Results 41 to 50 of about 1,113 (163)
An extension to the planar Markus-Yamabe Jacobian conjecture [PDF]
arXiv, 2021 We extend the planar Markus-Yamabe Jacobian Conjecture to differential systems having jacobian matrix with eigenvalues with negative or zero real parts.
arxiv
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
doaj +1 more source
Cluster formation for multi-strain infections with cross-immunity [PDF]
, 2005 Many infectious diseases exist in several pathogenic variants, or strains, which interact via cross-immunity. It is observed that strains tend to self-organise into groups, or clusters.
Clavez, V. +2 more
core +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
doaj +1 more source
Boundary 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
Liapunov's direct method for Birkhoffian systems: Applications to electrical networks [PDF]
Journal of Geometry and Physics, 57(2007), 2213-2228, 2007 In this paper, the concepts and the direct theorems of stability in the sense of Liapunov, within the framework of Birkhoffian dynamical systems on manifolds, are considered. The Liapunov-type functions are constructed for linear and nonlinear LC and RLC electrical networks, to prove stability under certain conditions.
arxiv +1 more source
Practical Stability of Caputo fractional differential equations by Lyapunov functions
, 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
Exploring Stochastic Fractional Delay Integrodifferential System
Asia 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
Effect of population migration and punctuated lockdown on the spread of infectious diseases
Nonautonomous Dynamical Systems, 2021 One of the critical measures to control infectious diseases is a lockdown. Once past the lockdown stage in many parts of the world, the crucial question now concerns the effects of relaxing the lockdown and finding the best ways to implement further ...
Kiran Ravi +3 more
doaj +1 more source
Nonautonomous Dynamical Systems, 2021 In this paper, we formulate a temperature-dependent model for malaria transmission dynamics which includes immature stages of mosquitoes. The model is constructed by using ordinary differential equations with some parameters which are periodic functions.
Traoré Bakary +3 more
doaj +1 more source