=R1, then the TB-VL co-infection model exhibits backward bifurcation for values of R1. Furthermore, if max{R1,R2}=R2, and by choosing the transmission probability, βL as the bifurcation parameter, then the phenomenon of backward bifurcation occurs for values of R2. Consequently, the full model, whose associated reproduction number is R0, also exhibits backward bifurcation when R0=1. The equilibrium points and their stability for the models are determined and analyzed based on the magnitude of the respective reproduction numbers. Finally, some numerical simulations are presented to show the reliability of our theoretical results.

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“…The results show that the introduction of PrEP has a positive effect on the limitation of the spread of HIV. Melese and Alemneh [22] developed a transmission dynamics model for VL-HIV coinfection by splitting the population into ten compartments. From the result they achieved, the authors concluded that increasing the rate of visceral leishmaniasis (VL) recovery (ϕ 1 ), the recovery rate for VL-HIV Coinfection (ϕ 2 ), removing reservoirs (c 1 ), and minimizing the contact rate (β h ) are important in controlling the transmission of individual and coinfection disease of VL and HIV.…”

Section: Introductionmentioning

confidence: 99%

Coinfection Dynamics of HBV-HIV/AIDS with Mother-to-Child Transmission and Medical Interventions

Endashaw

Melese

Alemneh

2022

Computational and Mathematical Methods in Medicine

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In this study, we analyzed the effect of mother-to-child transmission (MTCT) of hepatitis B virus (HBV) and human immunodeficiency virus (HIV) on the transmission dynamics of their coinfection to make a recommendation based on reasons to public health sector, policy makers, and programme implementers. We proved that the solutions of the sub and full models are positive and bounded. The effective reproduction numbers of the models are derived using the next generation matrix method. The disease-free and endemic equilibria of the submodels and the coinfection model are computed, and the stability of those equilibria is analyzed using Routh-Hurwitz criteria after computing the associated effective reproduction numbers. We performed a sensitivity analysis to show the influence of different parameters on the effective reproduction number of HBV-HIV/AIDS coinfection model, and we identified the most sensitive parameters are τ 2 and α 1 , which are the rate of MTCT of HIV and treatment rate for HBV infected class, respectively. The numerical simulation of the model is done using MATLAB and the findings from the simulations are discussed. From the results of numerical simulations, we observed that an increase in the rates of MTCT of HBV and HIV exacerbated HBV-HIV/AIDS coinfection, while a decrease in the rates of MTCT of these infections would decline the number of cases, minimize the spread, and help to eliminate HBV-HIV/AIDS coinfection from the society gradually.

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Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective

Cited by 3 publications

References 38 publications

On the exponential stability of a stochastic model for transmission dynamics of antimicrobial‐resistant infections

On the exponential stability of a stochastic model for transmission dynamics of antimicrobial‐resistant infections

Modeling visceral leishmaniasis and tuberculosis co-infection dynamics

Coinfection Dynamics of HBV-HIV/AIDS with Mother-to-Child Transmission and Medical Interventions

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