Edited by Selma Belen.
THE RECENT PROPOSED ARTICLES:
ARTICLE I
Title: Life-span of the languages from ancient times to contemporary times with a view of a mathematical model
Sub-title: past - present - future
Authors: Gerhard-Wilhelm Weber and Selma Belen
Sections:
I. Introduction
II. A great and remarkable ancient civilization Hitites and their language's life-span
III. A model and analytical results in applied mathematics
IV. Numerical analysis of the model
V. Adoption of our numerical solutions to forecast a life-span of a present language
VI. The chance of a language being alive in future according to our analytical and numerical results
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ARTICLE II
Title: An overview on the environmental problems and their affects with suggested solutions
Sub-title: An introductive mathematical model to give the size of global improvement in a way of applying suggested solutions
and
obtain a ratio of pollution in time without precautionary measure
Authors: Gerhard-Wilhelm Weber and Selma Belen
Sections:
I. Introduction: Environmental problems
a) Air pollution and its effects in change of atmospheric conditions leading to climate changes
b) Pollution of soil and pollution of water -seas, oceans, rivers- on the earth
II. Preliminaries and background: Suggested solutions to improve environmental conditions in the literature
III. The model and complexity
IV. Analytical results and discussions on the continuity of existing conditions for liveliness on the earth
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THE ARTICLES IN REVIEW IN ORDER TO SUBMIT TO A RELEVANT JOURNAL IN SHORT FUTURE:
ARTICLE III
Title: An approach to diffusion of investing in finance
Authors: Selma Belen, Charles Pearce* and Gerhard-Wilhelm Weber
Abstract: In this article, we develop a mathematical model and analyse the limiting behaviour of diffusion of investing that takes its own pattern in its stochastic process.
We consider a population of potential investors and subdivide the population of potential investors into active investors, passive investors and non-investors
and distinguish passive investors further into first type, second type and third type of passive investors.
We give a general analytical solution for each sub-population in the stochastic process of diffusion of investing.
Key words: Applied mathematics, Operational Research, stochastic process, diffusion of investing, investor, passive investor.
Footnote: The work as a talk given in 6th ICIAM congress has motivated this work.
*In memory of Charles Edward Miller Pearce who was a joint author of the work presented in 6th ICIAM congress.
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ARTICLE IV
Title: Is it possible that the Earth may have already been discovered by extraterrestrial(s) many thousands years ago?
Author: Selma Belen
Abstract: In this technical note, a discussion is done on the argument given that the Earth was discovered many thousands years ago randomly and the Earth became a stifler immediately.
It is claimed that the reason for stifling , may be due to either the beginning of formation of life on the Earth or the primitive life on the Earth including lack of the capable to understand and
not aware of an extraterrestrial many thousands years ago. In this work, the theory of stochastic rumours is applied to support the discussion and a general solution of a version
of the stochastic rumours is used to explain that the Earth may fall in stifling case at the ratio $3.14x10^{-1}$ which indicates the extraterrestrial(s) discovered or communicated with
the Earth many thousands years ago. Footnote:This work is based with a point of view of some elements of applied mathematics rather than astrophysical elements.
Key words: Applied mathematics, Daley-Kendall model, Maki-Thompson model, Pearce model, Fermi paradox, Drake equation, extraterrestrial, interstellar, astronomy, astrophysics.
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ARTICLE V
Title: An analysis of spread of information with an application and stochastic prey-predators
Authors: Selma Belen and Gerhard-Wilhelm Weber
Abstract: In this work, we are concerned with the limiting behaviours of stochastic information and stochastic prey-predators. We introduce two new population models to analyze
the spread of stochastic information and the stochastic prey-predator. The population is distinguished into three groups or sub-populations in both models. We give a general solution
for every sub-population in each model, hence, the number of each sub-population can be calculated at any time during the stochastic processes of both real life applications.
It is proved that the proportions of two sub-populations converge to 0 while the other converges to 1 in both models at the end of the stochastic processes.
We also point out the convexity properties of the behaviour of each of three sub-populations. We contribute to Operational Research and Applied Mathematics by our population models,
their analytical solutions and the analysis of the given dynamical system with some convexity properties.
Key words: Applied Mathematics, Operational Research, stochastic process, stochastic news, stochastic prey-predator.