Volume 3, Issue 1 (2007) | Journal of Mathematics and Statistics

Periodic and Non Periodic (Complex) Behavior of a Model of Bioreactor With Cell Recycling

G. Ibrahim — 2007-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2007; doi:10.3844/jmssp.2007.1.11

A structured model of bioreactor for an activated sludge process was presented. The stability and bifurcation characteristics of the model are investigated, the bifurcation analysis of the model shows...

Flow of Temperature-dependent Viscous Fluid Between Parallel Heated Walls: Exact Analytical Solutions in the Presence of Viscous Dissipation

K. S. Adegbie — 2007-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2007; doi:10.3844/jmssp.2007.12.14

We examine steady incompressible flow of viscous liquids between parallel heated walls of plane Couette device. The temperature of the upper and lower walls of the device are maintained at T = Tb and ...

One Algebra of New Generalized Functions

Sabra Ramadan — 2007-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2007; doi:10.3844/jmssp.2007.15.16

The space of new Generalized functions ζ (Π(R)) has been constructed. The operation of associative multiplication Θ has been defined on ζ (Π(R)).The embedding Jπ : ζ(S(R))→ ζ( (R)) has be...

Global Behavior of a Higher Order Difference Equation

Alaa E. Hamza — 2007-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2007; doi:10.3844/jmssp.2007.17.20

In this work we study the asymptotic stability of the nonnegative equilibrium points of the difference equation. We discuss the conditions under which there exist prime period two solutions and semicy...

Generalized Cauchy's Models and Generalized Integrals

Sabra Ramadan — 2007-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2007; doi:10.3844/jmssp.2007.21.23

The space of generalized complex numbers C* has been constructed. The Cachy's model in the space of new generalized functions is well defined. The generalized integral of new generalized function over...

The Constrained Bottleneck Transportation Problem

Peerayuth Charnsethikul — 2007-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2007; doi:10.3844/jmssp.2007.24.27

Two classes of the bottleneck transportation problem with an additional budget constraint are introduced. An exact approach was proposed to solve both problem classes with proofs of correctness and co...

Two Main Methods for Utility Sharing in Joint Business: A Discussion

Rafel Amer — 2007-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2007; doi:10.3844/jmssp.2007.28.34

One of the main purposes of any theory of joint business is to provide a convincing way for sharing the total utility available to the set of agents. The proportional rule is widely applied in practic...