Mathematical Model Analysis for the Transmission Dynamics of Wheat Yellow Rust Disease: In Case of Melga Woreda, Sidama Regional State, Ethiopia [PDF]
Scientific ReportsIn this work, we present a mathematical model that uses real data to characterize the transmission dynamics of wheat yellow rust (WYR) disease. The model’s well-posedness, such as the existence and uniqueness, the positivity, and boundedness of the ...
Abayneh Kebede Fantaye +2 more
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Fractal and FractionalWe study a perturbed coupled system of generalized hybrid pantograph equations involving the deformable derivative of Zulfeqarr–Ujlayan–Ahuja. A central point of the revision is made explicit: for classically differentiable functions this derivative is ...
Rafik Zeraoulia +5 more
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A Caputo fractional-order SEIHRD model for Ebola: theoretical analysis, sensitivity, bifurcation, and numerical simulations [PDF]
Scientific ReportsThis study develops and analyzes a Caputo fractional-order SEIHRD model to investigate the transmission dynamics and control of Ebola virus disease. The model ensures positivity, boundedness, and invariance of feasible regions for all solutions. Rigorous
R. Malathy +2 more
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Chaotic behavior of fractional HIV-1 model involving AIDS related cancer cells [PDF]
Scientific ReportsAIDS-related cancers are a major complication in HIV-infected individuals, driven by chronic immune suppression and viral oncogenesis. To better understand the dynamic interplay among healthy cells, HIV-infected cells, and cancer cells, this study ...
Zain Ul Abadin Zafar +5 more
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A memory-driven pneumonia dynamics model validated against Ethiopian mortality data: a fractional-order differential equation framework [PDF]
Scientific ReportsEvery year, pneumonia kills millions across the globe, disproportionately claiming the lives of children under five and immunocompromised adults in low-resource settings, yet the mathematical tools deployed to understand and contain it remain ...
Mideksa Tola Jiru +1 more
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Mathematical model analysis of drug resistance TB dynamics with immigrants and impact of media efficiency [PDF]
Scientific ReportsTuberculosis (TB) is a deadly and contagious disease that can be found all over the world. The purpose of this research is to analyze the dynamics of drug-resistant tuberculosis (DR-TB) involving infected individuals and media efficacy.
Kumneger Tadesse Mulugeta +2 more
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Fractional order modeling of hepatitis C transmission dynamics with physics-informed neural network solutions [PDF]
BMC Infectious DiseasesThis study develops a fractional-order mathematical model for Hepatitis C Virus (HCV) transmission using a six-compartment framework and the Caputo–Fabrizio derivative.
Vetrivel Muthupandi +2 more
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Well-posedness, stability and sensitivities for stochastic delay equations: A generalized coupling approach [PDF]
The Annals of Probability, 2020 We develop a new generalized coupling approach to the study of stochastic delay equations with Hölder continuous coefficients, for which analytical PDE-based methods are not available. We prove that such equations possess unique weak solutions, and establish weak ergodic rates for the corresponding segment processes.
Kulik, Alexei, Scheutzow, Michael
openaire +3 more sources
Scientific African, 2021 We have proposed an unprecedented deterministic model of Lassa Hemorrhagic fever (LHF) model with nonlinear force of LHF infection to capture the transmission dynamics and long-term effects of the disease.
Adedapo Chris Loyinmi +2 more
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Mathematical analysis and numerical simulation of co-infection of TB-HIV
Arab Journal of Basic and Applied Sciences, 2020 In this article, we consider the model having co-infection of TB and HIV for numerical analysis and modelling. For this purpose, used non-standard finite difference scheme with Mickens approach rather than h to control this disease.
Aqeel Ahmad +4 more
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