Results 51 to 60 of about 179 (115)
Global properties of virus dynamics with B-cell impairment
Open Mathematics, 2019 In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M. +2 more
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Optimal Control for a COVID-19 Model Accounting for Symptomatic and Asymptomatic
Computational and Mathematical Biophysics, 2020 Building on an SEIR-type model of COVID-19 where the infecteds are further divided into symptomatic and asymptomatic, a system incorporating the various possible interventions is formulated.
Macalisang Jead M. +3 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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A Fractional‐Order Peer Influence Mathematical Model
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah +5 more
wiley +1 more source
Solutions to Lyapunov stability problems: nonlinear systems with continuous motions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 587-596, 1994., 1992 The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. The conditions are established by utilizing properties of o‐uniquely bounded sets, which
Ljubomir T. Grujić
wiley +1 more source
Estimates for Solutions of Differential Equations in a Banach Space via Commutators
Nonautonomous Dynamical Systems, 2018 In a Banach space we consider the equation dx(t)/dt = (A + B(t))×(t) (t ≥ 0), where A is a constant bounded operator, and B(t) is a bounded variable operator.Norm estimates for the solutions of the considered equation are derived in terms of the ...
Gil’ Michael
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Stability analysis in terms of two measures for dynamic systems on time scales
International Journal of Stochastic Analysis, Volume 6, Issue 4, Page 325-344, 1993., 1993 Using the theory of Lyapunov′s second method developed earlier for time scales, we extend our stability results to two measures which give rise to unification of several stability concepts in a single set up.
Billûr Kaymakçalan
wiley +1 more source
Computational and Mathematical BiophysicsTo examine the dynamics of a predator’s interaction with two prey species, this study develops a comprehensive mathematical model that accounts for ecological complexities, including the Allee effect, prey switching behavior, and prey refuge.
Kadhim Atheer Jawad +3 more
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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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International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 261-274, 1992., 1991 Differential equations of the form y′ = f(t, y, y′), where f is not necessarily linear in its arguments, represent certain physical phenomena and solutions have been known for quite some time. The well known Clairut′s and Chrystal′s equations fall into this category.
M. Venkatesulu, P. D. N. Srinivasu
wiley +1 more source