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On the classification of scalar evolution equations with non-constant separant 

Bilge, Ayşe Hümeyra; Mizrahi, Eti (IOP Publishing Ltd, 2017)
The ` separant' of the evolution equation u(t) = F where F is some differentiable function of the derivatives of u up to order m is the partial derivative partial derivative F/partial derivative u(m) where um u(m) = partial ...
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The critical point of a sigmoidal curve 

Bilge, Ayşe Hümeyra; Özdemir, Yunus (Babeș-Bolyai University, 2020)
Let y(t) be a monotone increasing curve with lim(t ->+/-infinity) y((n))(t) = 0 for all n and let t(n) be the location of the global extremum of the nth derivative y((n))(t). Under certain assumptions on the Fourier and ...
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Determination of epidemic parameters from early phase fatality data: A case study of the 2009 A(H1N1) pandemic in Europe 

Bilge, Ayşe Hümeyra; Samanlıoğlu, Funda (World Scientific Publ Co Pte Ltd, 2018)
This paper demonstrates that the susceptible-infected-removed (SIR) model applied to the early phase of an epidemic can be used to determine epidemic parameters reliably. As a case study the SIR model is applied to the ...
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An Overview of the 2009 A(H1N1) Pandemic in Europe: Efficiency of the Vaccination and Healthcare Strategies 

Samanlıoğlu, Funda; Bilge, Ayşe Hümeyra (Hindawi Ltd, 2016)
2009 A(H1N1) data for 13 European countries obtained from the weekly influenza surveillance overview (WISO) reports of European Centre for Disease Prevention and Control (ECDC) in the form of weekly cumulative fatalities ...
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Epidemic models for phase transitions: application to a physical gel 

Bilge, Ayşe Hümeyra; Pekcan, Önder; Kara, Selim; Öǧrenci, Arif Selçuk (Taylor & Francis Ltd, 2017)
Carrageenan gels are characterized by reversible sol-gel and gel-sol transitions under cooling and heating processes and these transitions are approximated by generalized logistic growth curves. We express the transitions ...
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Mathematical models for phase transitions in biogels 

Bilge, Ayşe Hümeyra; Öǧrenci, Arif Selçuk; Pekcan, Önder (World Scientific Publ Co Pte Ltd, 2019-03-30)
It has been shown that reversible and irreversible phase transitions of biogels can be represented by epidemic models. The irreversible chemical sol-gel transitions are modeled by the Susceptible-Exposed-Infected-Removed ...
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Mathematical Characterization of Thermo-reversible Phase Transitions of Agarose Gels 

Öǧrenci, Arif Selçuk; Pekcan, Önder; Kara, Selim; Bilge, Ayşe Hümeyra (Taylor & Francis Inc, 2018)
The thermal phase transition temperatures of high (HMP) and low melting point (LMP) agarose gels were investigated by using UV-vis spectroscopy techniques. Transmitted light intensities from the gel samples with different ...
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An equivalence class decomposition of finite metric spaces via Gromov products 

Bilge, Ayşe Hümeyra; Çelik, Derya; Koçak, Şahin (Elsevier Science Bv, 2017)
Let (X, d) be a finite metric space with elements P-i, i = 1,..., n and with the distance functions d(ij) The Gromov Product of the "triangle" (P-i, P-j, P-k) with vertices P-t, P-j and P-k at the vertex Pi is defined by ...
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Self-duality in higher dimensions 

Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (IOP Publishing Ltd, 2017)
Let w be a 2-form on a 2n dimensional manifold. In previous work, we called w "strong self-dual, if the eigenvalues of its matrix with respect to an orthonormal frame are equal in absolute value. In a series of papers, we ...
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What Can We Estimate From Fatality and Infectious Case Data Using the Susceptible-Infected-Removed (SIR) Model? A Case Study of Covid-19 Pandemic 

Ahmetolan, Semra; Bilge, Ayşe Hümeyra; Demirci, Ali; Peker-Dobie, Ayşe; Ergönül, Önder (Frontıers Medıa Sa, 2020)
The rapidly spreading Covid-19 that affected almost all countries, was first reported at the end of 2019. As a consequence of its highly infectious nature, countries all over the world have imposed extremely strict measures ...
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Bilge, Ayşe Hümeyra (27)
Pekcan, Önder (4)Yücekaya, Ahmet (4)Öǧrenci, Arif Selçuk (4)Koçak, Şahin (3)Pekcan, Onder (3)Samanlıoğlu, Funda (3)Yükseltan, Ergün (3)Ahmetolan, Semra (2)Demirci, Ali (2)... View MoreSubjectGel point (4)Generalized logistic curve (4)Epidemic model (3)Epidemic models (3)Fourier series (3)SIR model (3)Time series analysis (3)COVID-19 (2)Critical point of sigmoid (2)Dynamical systems (2)... View MoreDate Issued2017 (5)2020 (5)2012 (3)2016 (3)2019 (3)2011 (2)2013 (2)2015 (2)2018 (2)Has File(s)true (18)false (9)

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