A Dynamic Model of Unemployment with Migration and Delayed Policy Intervention

Harding, Liliana; Neamţu, Mihaela

doi:10.1007/s10614-016-9610-3

Cited by 25 publications

(22 citation statements)

References 18 publications

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“…Besides, they discovered that the unemployment level was signal to the employers to hire labourers at low wages. The separation of the available vacancies into government and current created vacancies was a major modification to the earlier works of Misra and Singh (2011) and Misra and Singh (2013) by Harding and Neamtu (2018). Harding and Neamtu adopted the idea of Misra and Singh (2011) and Misra and Singh (2013), modifying the earlier efforts by formulating an unemployment model in which job searches are open to both migrant and native workers.…”

Section: Literature Reviewmentioning

confidence: 99%

Mathematical Analysis of the Implication of the Proposed Rise in the Retirement Age on the Unemployment Situation in Nigeria

Ayoade¹,

Folaranmi²,

Latunde³

2020

AJS

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The situation has aggravated poverty and brought about untold hardship particularly for the unemployed. Currently, there is intense debate regarding the adjustment in the statutory age of retirement in Nigeria. To that end, a deterministic compartmental mathematical model is designed to study the implication of the proposed increase in the national statutory age of retirement on the national output and the trend of unemployment in Nigeria. The mathematical interpretation of the compartments of the model leads to the corresponding first-order ordinary differential equations. The resulting equations are proved to satisfy the basic features of a good mathematical model. The unemployment-free equilibrium is derived and the stability analysis is performed via stability theory of nonlinear differential equations. Numerical simulation is conducted to validate the analytical results. Results from the simulation show that increasing the national statutory age of retirement will limit the rate at which individuals are moving from the unemployed state to the employed state but widen the rate at which individuals are joining and remaining in the unemployed state.

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Section: Literature Reviewmentioning

confidence: 99%

Mathematical Analysis of the Implication of the Proposed Rise in the Retirement Age on the Unemployment Situation in Nigeria

Ayoade¹,

Folaranmi²,

Latunde³

2020

AJS

View full text Add to dashboard Cite

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“…Set a ∼ Normal(2, 1) and b ∼ Gamma(2, 2). Let g(t) = sin(dt 2 ), where d ∼ Beta (10,9). We know that φ a (ζ) < ∞ for all ζ ∈ R, and that b has centered absolute moments of any order.…”

Section: Theorem 32 (Existence and Uniqueness)mentioning

confidence: 99%

“…In particular, delays play a key role in Biomathematics (population dynamics, infectious diseases, physiology, biotic population, immunology, neural networks and cell kinetics) [4][5][6], but also in other realms like Chemistry [7,Ch. 4], Engineering [8], Economics and Finance [9,10].…”

Section: Introductionmentioning

confidence: 99%

$$\mathrm {L}^p$$-calculus Approach to the Random Autonomous Linear Differential Equation with Discrete Delay

2019

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In this paper, we provide a full probabilistic study of the random autonomous linear differential equation with discrete delay τ > 0: x (t) = ax(t) + bx(t − τ), t ≥ 0, with initial condition x(t) = g(t), −τ ≤ t ≤ 0. The coefficients a and b are assumed to be random variables, while the initial condition g(t) is taken as a stochastic process. By using L p-calculus, we prove that, under certain conditions, the deterministic solution constructed with the method of steps that involves the delayed exponential function is an L p-solution too. An analysis of L p-convergence when the delay τ tends to 0 is also performed in detail.

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“…In this study, it is shown that avenues for skill development play an important role to control unemployment. Taking the concept from Misra and Singh [10,11], Harding and Neamtu [6] proposed a continuously distributed delay mathematical model to study the problem of unemployment in a country, where both natives and migrant unemployed persons search for jobs.…”

Section: Introductionmentioning

confidence: 99%

Combating unemployment through skill development

Singh

Misra

2020

NAMC

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In this paper, we propose and analyze a nonlinear mathematical model to study the effect of skill development on unemployment. We assume that government promulgates different levels of skill development programs for unemployed persons through which two different categories of skilled persons, namely, the low-skilled and the highly-skilled persons, are coming out and the highly-skilled persons are able to create vacancies. The model is studied using stability theory of nonlinear differential equations. We find analytically that there exists a unique positive equilibrium point of the proposed model system under some conditions. Also, the resulting equilibrium is locally as well as globally stable under certain conditions. The effective use of implemented policies to control unemployment by providing skills to unemployed persons and the new vacancies created by highly-skilled persons are identified by using optimal control analysis. Finally, numerical simulation is carried out to support analytical findings.

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A Dynamic Model of Unemployment with Migration and Delayed Policy Intervention

Cited by 25 publications

References 18 publications

Mathematical Analysis of the Implication of the Proposed Rise in the Retirement Age on the Unemployment Situation in Nigeria

Mathematical Analysis of the Implication of the Proposed Rise in the Retirement Age on the Unemployment Situation in Nigeria

$$\mathrm {L}^p$$-calculus Approach to the Random Autonomous Linear Differential Equation with Discrete Delay

Combating unemployment through skill development

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