DIFFUSION OF POPULATION UNDER THE INFLUENCE INDUSTRIALIZATION IN A TWIN-CITY ENVIRONMENT

A mathematical model of a living population in a twin‐city is proposed. Here populations are migrating from one place to another for their resource and settlement under the influence of industrialization. The long term effect of industrialization on the movement of human population is considered in two adjoining cities. It is shown that the steady state distribution of population is positive, continuous, monotonic and the system is stable under certain set of conditions. Further, numerical solution of the steady state distributions of population and industrialization are shown by taking particular values of the parameters.

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A mathematical model for long-term effect of diethylcarbamazine-albendazole mass drug administration on lymphatic filariasis

10.1063/1.4914445 ◽

2015 ◽

Cited By ~ 1

Author(s):

H. Tasman ◽

T. Supali ◽

A. K. Supriatna ◽

N. Nuraini ◽

E. Soewono

Keyword(s):

Mathematical Model ◽

Lymphatic Filariasis ◽

Drug Administration ◽

Mass Drug Administration ◽

Term Effect ◽

Long Term Effect

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Economics Of Summer Course Scheduling

Journal of Applied Business Research (JABR) ◽

10.19030/jabr.v24i1.1361 ◽

2011 ◽

Vol 24 (1) ◽

Author(s):

Jess Boronico ◽

Raja Nag

Keyword(s):

Mathematical Model ◽

Term Effect ◽

Management Policy ◽

University Administrators ◽

Font Size ◽

Summer Period ◽

Course Scheduling ◽

Long Term Effect

This paper addresses some of the relevant issues that University administrators face when determining a policy for academic coursework offered during the summer period, and the development of a mathematical model that may be used to guide management policy. It is suggested that the economic ramification of summer course policies may not be well understood, including understanding the potential long-term effect of discounting on summer per-credit charges. An empirical example is provided to demonstrate how administrators may utilize optimization and economic principles to address summer course pricing in an imperfect and ambiguous market.

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Linguistic diversification as a long-term effect of asymmetric priming

Language Dynamics and Change ◽

10.1163/22105832-00802002 ◽

2018 ◽

Vol 8 (2) ◽

pp. 253-296

Author(s):

Andreas Baumann ◽

Lotte Sommerer

Keyword(s):

Mathematical Model ◽

Population Dynamics ◽

Time Scale ◽

Language Change ◽

Term Effect ◽

Short Time Scale ◽

Cognitive Mechanism ◽

Long Term Effect ◽

Short Time

Abstract This paper tries to narrow the gap between diachronic linguistics and research on population dynamics by presenting a mathematical model corroborating the notion that the cognitive mechanism of asymmetric priming can account for observable tendencies in language change. The asymmetric-priming hypothesis asserts that items with more substance are more likely to prime items with less substance than the reverse. Although these effects operate on a very short time scale (e.g. within an utterance) it has been argued that their long-term effect might be reductionist, unidirectional processes in language change. In this paper, we study a mathematical model of the interaction of linguistic items that differ in their formal substance, showing that, in addition to reductionist effects, asymmetric priming also results in diversification and stable coexistence of two formally related variants. The model will be applied to phenomena in the sublexical as well as the lexical domain.

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