Co-infection dynamics of COVID-19 and HIV/AIDS DOI Creative Commons

Tesfaneh Debele Batu,

Legesse Lemecha Obsu, Chernet Tuge Deressa

et al.

Scientific Reports, Journal Year: 2023, Volume and Issue: 13(1)

Published: Oct. 27, 2023

Abstract Although there are many results that can be used to treat and prevent Coronavirus Disease 2019 (COVID-19) Human Immunodeficiency Virus (HIV), these diseases continue public health concerns cause socioeconomic consequences. Following compromised immunity, COVID-19 is considered a challenge for people with HIV. People advanced HIV vulnerable population at high risk in several case studies discuss co-infection. As no cure chance of contracting again, co-infection continues pose problem. The purpose this study investigate the impact intervention strategies identify role different parameters risking living death when they get infected COVID-19. This achieved through development rigorous analysis mathematical model considers due formulation provides detailed explanation transmission dynamics solution’s invariant region, positivity, boundedness were established. reproduction numbers sub-models determined. existence stability equilibria, including backward bifurcation sub-model, examined. epidemiological significance condition $${\mathscr {R}}_0$$ R 0 less than 1 eliminating COVID-19, though necessary, longer sufficient. Parametric estimation curve fitting performed based on data from Ethiopia. Numerical simulations employed support clarify analytical findings show some parameter effects Accordingly, indicated $$\gamma _c$$ γ c , _h$$ h $$\epsilon$$ ϵ $$\kappa$$ κ related patients’ exposure other increase infectiousness, have positive increasing number co-infections. On hand, an vaccination ( $$\xi$$ ξ ) shows suppression cases. In addition, treating co-infected individuals treatment rates $$\alpha$$ α $$\varphi$$ φ reduces HIV-infected burden. It was implied improving vaccine delivery programs medical interventions important contributions lowering infection-related fatalities patients.

Language: Английский

Impacts of optimal control strategies on the HBV and COVID-19 co-epidemic spreading dynamics DOI Creative Commons
Shewafera Wondimagegnhu Teklu

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: March 4, 2024

Abstract Different cross-sectional and clinical research studies investigated that chronic HBV infected individuals’ co-epidemic with COVID-19 infection will have more complicated liver than individuals in the absence of infection. The main objective this study is to investigate optimal impacts four time dependent control strategies on transmission using compartmental modeling approach. qualitative analyses model solutions non-negativity boundedness, calculated all models effective reproduction numbers by applying next generation operator approach, computed disease-free equilibrium point (s) endemic proved their local stability, shown phenomenon backward bifurcation Center Manifold criteria. By applied Pontryagin’s Maximum principle, re-formulated analyzed problem incorporating controlling variables. also carried out numerical simulations verify results proposed strategies. finding reveals implementation protections, vaccine, treatment simultaneously most strategy tackle spreading community.

Language: Английский

Citations

19
An Atangana–Baleanu derivative-based fractal-fractional order model for the monkey pox virus: A case study of USA DOI Creative Commons
Khadija Tul Kubra, Samra Gulshan, Rooh Ali

et al.

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 9, P. 100623 - 100623

Published: Jan. 23, 2024

In this study, we apply both classical and fractional-order differential equations to construct a deterministic mathematical model of the monkeypox virus. The accounts for every conceivable interaction that may play role in propagation disease throughout population. current investigate outbreak using an Atangana-Beleanu fractal-fractional derivative with exponentially decaying type kernel examine impact vaccination isolation. We thoroughly model's fundamental characteristics. calculate basic reproduction number equilibrium points, as well identify feasible region model. prove existence stability Banach fixed-point theory Picard's successive approximation method. establish uniqueness solution under appropriate conditions. Additionally, explore asymptotically local global disease-free states endemic states. also Hyers-Ulam Hyers-Ulam-Rassias consistency obsessive solution. To design effective infection control measures, study dynamic behavior system. complex dynamics influence different system input factors through extensive numerical simulations proposed varying parameters. way, people can learn about parameters efforts eradicate monkeypox. dynamical present decision-makers community

Language: Английский

Citations

12
Fractional order model of MRSA bacterial infection with real data fitting: Computational Analysis and Modeling DOI
Muhammad Farman,

Nezihal Gökbulut,

Ulaş Hürdoğanoğlu

et al.

