The Role of Normal Goods in Global Stability

2021 ◽  
Author(s):  
Donald C. Keenan ◽  
Taewon Kim
Biochemistry ◽  
2012 ◽  
Vol 51 (5) ◽  
pp. 995-1004 ◽  
Author(s):  
Ikechukwu Achilonu ◽  
Sylvia Fanucchi ◽  
Megan Cross ◽  
Manuel Fernandes ◽  
Heini W. Dirr

2021 ◽  
pp. 4930-4952
Author(s):  
Wassan Hussein ◽  
Huda Abdul Satar

In this paper, an eco-epidemiological model with media coverage effect is proposed and studied. A prey-predator model with modified Leslie-Gower and functional response is studied. An  -type of disease in prey is considered.  The existence, uniqueness and boundedness of the solution of the model are discussed. The local and global stability of this system are carried out. The conditions for the persistence of all species are established. The local bifurcation in the model is studied. Finally, numerical simulations are conducted to illustrate the analytical results.


Author(s):  
V. Mikheev ◽  
S. Lukonin ◽  
Y. Safronova

This paper raises the problem of the place determination and the role of the Popular Republic of China in the context of the modern multipolar world. The author reveals this question in the light of Chinese experience of political development in the XXth century, modern achievements as well as problems and contradictions in its foreign and domestic policy. The article also analyses “problem points” of the Chinese foreign policy and the contemporary international relations system which are China’s greatest concern for they threaten global stability. The author expounds and elucidates Chinese foreign policy strategy in the XXIth century and China’s mission in a changing world.


2014 ◽  
Vol 751 ◽  
Author(s):  
Joël Tchoufag ◽  
Jacques Magnaudet ◽  
David Fabre

AbstractPath and wake instabilities of buoyancy-driven oblate spheroidal bubbles with a prescribed shape rising freely in a viscous fluid otherwise at rest are studied using global stability analysis, following the technique recently developed for a coupled fluid $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}+$ body system by Tchoufag, Fabre & Magnaudet (J. Fluid Mech. vol. 740, 2014, pp. 278–311). The essential role of the wake on the path instability is evidenced by comparing the shape of the global stability diagram with that obtained in the case of a fixed bubble. However, dramatic differences are also found, since the critical curve of the coupled system mostly involves low- and high-frequency oscillating modes, whereas that of a fixed bubble only involves stationary modes. Comparison of the present predictions with results obtained through direct numerical simulation is achieved in several regimes, confirming the predictions of the linear approach but also highlighting some of its limitations when the system successively encounters several unstable modes.


2010 ◽  
Vol 83 (Suppl_1) ◽  
pp. 408-408
Author(s):  
Sergey Medvedev ◽  
Hua Pan ◽  
Jun Ma ◽  
Norman Hecht ◽  
Richard Schultz

Policy Papers ◽  
2012 ◽  
Vol 2012 (88) ◽  
Author(s):  

This note provides guidance to staff on the conduct of surveillance in the context of Article IV consultations, a core activity of the Fund. Surveillance involves the continuous monitoring of members‘ economic and financial policies and their impact on their own and global stability. During Article IV consultations, staff holds pointed discussions with country authorities on the economic situation, the authorities‘ policies and how these affect the country‘s stability, the role of potential or actual spillovers where relevant, and desirable policy adjustments. These discussions are then reported to the Fund‘s Executive Board for its consideration. The goal, through thorough analysis, candid discussions, and a peer-review mechanism, is to promote the stability of members‘ economies, as well as the effective operation of the international monetary system, including through maintaining global stability.


Author(s):  
Ozkan Karabacak ◽  
Aysegul Kivilcim ◽  
Rafael Wisniewski

For a dynamical system, it is known that the existence of a Lyapunov density implies almost global stability of an equilibrium. It is then natural to ask whether the existence of a common Lyapunov density for a nonlinear switched system implies almost global stability, in the same way as a common Lyapunov function implies global stability for nonlinear switched systems. In this work, the answer to this question is shown to be affirmative as long as switchings satisfy a dwell-time constraint with an arbitrarily small dwell time. As a straightforward extension of this result, we employ multiple Lyapunov densities in analogy with the role of multiple Lyapunov functions for the global stability of switched systems. This gives rise to a minimum dwell time estimate to ensure almost global stability of nonlinear switched systems, when a common Lyapunov density does not exist. The results obtained for continuous-time switched systems are based on some sufficient conditions for the almost global stability of discrete-time non-autonomous systems. These conditions are obtained using the duality between Frobenius-Perron operator and Koopman operator.


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