TITLE:
Threshold Parameter for the Control of Unemployment in the Society: Mathematical Model and Analysis
AUTHORS:
A. B. Kazeem, S. A. Alimi, M. O. Ibrahim
KEYWORDS:
Unemployment, Active, Passive, Recruitment Threshold and Semi-Analytic Scheme
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.12,
December
20,
2018
ABSTRACT: Unemployment is one of the major
vices in our contemporal society, which weigh greatly on the economy of such
nation. It is also, a fact that knowing ones enemy before battle gives 50 per
cent chance of victory; thus, this research aimed at providing understanding about dynamics of
unemployment with consideration for retirement and possible control criterion.
And the objectives are; formulation of mathematical model using the concept of
deterministic model and mathematical epidemiology; then, model analysis. The model analysis includes, a numerical semi-analytical scheme for investigating validity of
analytical solutions. The result of the analysis were that: 1) the model was mathematically well-pose and biologically meaningful 2) two equilibria points exist, and 3) a threshold for recruitment from the pool of unemployment, assuring
victory in the fight against unemployment was also, obtained. The threshold is required to be well managed in order to win the battle against the
socio-vice (unemployment) in the contemporary society. In addition, variational
iterative method (VIM) is the numerical semi-analytic scheme employed to solve
the model; thus, the approximate solution gave a practical meaningful
interpretation supporting the analytical results and proof of verdict of
assumptions of the model. The article concluded with three points; everyone has
roles to play to curtail the socio-menace, beseech government and policy makers
to look kindly, and create policy(ies) to
sustain population growth, and the retiree should also, plan live after
service, because over dependence on pension scheme could be died before death because of
corruption in the scheme.