Plenary Lecture

Dynamical Models of Unemployment Control with Distributed Time Delay

Professor Mihaela Neamtu
Faculty of Economics and Business Administration
West University of Timisoara

Abstract: In this paper, two nonlinear mathematical models of unemployment control are proposed and analyzed.
In the first model, unemployment signals to employers the possibility to hire at lower wages, thus stimulating further job creation in the private sector. Governments are expected to respond as well to the social and budgetary pressures of large numbers of individuals willing to work at the lower wage rate, but still unable to find employment or relying on benefits. Thus, four dynamic variables have been considered: number of unemployed persons, number of employed persons, number of available jobs and number of newly created vacancies.
In the second model, in additional, jobs competition between the unemployed and new migrants is taken into consideration. We consider the situation where governments observe the stock of migrants on their territory, along with unemployed numbers, but have no direct control on the number of migrants.
Both models are described by distributed delay differential systems. The local stability behavior of non-negative equilibrium points is studied, in both cases no distributed delay and distributed delay.
Numerical simulation of the model has been carried out to illustrate the analytical results.

Brief Biography of the Speaker: Mihaela Neamtu was born in Timisoara (Romania) on 1971. She graduated in 1995 the Faculty of Mathematics, West University of Timisoara. In 2001 she obtained the title of Ph.D in mathematics. She followed a didactic career at the Faculty of Economics and Business Administration, West University of Timisoara, Romania and she is currently a professor. She has been a visiting Professor for short periods of time at The Nottingham Trent University, Economics & Politics (Great Britain) and Faculty of Mathematics, Bonn (Germany). Professor Mihaela Neamtu has over 70 articles published in Journals and Proceedings of the International Conferences and 5 monographs; she has been a regular referee of papers for several International Journals and a reviewer of Mathematical Reviews (MathSciNet). She has been participating in 12 multiannual grants (1 of them is international), in 9 as a member and in 2 as a director. Her main academic interests are in dynamical systems and applications in biology and economy.

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