Results 31 to 40 of about 669 (121)
Investigation of interval stability of linear systems of neutral type of Lyapunov function method
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 71-81, 2002., 2002 Systems of differential equations with deviating argument of neutral type [1, 3, 8] are used. The mathematical model takes into account not only the previous moments of time, but also the speed of their change. These equations more adequately describe the dynamics of processes, but their investigation faces significant difficulties.
Denis Ya. Khusainov
wiley +1 more source
Open Mathematics, 2019 Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ...
Han Sufang +4 more
doaj +1 more source
Global Stability for an SEIR Epidemiological Model with Varying Infectivity and Infinite Delay [PDF]
, 2009 A recent paper (Math. Biosci. and Eng. (2008) 5:389-402) presented an SEIR model using an infinite delay to account for varying infectivity. The analysis in that paper did not resolve the global dynamics for R0 \u3e 1.
McCluskey, C. Connell
core +2 more sources
The method of averaging and functional differential equations with delay
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 8, Page 497-511, 2001., 2001 We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an infinite‐dimensional Banach space, our analysis is achieved in ℝn. Our results are formulated in classical mathematics. They are proved within Internal Set Theory which is
Mustapha Lakrib
wiley +1 more source
Global dynamics of a novel delayed logistic equation arising from cell biology [PDF]
, 2019 The delayed logistic equation (also known as Hutchinson's equation or Wright's equation) was originally introduced to explain oscillatory phenomena in ecological dynamics.
Baker, Ruth E., Röst, Gergely
core +2 more sources
Qualitative Analysis of Nonconvolution Volterra Summation Equations
International Journal of Differential Equations, 2019 This paper is first in a series of papers in which we consider the vector nonconvolution Volterra summation equation x(t) = a(t)− t−1 ∑ s=0 C(t, s)x(s), t ∈ Z where x and a are k-vectors, k ≥ 1, while C is an k × k matrix.
Y. Raffoul
semanticscholar +1 more source
On the “freezing” method for nonlinear nonautonomous systems with delay
International Journal of Stochastic Analysis, Volume 14, Issue 3, Page 283-292, 2001., 2001 Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the “freezing” method for ordinary differential equations.
Michael I. Gil′
wiley +1 more source
Analysis of Control Interventions against Malaria in communities with Limited Resources
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 The aim of this paper is to analyse the potential impact of multiple current interventions in communities with limited resources in order to obtain optimal control strategies and provide a basis for future predictions of the most effective control ...
Bakare E.A. +3 more
doaj +1 more source
Hopf bifurcation in a dynamic IS-LM model with time delay [PDF]
, 2005 In this paper we investigate the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions.
Chilarescu, Constantin +2 more
core +2 more sources
Many Types of Stability of Abstract First and Second Order Linear Dynamic Equations on Time Scales
Journal of Scientific Research in Science, 2018 In this paper we investigate sufficient conditions for many types of stability of both of the abstract first order linear dynamic equations on time scales of the form and the second order linear dynamic equations of the form Where , the space of ...
A. Hamza, G. A. Ismail, Dina Ahmed
semanticscholar +1 more source