Results 31 to 40 of about 856 (156)
Global periodic solutions in a plankton-fish interaction model with toxication delay
Nonlinear Engineering, 2018 In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
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ℋ∞ constant gain state feedback stabilization of stochastic hybrid systems with Wiener process
Mathematical Problems in Engineering, Volume 2004, Issue 4, Page 333-345, 2004., 2004 This paper considers the stabilization problem of the class of continuous‐time linear stochastic hybrid systems with Wiener process. The ℋ∞ state feedback stabilization problem is treated. A state feedback controller with constant gain that does not require access to the system mode is designed.
E. K. Boukas, N. F. Al-Muthairi
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Within-host models of dengue virus transmission with immune response
Computational and Mathematical Biophysics, 2023 Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics.
Muthu Poosan, Modak Bikash
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Analysis of chaotic and hyperchaotic conservative complex nonlinear systems
, 2017 The aim of this paper is to introduce and analyze chaotic and hyperchaotic conservative complex nonlinear systems. These systems appear in several branches of applied sciences.
M. Gamal, Ahmed K. Mansour
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Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
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Open Mathematics, 2023 In this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number R0{R}_{0} is calculated, and if R01{R}_{0}\gt 1, there exists a unique endemic ...
Ding Yanlin, Jiao Jianjun
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Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 137-152, 2003., 2003 This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm‐bounded uncertainties are considered. Linear matrix inequality (LMIs) delay‐dependent sufficient conditions for both stability and stabilizability and ...
D. Mehdi, E. K. Boukas
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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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On eventual stability of impulsive systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 485-494, 2001., 2001 The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.
A. A. Soliman
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Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity
Computational and Mathematical Biophysics, 2021 A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration.
Caga-anan Randy L. +5 more
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