In this paper, closed forms of the summation formulas for generalized Pentanacci numbers are presented. Then, some previous results are recovered as particular cases of the present results. As special cases, we give summation formulas of Pentanacci, Pentanacci-Lucas, fifth order...
Open access
Research Article10.9734/jamcs/2019/v34i530224
Time, raw materials and labour are some of the nite resources in the world. Due to this, Linear Programming* (LP) is adopted by key decision-markers as an innovative tool to wisely consume these resources. This paper test the strength of linear programming models and presents an...
Open access
Research Article10.9734/jamcs/2019/v34i530222
Existence and boundedness of the solutions of the boundary value problem for the four velocity two dimensional Broadwell model for bounded boundary conditions is proved and exact analytic solutions are built. An application to the determination of the accommodation coefficients o...
Open access
Research Article10.9734/jamcs/2019/v34i430220
A reaction-diffusion model is put forward which is capable of generating chemical maps whose concentration contours are similar to the patterns seen on the flanks of zebras, leopards and other mammals. Initially, this type of reaction diffusion kinetics model was introduced by Tu...
Open access
Research Article10.9734/jamcs/2019/v34i430219
Multidimensional scalable test functions are very important in testing the capabilities of new optimization methods, especially in evaluating their response to the increase of the search space dimension. As a continuation of a previous published paper, new sets of test functions...
Open access
Research Article10.9734/jamcs/2019/v34i430221
Cloud computing is a developing, very buoyant and nascent paradigm offering numerous solutions to the mirage of challenges and troubles confronting the IT world. It is an online computing solution for on-demand scaling, sharing and abstraction of unlimited resources. Since the si...
Open access
Research Article10.9734/jamcs/2019/v34i330215
The author presents a simple approach which can be used to tackle various special cases of some well-known problems involving zeta functions. A self-contained argument, which requires only basic prerequisite mathematical knowledge, is used to furnish a new proof of a result invol...
Open access
Research Article10.9734/jamcs/2019/v34i230213
The author presents a simple approach which can be used to tackle some well-known Diophantine problems. A self-contained argument is used to furnish a novel proof of one such result first stated by Pierre de Fermat in the 1630s.
Open access
Research Article10.9734/jamcs/2019/v34i230211
This article proposed a new extension of the Inverse Lindley distribution called “Lomax-Inverse Lindley distribution” which is more flexible compared to the Inverse Lindley distribution and other similar models. The paper derives and discusses some Statistical properties of the n...
Open access
Research Article10.9734/jamcs/2019/v34i3-430208
Some stochastic epidemiological models are less significant. They do not take into account some sudden events that could disrupt the behavior of the studied phenomenon. In this work, we introduce a white noise and jumps in a deterministic SIRS model for smoking to take into accou...
Open access
Research Article10.9734/jamcs/2019/v34i3-430207