scholarly journals Global Stability of an Economic Model with a Continuous Delay of Kaldor Type Modified

2018 ◽  
Vol 2018 ◽  
pp. 1-18
Author(s):  
Aka Fulgence Nindjin ◽  
Tetchi Albin N’guessan ◽  
Sahoua Hypolithe Okou A Kpetihi ◽  
Kessé Tiban Tia
Keyword(s):  
Global Stability ◽  
Economic Model ◽  
Equilibrium Points ◽  
The Other ◽  
Boundedness Of Solutions ◽  
Economic Dynamics ◽  
Local And Global Stability ◽  
Stability Of Equilibrium ◽  
Continuous Delay ◽  
The One

This paper studies continuous nonlinear economic dynamics with a continuous delay of a Kaldor type modified in dimension two. The important results are, on the one hand, the boundedness of solutions, the existence of an attractive set, and the permanence of the system and, on the other hand, the local and global stability of equilibrium points.

scholarly journals Cyclic Growth and Global Stability of Economic Dynamics of Kaldor Type in Two Dimensions

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Aka Fulgence Nindjin ◽  
Albin Tetchi N’Guessan ◽  
Hypolithe Okou ◽  
Kessé Thiban Tia
Keyword(s):  
Global Stability ◽  
Limit Cycle ◽  
Two Dimensions ◽  
Saving Rate ◽  
Bounded Solutions ◽  
Economic Dynamics ◽  
Local And Global Stability ◽  
Investment Rate ◽  
Stability Of Equilibrium

This article proposes nonlinear economic dynamics continuous in two dimensions of Kaldor type, the saving rate and the investment rate, which are functions of ecological origin verifying the nonwasting properties of the resources and economic assumption of Kaldor. The important results of this study contain the notions of bounded solutions, the existence of an attractive set, local and global stability of equilibrium, the system permanence, and the existence of a limit cycle.

scholarly journals Global Dynamics of a Mathematical Model on Smoking

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zainab Alkhudhari ◽  
Sarah Al-Sheikh ◽  
Salma Al-Tuwairqi
Keyword(s):  
Mathematical Model ◽  
Global Stability ◽  
Numerical Simulations ◽  
The Other ◽  
Global Dynamics ◽  
Local And Global Stability ◽  
Two Equilibria

We derive and analyze a mathematical model of smoking in which the population is divided into four classes: potential smokers, smokers, temporary quitters, and permanent quitters. In this model we study the effect of smokers on temporary quitters. Two equilibria of the model are found: one of them is the smoking-free equilibrium and the other corresponds to the presence of smoking. We examine the local and global stability of both equilibria and we support our results by using numerical simulations.

scholarly journals Mathematical Model for Impact of Media on Cleanliness Drive in India

2018 ◽  
Vol 7 (1) ◽  
pp. 29-36
Author(s):  
N H Shah ◽  
J S Patel ◽  
F A Thakkar ◽  
M H Satia
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Lyapunov Function ◽  
Global Stability ◽  
Transfer Rate ◽  
Equilibrium Points ◽  
Endemic Equilibrium ◽  
Local And Global Stability

A mathematical model on cleanliness drive in India is analysed for active cleaners and passive cleaners. Cleanliness and endemic equilibrium points are found. Local and global stability of these equilibrium points are discussed using Routh-Hurwitz criteria and Lyapunov function respectively. Impact of media (as a control) is studied on passive cleaners to become active. Numerical simulation of the model is carried out which indicates that with the help of media transfer rate to active cleaners from passive cleaners is higher.

Fiscal Reforms in a Country's Competitiveness Development

2018 ◽  
pp. 265-287
Author(s):  
Mária Janošková ◽  
Adriana Csikósová ◽  
Katarína Čulková
Keyword(s):  
Economic Policy ◽  
Economic Model ◽  
The State ◽  
The Other ◽  
State Budget ◽  
Public Finances ◽  
Political Ideas ◽  
Other Hand ◽  
Fiscal Reforms ◽  
The One

The chapter attention is given to fiscal reforms in Slovakia. Reform measurements and their impact on the state budget have been investigated in selected areas of the economy. Reforms are always lively discussed issue. On the one hand, they are reasoned by expert arguments, but also by political ideas and emotions. On the other hand, we must see that the reforms affect all citizens, mainly children, students, workers, unemployed and pensioners. The chapter contains a brief overview of the most important reforms in the years 2002-2006 as well as preliminary impacts on the economy, inhabitants and public finances. The aim of this chapter is to describe the fiscal reforms in Slovakia, to bring close principles that were behind the changes and to evaluate their influence on the country's competitiveness. The aim is to show how economic policy and reforms have changed the socio-economic model in Slovakia and what results it has brought.