Computers in Biology and Medicine, Journal Year: 2024, Volume and Issue: 173, P. 108367 - 108367

Published: March 28, 2024

Language: Английский

Citations

12
Dynamics of the optimality control of transmission of infectious disease: a sensitivity analysis DOI Creative Commons
Yasir Nadeem Anjam,

Iqra Shahid,

Homan Emadifar

et al.

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: Jan. 10, 2024

Abstract Over the course of history global population has witnessed deterioration unprecedented scale caused by infectious transmission. The necessity to mitigate flow requires launch a well-directed and inclusive set efforts. Motivated urge for continuous improvement in existing schemes, this article aims at encapsulation dynamics spread diseases. objectives are served disease model. Moreover, an optimal control strategy is introduced ensure incorporation most feasible health interventions reduce number infected individuals. outcomes research facilitated stratifying into five compartments that susceptible class, acute chronic recovered vaccinated class. formulated incorporating specific variables namely, awareness about medication, isolation, ventilation, vaccination rates, quarantine level. developed model validated proving pivotal delicacies such as positivity, invariant region, reproduction number, stability, sensitivity analysis. legitimacy proposed delineated through detailed analysis along with documentation local features comprehensive manner. maximum index parameters transmission people moved from stages whose value (0.439, 1) increase parameter 10 percent would threshold quantity (4.39, 1). Under condition stable system, we inverse relationship between class time. assist gain fundamental aim research, take time-dependent obtain minimize populations maximize population, simultaneously. attained employment Pontryagin principle. Furthermore, efficacy usual quarantine, face mask usage, hand sanitation also noticed. effectiveness suggested plan explained using numerical evaluation. advantages new highlighted article.

Language: Английский

Citations

11
Mathematical modelling of COVID-19 transmission with optimal control and cost-effectiveness analysis DOI Creative Commons
Jufren Zakayo Ndendya, Goodluck Mika Mlay, H. Rwezaura

et al.

Computer Methods and Programs in Biomedicine Update, Journal Year: 2024, Volume and Issue: 5, P. 100155 - 100155

Published: Jan. 1, 2024

The present global health threat is the novel coronavirus disease (COVID-19), caused by a new strain of SARS-CoV-2 coronavirus. In this study, have employed optimal control theory, aided Pontryagin's Maximum Principle, to explore measures. Specifically, we investigated time-dependent intervention strategies, including proper use personal protective measures and vaccination. Bifurcation analysis was conducted results shows that model system exhibit forward bifurcation. been numerically simulated using fourth-order Runge–Kutta methods. show implementation combination two interventions more significant effective in minimizing spread COVID-19 than single measure. These findings underscore significance multifaceted approaches over singular Notably, combined emerges as markedly containing transmission. Moreover, our study identifies particularly cost-effective intervention, offering substantial relief from burden pandemic within population. We anticipate research will inform evidence-based aid ongoing efforts safeguard public health.

Language: Английский

Citations

10
Insight into the treatment strategy on pneumonia transmission with asymptotic carrier stage using fractional order modeling approach DOI Creative Commons
Shewafera Wondimagegnhu Teklu, Belela Samuel Kotola

Computer Methods and Programs in Biomedicine Update, Journal Year: 2024, Volume and Issue: 5, P. 100134 - 100134

Published: Jan. 1, 2024

Pneumonia remains a significant global health concern, claiming millions of lives annually. This study introduces novel approach by developing and analyzing Caputo fractional order pneumonia infection model that incorporates asymptomatic carriers. Through qualitative lens, we establish the existence uniqueness solutions applying well-known Picard–Lindelöf criteria. Employing next-generation approach, compute model's basic reproduction number, determine equilibrium points, probe their stabilities. The main objective this is to investigate transmission dynamics with focus on carriers using modeling. Our findings reveal innovative outcomes as showcase numerical simulations, providing practical verification results. Notably, explore in-depth, examining influence specific parameters orders disease transmission. contributions lie in advancing theoretical foundation infectious modeling, particularly context pneumonia. rigorous analysis provide valuable insights into behavior proposed model. These hold implications for understanding managing real-world scenarios. serves vital resource researchers, policymakers, healthcare practitioners involved combating preventing spread pneumonia, ultimately contributing efforts public health.

Language: Английский

Citations

9
Dynamical behavior of fractal-fractional order monkeypox virus model DOI Creative Commons
Subrata Paul, Animesh Mahata, Manas Karak

et al.

