American Journal of Applied Mathematics and Statistics
http://www.sciepub.com/journal/AJAMS
American Journal of Applied Mathematics and Statistics is a peer-reviewed, open access journal that publishes original research articles and review articles in all areas of applied mathematics and statistics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathematics and statistics.Science and Education Publishingen2013 Science and Education Publishing Co. Ltd All rights reserved.American Journal of Applied Mathematics and Statistics
3
2
January 2015
2013 Science and Education Publishing Co. Ltd All rights reserved.
A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems
http://pubs.sciepub.com/ajams/3/2/1
H.S. Prasad, Y.N. Reddy
2015-03-04Science and Education Publishing2015-03-0423495310.12691/ajams-3-2-1
Geo ()/ Geo () +G/2 Queues with Heterogeneous Servers Operating under FCFS Queue Discipline
http://pubs.sciepub.com/ajams/3/2/2
1=k slots for k=1,2, …∞, with mass function f_{1}(k)==Pr(S_{1}=k) = μ(1- μ) k-1 with mean rate 0<μ<1 or by server-2 with a general service time S_{2}= k for k=1,2, …, with mass function f_{2}(k)==Pr(S_{2}=k) with mean service time is or mean service rate μ_{2}=1/β. Sequel to some objections raised on the use of the classical 'First Come First Served (FCFS)' queue discipline when the two heterogeneous servers operate as parallel service providers, an alternative queue discipline in a serial configuration of servers are considered in this work; the objective is that if, in a single-channel queue in equilibrium, the service rate suddenly increases and exceeds the present service capacity, install a new channel to work serially with the first channel as suggested by Krishnamoorthy (1968). Using the embedded method subject to different service time distributions we present an exact analysis for finding the ‘Probability generating Function (PGF)’ of steady state number of customers in the system and most importantly, the actual waiting time expectation of customers in the system. This work shows that one can obtain all stationery probabilities and other vital measures for this queue under certain additional and simple but realistic assumptions.]]>
Thaga Keaogile, Adebayo Fatai Adewole, Sivasamy Ramasamy
2015-03-06Science and Education Publishing2015-03-0623545810.12691/ajams-3-2-2
Effect of Elevated Carbon Dioxide Concentration on Plant Growth: A Mathematical Model
http://pubs.sciepub.com/ajams/3/2/3
2) due to increased population density has significant effect on the growth of plant biomass. It is noted here that increased atmospheric carbon dioxide is absorbed by plant biomass during photosynthesis. In this paper, therefore, a nonlinear mathematical model is proposed to study the dynamics of population density dependent emission of carbon dioxide in the atmosphere. The phenomenon is assumed to be governed by three nonlinearly dependent variables namely; plant biomass density, population density and the concentration of carbon dioxide. The model is analyzed using stability theory of ordinary differential equations and numerical simulations. It is shown that the density of plant biomass increases as the concentration of carbon dioxide increases. It is, further, shown that the equilibrium density of plant biomass decreases as the density of human population increases but the concentration of carbon dioxide increases in the atmosphere. The numerical simulation confirms these analytical results.]]>
Shyam Sundar
2015-03-11Science and Education Publishing2015-03-1123596710.12691/ajams-3-2-3