Controlling Asthma Due to Air Pollution

2020 ◽  
pp. 1-22
Author(s):  
Ankush H. Suthar ◽  
Purvi M. Pandya
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Air Pollution ◽  
Control Theory ◽  
Global Stability ◽  
Optimal Control Theory ◽  
Positive Impact ◽  
Equilibrium Points ◽  
Local And Global Stability ◽  
Number Of Individuals

The health of our respiratory systems is directly affected by the atmosphere. Nowadays, eruption of respiratory disease and malfunctioning of lung due to the presence of harmful particles in the air is one of the most sever challenge. In this chapter, association between air pollution-related respiratory diseases, namely dyspnea, cough, and asthma, is analysed by constructing a mathematical model. Local and global stability of the equilibrium points is proved. Optimal control theory is applied in the model to optimize stability of the model. Applied optimal control theory contains four control variables, among which first control helps to reduce number of individuals who are exposed to air pollutants and the remaining three controls help to reduce the spread and exacerbation of asthma. The positive impact of controls on the model and intensity of asthma under the influence of dyspnea and cough is observed graphically by simulating the model.

Dynamic Properties of the Predator–Prey Discontinuous Dynamical System

2012 ◽  
Vol 67 (1-2) ◽  
pp. 57-60 ◽  
Author(s):  
Ahmed M. A. El-Sayed ◽  
Mohamed E. Nasr
Keyword(s):  
Dynamical System ◽  
Global Stability ◽  
Existence And Uniqueness ◽  
Dynamic Properties ◽  
Equilibrium Points ◽  
Stable Solution ◽  
Predator Prey ◽  
Local And Global Stability ◽  
Discontinuous Dynamical System

In this work, we study the dynamic properties (equilibrium points, local and global stability, chaos and bifurcation) of the predator-prey discontinuous dynamical system. The existence and uniqueness of uniformly Lyapunov stable solution will be proved

Stability analysis in prey–predator system with mixed functional response

2016 ◽  
Vol 13 (4) ◽  
pp. 364-369
Author(s):  
V. Madhusudanan ◽  
S. Vijaya
Keyword(s):  
Global Stability ◽  
Numerical Simulations ◽  
Functional Response ◽  
Equilibrium Points ◽  
Sufficient Conditions ◽  
Type I ◽  
Content Type ◽  
Local And Global Stability ◽  
Interior Equilibrium ◽  
Predator System

Purpose This paper aims to propose and analyse a two-prey–one-predator system with mixed functional response. Design/methodology/approach The predator exhibits Holling type IV functional response to one prey and Holling type I response to other. The occurrence of various positive equilibrium points with feasibility conditions are determined. The local and global stability of interior equilibrium points are examined. The boundedness of system is analysed. The sufficient conditions for persistence of the system is obtained by using Bendixson–Dulac criteria. Numerical simulations are carried out to illustrate the analytical findings. Findings The authors have derived the local and global stability condition of interior equilibrium of the system. Originality/value The authors observe that the critical values of some system parameter undergo Hopf bifurcation around some selective equilibrium. Hence, numerical simulations reveal the condition for the system to be stable and oscillatory.

LOCAL AND GLOBAL STABILITY OF SWITCHING REGULATORS

1995 ◽  
Vol 05 (03) ◽  
pp. 305-315 ◽  
Author(s):  
HENRY CHUNG ◽  
ADRIAN IOINOVICI
Keyword(s):  
Global Stability ◽  
Closed Loop ◽  
Equilibrium Points ◽  
Stability Study ◽  
Large Signal ◽  
Time Model ◽  
Local And Global Stability ◽  
Boost Regulator ◽  
Switching Regulators ◽  
Conduction Mode

A discrete-time model of closed-loop PWM regulators is derived to describe their dynamic behavior. No small-ripple approximations are required. The same model serves both local and global stability study: by discarding the nonlinear terms and using the z-transform, stability for small-signal perturbations is checked; by keeping the nonlinear terms (products of disturbances) and using the state-plane portrait, in which equilibrium points are located, stability for large-signal perturbations is studied. The theory is applied to a multiple feedback boost regulator operating in continuous conduction mode. Its local/global stability/instability for different values of the feedback gains is determined based on the new method.

scholarly journals The Stability of Gauss Model Having One-Prey and Two-Predators

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
A. Farajzadeh ◽  
M. H. Rahmani Doust ◽  
F. Haghighifar ◽  
D. Baleanu
Keyword(s):  
Mathematical Biology ◽  
Global Stability ◽  
Equilibrium Points ◽  
Predator Prey ◽  
Local And Global Stability ◽  
Stability Properties ◽  
Interacting Species ◽  
Predator Prey Models ◽  
The Stability

The study of the dynamics of predator-prey interactions can be recognized as a major issue in mathematical biology. In the present paper, some Gauss predator-prey models in which three ecologically interacting species have been considered and the behavior of their solutions in the stability aspect have been investigated. The main aim of this paper is to consider the local and global stability properties of the equilibrium points for represented systems. Finally, stability of some examples of Gauss model with one prey and two predators is discussed.

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