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Mathematical modelling of liver cancer in Western Kenya
(Hikari, 2017)
Liver cancer, also known as hepatocellular carcinoma (HCC) is a primary cancer of the liver and the fifth cause of mortality world-wide. It is a global public health problem which is poorly addressed in the developing ...
On local minimum and orthogonality of normal derivations in Cp-classes
(G.I publications, 2017-02)
The present paper gives some results on local minimum and orthogonality of normal derivations in Cp-Classes. We employ some techniques for normal derivations due to Mecheri, Hacene, Bounkhel and Anderson. Let CpCp be normal, ...
On the similarities in properties of essential numerical range and Davis-Wielandt shell of Hilbert space operators
(International Journal of Innovative Research and Advanced Studies (IJIRAS), 2017-07)
Let be an operator on an infinite dimensional Hilbert space . Denote the essential numerical range of the operator by and the Davis-Wielandt shell of the operator by . We review the properties of the essential numerical ...
Derivation and solution of the heat equation in 1-D
(International Journal of Engineering, Science and Mathematics, 2013)
Heat flows in the direction of decreasing temperature, that is, from hot to cool. In this paper we derive the heat equation and consider the flow of heat along a metal rod. The rod allows us to consider the temperature, ...
Mathematical model for co-infection of HIV/AIDS and pneumonia with treatment
(International Journal of Scientific Engineering and Applied Science, 2016)
Pneumonia occurs commonly in HIV-infected patients. In this paper, we study a simple mathematical model for the co-infection of HIV/AIDS and Pneumonia. We establish that the model is well presented epidemiologically and ...
The algebra of smooth functions of rapid descent
(2009)
A bounded operator with the spectrum lying in a compact set V ⊂ R, has C∞ (V) functional calculus. On the other hand, an operator H acting on a Hilbert space H, admits a C(R) functional calculus if H is self-adjoint. So ...
Mathematical modeling of insulin therapy in patients with diabetes mellitus
(2015)
This study presents a Mathematical Model Insulin Therapy in Patients with Diabetes Mellitus which includes external rate at which blood glucose, insulin and epinephrine are being increased in the form, Y =AY+r (t) and ...
Finite difference solution of (2+1)-dimensional sine-gordon equation: A model for investigating the effects of varying surface damping parameter on josephson current flowing through the long josephson junction
(International Journal of Science and Research (IJSR), 2015)
Modeling of some physical phenomena and technological processes taking into account dissipation leads to the Sine-Gordon equation with the first time derivative. The (2+1) Sine-Gordon equation with the first time derivative ...
Construction of nominal yield curve for Nairobi securities exchange: an improvement on monotone preserving r(t)t interpolation method
(Scientific Research Publishing Inc., 2015-11)
There is no agreed-upon method used to construct yield curves at the Nairobi Securities Exchange. The existing practice is that each financial company uses in-house methods to construct the yield curves for their pricing ...
Forensic estimation of time of death: A mathematical model
(International Journal of Management, IT and Engineering, 2013-07)
In this paper we establish the exact time of death of a murdered person. This leads to an ordinary differential equation whose solution has been analyzed to provide the approximate time of death. Forensic expert will try ...