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Epidemic models for phase transitions: application to a physical gel
(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 ...
An Overview of the 2009 A(H1N1) Pandemic in Europe: Efficiency of the Vaccination and Healthcare Strategies
(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 ...
On the classification of scalar evolution equations with non-constant separant
(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 ...
'Level grading' a new graded algebra structure on differential polynomials: application to the classification of scalar evolution equations
(IOP Publishing Ltd, 2013)
We define a new grading which we call the 'level grading' on the algebra of polynomials generated by the derivatives u(k+i) over the ring K-(k) of C-infinity functions of x t u u(1) ... u(k) where . This grading has the ...
Canonical forms for families of anti-commuting diagonalizable linear operators
(Elsevier Science Inc, 2012)
It is well known that a commuting family of diagonalizable linear operators on a finite dimensional vector space is simultaneously diagonalizable. In this paper we consider a family A = {A(a)} A(a) : V -> V a = 1... N of ...
Mathematical models for phase transitions in biogels
(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 ...
Forecasting electricity demand for Turkey: Modeling periodic variations and demand segregation
(Elsevier, 2017)
In deregulated electricity markets the independent system operator (ISO) oversees the power system and manages the supply and demand balancing process. In a typical day the ISO announces the electricity demand forecast for ...
Assessment and simulation of water transfer for the megacity Istanbul
(Bellwether Publishing, Ltd., 2021)
The population of Istanbul increased from three to fifteen million from 1970 to 2018. The city, which has no perennial fresh water resources within its metropolitan boundaries, has long imported water from other basins. ...
COMPUTATION OF MONTHLY RUNOFF COEFFICIENTS FOR ISTANBUL
(VINCA INST NUCLEAR SCI, 2021)
Water demand for Istanbul is supplied both by impounded reservoirs located within its provincial boundaries and by water transfer from Western and Eastern regions in peripheral areas, located in South-West Black Sea region. ...
Self-duality in higher dimensions
(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 ...