A note on stability of the vertical uniform rotations of the heavy top [PDF]
, 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
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On study of fractional order epidemic model of COVID-19 under non-singular Mittag–Leffler kernel [PDF]
Results in Physics, 2021 This paper investigates the analysis of the fraction mathematical model of the novel coronavirus (COVID-19), which is indeed a source of threat all over the globe.
Sara Salem Alzaid +1 more
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On nonuniform exponential stability for skew-evolution semiflows on Banach spaces [PDF]
arXiv, 2010 The paper considers some concepts of nonuniform asymptotic stability for skew-evolution semiflows on Banach spaces. The obtained results clarify differences between the uniform and nonuniform cases.
Megan, Mihail, Stoica, Codruta
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Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative [PDF]
Results in Physics, 2021 This manuscript addressing the dynamics of fractal-fractional type modified SEIR model under Atangana-Baleanu Caputo (ABC) derivative of fractional order y and fractal dimension p for the available data in Pakistan.
Muhammad Arfan +7 more
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Weak instability of Hamiltonian equilibria [PDF]
arXiv, 2012 This is an expository paper on Lyapunov stability of equilibria of autonomous Hamiltonian systems. Our aim is to clarify the concept of weak instability, namely instability without non-constant motions which have the equilibrium as limit point as time ...
Zampieri, Gaetano
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Some nonlinear inequalities and applications [PDF]
arXiv, 2010 Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
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Analysis of infectious disease transmission and prediction through SEIQR epidemic model
Nonautonomous Dynamical Systems, 2021 In literature, various mathematical models have been developed to have a better insight into the transmission dynamics and control the spread of infectious diseases.
Tyagi Swati +4 more
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Modeling and prediction of the third wave of COVID-19 spread in India
Computational and Mathematical Biophysics, 2022 In this work, we proposed a simple SEIHR compartmental model to study and analyse the third wave of COVID-19 in India. In addition to the other features of the disease, we also consider the reinfection of recovered individuals in the model.
Bandekar Shraddha Ramdas +6 more
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Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator
Computational and Mathematical Biophysics, 2023 In this work, the dynamics of a food chain model with disease in the predator and the Allee effect in the prey have been investigated. The model also incorporates a Holling type-III functional response, accounting for both disease transmission and ...
Kumar Bipin, Sinha Rajesh Kumar
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A mathematical model to study the spread of COVID-19 and its control in India
Computational and Mathematical Biophysics, 2023 In this article, a nonlinear mathematical model is proposed and analyzed to study the spread of coronavirus disease (COVID-19) and its control. Due to sudden emergence of a peculiar kind of infection, no vaccines were available, and therefore, the ...
Naresh Ram +3 more
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