The impact of media awareness on a fractional-order SEIR epidemic model with optimal treatment and vaccination

Majee, Suvankar; Barman, Snehasis; Khatua, Anupam; Kar, Tapan Kumar; Jana, Soovoojeet

doi:10.1140/epjs/s11734-023-00910-9

Cited by 17 publications

(3 citation statements)

References 58 publications

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“…Fractional derivatives provide a more versatile way to model and describe the behavior of complex systems, especially those with non-local and memory-dependent characteristics [22][23][24]. They offer advantages in modeling biological phenomena by providing a more nuanced representation of complex processes, particularly in cases where memory and nonlocal effects play a crucial role [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

Boulaaras,

Jan,

Khan

et al. 2024

Commun. Theor. Phys.

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In the last forty years, the rise of HIV has undoubtedly become a major concern in the field of public health, imposing significant economic burdens on affected regions. Consequently, it becomes imperative to undertake comprehensive investigations into themechanisms governing the dissemination of HIV within the human body. In this work, we devise a mathematical model that elucidates the intricate interplay between CD4+ Tcells and viruses of HIV, employing the principles of fractional calculus. The productionrate of CD4+ T-cells, like other immune cells depends on factors like age, health status, and the presence of infections or diseases. Therefore, we incorporate a variable source term in the dynamics of HIV infection with saturated incidence rate to enhance the precision of our findings. We introduce the fundamental concepts of fractional operators as a means of scrutinizing the proposed HIV model. To facilitate a deeper understanding of our system, we represent an iterative scheme that elucidates the trajectories of solution pathways of the system. We present the time series analysis of our model through numerical findings to conceptualize and understand the key factors of the system. In addition to this, we present the phase portrait and the oscillatory behavior of the systemwith the variation of different input parameters. These information can be utilized to predict the long-term behavior of the system, including whether it will converge to a steady state or exhibit periodic or chaotic oscillations.

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Section: Introductionmentioning

confidence: 99%

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

Boulaaras,

Jan,

Khan

et al. 2024

Commun. Theor. Phys.

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show abstract

“…A generalization of this theory has led to the rise of the field of fractional differential equations (FDEs) [1], extending the conventional framework of differential equations by incorporating fractional derivatives. This extension has countless applications in various scientific fields, such as quantum mechanics [3,4,5,6,7,8], electrodynamics [9,10,11,12], economics [13,14,15,16], engineering [17,18,19], biology [20,21], and geology [22].…”

Section: Introductionmentioning

confidence: 99%

Caputo fractional standard map: Scaling invariance analyses

Borin

2024

Chaos, Solitons & Fractals

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“…Derivatives of fractional order have the ability to account for memory history and heritability [38], which is especially beneficial in studying the spread of infections over time. These can more effectively capture the long-range dependence traits of real-world epidemics [39], enhancing the precision of predictions and offering a more accurate depiction of disease transmission. The use of fractional order derivatives can extend the stability region of the epidemic models [40].…”

Section: Introductionmentioning

confidence: 99%

Caputo-Fabrizio Fractional Order Epidemiological Model of Tuberculosis Transmission along with Imperfect Vaccination, Exogenous Reinfection and Endogenous Reactivation

Nandi,

Saha,

Roy

2024

Preprint

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This study has been carried out on the dynamics of tuberculosis (TB) transmission considering vaccination, endogenous re-activation of the dormant infection, and exogenous re-infection. We can comprehend the behavior of TB under the influence of vaccination from this article. The theoretical analysis demonstrates that the disease-free equilibrium point is locally asymptotically stable and the fractional order system is Ulam-Hyers type stable. We compute the vaccination reproduction number (R_v) as well as the basic reproduction number (R_0) using the next-generation matrix (NGM) approach. Our findings indicate that vaccinating a limited segment of the population can effectively eradicate the disease. The Adams–Bashforth 3-step method has been used to obtain the numerical solution of our model. The numerical simulations presented at the end of this study show that vaccination can reduce the number of susceptible and infectious individuals in the population. Moreover, the graphical representations illustrate that the number of infected individuals rises due to both exogenous reinfection and endogenous reactivation.

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The impact of media awareness on a fractional-order SEIR epidemic model with optimal treatment and vaccination

Cited by 17 publications

References 58 publications

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

Caputo fractional standard map: Scaling invariance analyses

Caputo-Fabrizio Fractional Order Epidemiological Model of Tuberculosis Transmission along with Imperfect Vaccination, Exogenous Reinfection and Endogenous Reactivation

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