Results 31 to 40 of about 707 (130)
Computational and Mathematical Biophysics, 2023 The four-dimensional food-web system consisting of two prey species for a generalist middle predator and a top predator is proposed and investigated. The middle predator is predating over both the prey species with a modified Holling type-II functional ...
Rani Surbhi +2 more
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International Journal of Stochastic Analysis, Volume 11, Issue 2, Page 209-216, 1998., 1997 The present work is devoted to the study of stability of the zero solution to linear impulsive differential‐difference equations with variable impulsive perturbations. With the aid of piecewise continuous auxiliary functions, which are generalizations of the classical Lyapunov′s functions, sufficient conditions are found for the uniform stability and ...
D. D. Bainov +2 more
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Optimal Control for a Tuberculosis Model with Exogenous Reinfection under the Influence of Stigma
Computational and Mathematical Biophysics, 2022 Often described as the world’s most deadly infectious disease, Tuberculosis remains a serious health threat in many parts of the world, especially in the developing countries.
Liguarda Remilou +2 more
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Generalized stability of motion of impulsive Lurie‐Postnikov systems with structural perturbation
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 481-492, 1998., 1997 This paper investigates the absolute stability on ℊs of the zero solution of Lurie‐Postnikov systems with impulses and structural perturbation. A number of absolutely stable on ℊs theorems of the Lyapunov type for Lurie‐Postnikov systems are proved, extending and generalizing previous work on the subject.
A. A. Martynyuk, I. P. Stavroulakis
wiley +1 more source
A note on stability of the vertical uniform rotations of the heavy top
, 2012 We prove that the stability problem of a vertical uniform rotation of a heavy top is completely solved by using the linearization method and the conserved quantities of the differential system which describe the rotation of the heavy ...
Comanescu, Dan
core +1 more source
New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
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Computational and Mathematical Biophysics, 2023 Measles is a highly communicable viral infection that mostly affects children aged 5 years and below. Maternal antibodies in neonates help protect them from infectious diseases, including measles. However, maternal antibodies disappear a few months after
Opoku Samuel +2 more
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Lyapunov theorems for Banach spaces
, 1993 We present a spectral mapping theorem for semigroups on any Banach space $E$. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for $E$-valued functions.
Latushkin, Yuri +1 more
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Generalized practical stability results by perturbing Lyapunov functions
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 69-75, 1996., 1995 It is known that practical stability is neither stronger nor weaker than Lyapunov stability. In this paper we combine perturbing Lyapunov technique with stability in terms of two measures to obtain nonuniform practical stability results under weaker assumptions. We also use comparison methods to obtain these results.
Donna Stutson, A. S. Vatsala
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Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect
Open Mathematics, 2022 We propose and analyze a Lotka-Volterra commensal model with an additive Allee effect in this article. First, we study the existence and local stability of possible equilibria.
He Xiaqing +3 more
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