Results 41 to 50 of about 334 (139)

Global properties of virus dynamics with B-cell impairment

open access: yesOpen 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
doaj   +1 more source

Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity

open access: yesComputational 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
doaj   +1 more source

Stability analysis for impulsive stochastic fuzzy p-Laplace dynamic equations under Neumann or Dirichlet boundary condition

open access: yesBoundary Value Problems, 2013
Under Neumann or Dirichlet boundary conditions, the stability of a class of delayed impulsive Markovian jumping stochastic fuzzy p-Laplace partial differential equations (PDEs) is considered.
R. Rao, Zhilin Pu
semanticscholar   +1 more source

Generalized stability of motion of impulsive Lurie‐Postnikov systems with structural perturbation

open access: yesInternational 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

Estimates for Solutions of Differential Equations in a Banach Space via Commutators

open access: yesNonautonomous 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
doaj   +1 more source

Asymptotic stability of the time-changed stochastic delay differential equations with Markovian switching

open access: yesOpen Mathematics, 2021
The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching.
Zhang Xiaozhi   +2 more
doaj   +1 more source

Practical Stability of Caputo fractional differential equations by Lyapunov functions

open access: yes, 2016
The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given ...
R. Agarwal, S. Hristova, D. Regan
semanticscholar   +1 more source

New approach to asymptotic stability: time‐varying nonlinear systems

open access: yesInternational 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
wiley   +1 more source

Optimal Control for a Tuberculosis Model with Exogenous Reinfection under the Influence of Stigma

open access: yesComputational 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
doaj   +1 more source

Exploring Stochastic Fractional Delay Integrodifferential System

open access: yesAsia Pacific Journal of Mathematics
. This study examines the system of stochastic fractional delay integrodifferential equations with Gaussian noise. We employ the Picard-Lindelof successive approximation scheme for existence and uniqueness.
M. L. Maheswari, Karthik Muthusamy
semanticscholar   +1 more source

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