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 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 Dynamics of a Predator–Prey Model with the Effect of Oscillation of Immigration of the Prey

Diversity ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 23
Author(s):  
Jawdat Alebraheem
Keyword(s):  
Global Stability ◽  
Stability Conditions ◽  
Dynamic Behaviors ◽  
Predator Prey ◽  
Local And Global Stability ◽  
Predator Prey Model ◽  
Prey Model ◽  
Proposed Model

In this article, the use of predator-dependent functional and numerical responses is proposed to form an autonomous predator–prey model. The dynamic behaviors of this model were analytically studied. The boundedness of the proposed model was proven; then, the Kolmogorov analysis was used for validating and identifying the coexistence and extinction conditions of the model. In addition, the local and global stability conditions of the model were determined. Moreover, a novel idea was introduced by adding the oscillation of the immigration of the prey into the model which forms a non-autonomous model. The numerically obtained results display that the dynamic behaviors of the model exhibit increasingly stable fluctuations and an increased likelihood of coexistence compared to the autonomous model.

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