Franklin Open, Journal Year: 2024, Volume and Issue: 7, P. 100103 - 100103

Published: May 6, 2024

A virus that infects both humans and animals, monkeypox is common in many West African countries has sporadically spread to other parts of the world. There are serious public health concerns around globe as a result recent spike cases among endemic non-endemic populations. This paper proposes use Caputo sense fractal fractional-order derivatives examine dynamics transmission. The study uses Schauder's fixed point theorem evaluate solutions qualitatively establish their uniqueness inside model. next generation matrix technique used compute essential reproduction number. stability equilibrium points further investigated research, sensitivity analysis model parameters carried out. When basic number R0 less than 1, without infections locally stable. Also, when exceeds this becomes unstable. proposed incorporates Ulam-Hyers through nonlinear functional analysis. To estimate for fractal-fractional order model, Lagrange's interpolation method utilized. In addition, numerical simulations out influence some on overall Numerical performed using MATLAB software exemplify behavior context Nigerian case study. graphical representations suggest fractional affects monkeypox. findings indicate isolation infected individuals human population helps reduce disease

Language: Английский

Citations

9
A fractional-order nonlinear model for a within-host chikungunya virus dynamics with adaptive immunity using Caputo derivative operator DOI Creative Commons
Samson Olaniyi, Taofeek O. Alade, Furaha M. Chuma

et al.

Healthcare Analytics, Journal Year: 2023, Volume and Issue: 4, P. 100205 - 100205

Published: June 6, 2023

The study of within-host dynamics viral infection is a vital process understanding how healthy cells in the body are affected by foreign bodies and immunity responds to such changes. This paper presents analyses Chikungunya virus transmission with adaptive immune responses using fractional-order derivative operator Caputo type. formulated model describes interaction uninfected cells, infected particles presence Cytotoxic T-Lymphocytes antibody responses. Several analytical methods employed analyse model. Positivity boundedness theory used investigate properties solutions via generalized mean value theorem approach. existence uniqueness examined Banach fixed point method. normalized forward sensitivity method determines different parameters affect system. It was shown that rate representing played significant role model's dynamics. Further, time-dependent optimal control analysed optimize performance approach made popular Pontryagin's maximum principle. Simulations performed visualize theoretical results show influence memory on trajectories concentrations particles, antibodies.

Language: Английский

Citations

17
A new co-infection model for HBV and HIV with vaccination and asymptomatic transmission using actual data from Taiwan DOI
Muhammad Asad Ullah, Nauman Raza, Andrew Omame

et al.

Physica Scripta, Journal Year: 2024, Volume and Issue: 99(6), P. 065254 - 065254

Published: May 14, 2024

Abstract The co-infection of Human Immunodeficiency Virus (HIV) and Hepatitis B virus (HBV) poses a major threat to public health due their combined negative impacts on increased risk complications. A novel fractional mathematical model the dynamics between HBV HIV for Taiwan is presented in this paper. Detailed analyses are conducted possible impact vaccination co-infection. next-generation matrix technique used calculate fundamental reproduction number R 0 = max{ 1 , 2 }, where numbers HIV, respectively. disease-free endemic equilibria calculated. An extensive investigation carried out determine local global stability equilibrium point through Rough Hurtwiz criteria construction Lyapunov function, We demonstrate that when < infection eradicated, but remains prevalent. If opposite outcome occurs. real data from 2000-2023 fit model. fitting results show how effectively our handles data. In addition, numerical simulations run different scenarios observe vaccine parameters changed state variables, as well solutions behaved quickly they reached model’s points. According analysis, greater efforts against have positive effect propagation

Language: Английский

Citations

8
Analysis of a fractional-order model for dengue transmission dynamics with quarantine and vaccination measures DOI Creative Commons
Muhammad Usman, Mujahid Abbas, Safeer Hussain Khan

et al.

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: May 25, 2024

Abstract A comprehensive mathematical model is proposed to study two strains of dengue virus with saturated incidence rates and quarantine measures. Imperfect vaccination also assumed in the model. Existence, uniqueness stability are proved using results from fixed point degree theory. Additionally, well constructed Lyapunov function candidates applied prove global infection-free equilibria. It demonstrated that generalized Ulam-Hyers stable under some appropriate conditions. The fitted real data epidemic taken city Espirito Santo Brazil. For approximate solution model, a non-standard finite difference(NSFD) approach applied. Sensitivity analysis carried out show influence different parameters involved behaviour NSFD assessed denominator functions it observed choice could trajectories. Different scenario when reproduction number below or above one. Furthermore, simulations presented assess epidemiological impact measures for infected individuals.

Language: Английский

Citations

7