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Almost Global Stochastic Stability [PDF]
SIAM Journal on Control and Optimization, 2006 We develop a method to prove almost global stability of stochastic differential equations in the sense that almost every initial point (with respect to the Lebesgue measure) is asymptotically attracted to the origin with unit probability. The method can be viewed as a dual to Lyapunov's second method for stochastic differential equations and extends ...
Arnold L., Ramon van Handel
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Oscillation and Global Asymptotic Stability
Journal of Mathematical Analysis and Applications, 2000 The authors establish oscillation results and global asymptotic stability for the difference equation \[ y_{n+1}= A+{y_ny_{n-2} \cdots y_{n-(2k-2)} \over y_{n-1}y_{n-3} \cdots y_{n-(2k-1)}},\;A>0,\;k\geq 2,\;n\geq 2k. \] For related results see the paper of \textit{R. De Vault}, \textit{G. Ladas} and \textit{S. W. Schultz} [Proc. Am. Math. Soc. 126, No.
Dimitar P. Mishev, William T. Patula
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Global Stability Conditions on the Plane [PDF]
SSRN Electronic Journal, 2003 The paper considers price adjustment on the plane and derives global stability conditions for such dynamics. First, we examine the well-known Scarf Example, to obtain and analyze a global stability condition for this case. Next, for a general class of excess demand functions, a set of conditions is identified which guarantee not only convergence to ...
Anjan Mukherji, Anjan Mukherji
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Landscape and flux for quantifying global stability and dynamics of game theory. [PDF]
PLoS One, 2018 Game theory has been widely applied to many areas including economics, biology and social sciences. However, it is still challenging to quantify the global stability and global dynamics of the game theory.
Xu L, Wang J.
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Global Stability Analysis of Mechanical Prosthetic Finger Adaptive Control [PDF]
Revista Română de Informatică și Automatică, 2022 This technical note presents a discussion on the dynamic modeling and analysis of the adaptive controller of a Mechanical Prosthetic finger with constraints mass (m) of the mechanical finger and constant friction (K1) with variation in spring constraint (
Pritam CHAKRABORTY +3 more
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The Global Stability of M33 in MOND [PDF]
The Astrophysical Journal, 2020 Abstract The dynamical stability of disk galaxies is sensitive to whether their anomalous rotation curves are caused by dark matter halos or Milgromian dynamics (MOND). We investigate this by setting up a MOND model of M33. We first simulate it in isolation for 6 Gyr, starting from an initial good match to the rotation curve (RC).
Graeme Candlish +6 more
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Dynamical analysis of fractional-order Holling type-II food chain model
Mathematical Biosciences and Engineering, 2021 This paper proposed a fractional-order Holling type-II food chain model. First, we verified the existence, uniqueness, nonnegativity and boundedness of the solution of the model, and some conditions for equilibrium existence and local stability were ...
Cuimin Liu, Zhen Wang, Bo Meng
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Global dynamics of IAV/SARS-CoV-2 coinfection model with eclipse phase and antibody immunity
Mathematical Biosciences and Engineering, 2023 Coronavirus disease 2019 (COVID-19) and influenza are two respiratory infectious diseases of high importance widely studied around the world. COVID-19 is caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), while influenza is ...
A. M. Elaiw +2 more
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Mathematical Biosciences and Engineering, 2021 In this paper, we consider a class of SI epidemic model with nonlinear incidence, feedback controls and four different discrete time delays. By skillfully constructing appropriate Lyapunov functionals, and combining Lyapunov-LaSalle invariance principle ...
Ke Guo, Wanbiao Ma
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Nominal Stability and Financial Globalization [PDF]
Journal of Money, Credit and Banking, 2014 Over the past four decades, there has been a substantial increase in financial globalization, that is, rapid growth in gross external portfolio positions. There has also been a substantial fall in the variability of inflation. Many economists have conjectured that financial globalization contributed to the improved inflation performance.
Devereux, Michael B. +2 more
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