Results 61 to 70 of about 875,467 (271)

A note for the global stability of a delay differential equation of hepatitis B virus infection.

open access: yesMathematical biosciences and engineering : MBE, 2011
The global stability for a delayed HIV-1 infection model is investigated. It is shown that the global dynamics of the system can be completely determined by the reproduction number, and the chronic infected equilibrium of the system is globally ...
B. Guo, Liming Cai
semanticscholar   +1 more source

Global Boundedness for a Delay Differential Equation [PDF]

open access: yesTransactions of the American Mathematical Society, 1986
The inequality ( ∂ t u − Δ u ) ( t , x ) ≤ u ( t , x ) ( 1 − u ( t − τ , x ) )
openaire   +1 more source

Normal form for travelling kinks in discrete Klein-Gordon lattices

open access: yes, 2005
We study travelling kinks in the spatial discretizations of the nonlinear Klein--Gordon equation, which include the discrete $\phi^4$ lattice and the discrete sine--Gordon lattice.
Aigner   +27 more
core   +2 more sources

On stability and boundedness of solutions of a certain fourth-order delay differential equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
Using a Razumikhin - type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differential equation.
Emmanuel O. Okoronkwo
doaj   +1 more source

Distributed delays stabilize negative feedback loops [PDF]

open access: yes, 2009
Linear scalar differential equations with distributed delays appear in the study of the local stability of nonlinear differential equations with feedback, which are common in biology and physics. Negative feedback loops tend to promote oscillation around
Bernard, Samuel
core   +2 more sources

Quintic B-Spline Technique for Numerical Treatment of Third Order Singular Perturbed Delay Differential Equation [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2019
In this paper, a class of third order singularly perturbed delay differential equation with large delay is considered for numerical treatment. The considered equation has discontinuous convection-diffusion coefficient and source term.
Mandeep Kaur Vaid, Geeta Arora
doaj   +1 more source

Gaussian approximations for stochastic systems with delay: chemical Langevin equation and application to a Brusselator system

open access: yes, 2014
We present a heuristic derivation of Gaussian approximations for stochastic chemical reaction systems with distributed delay. In particular we derive the corresponding chemical Langevin equation.
Benson S. W.   +6 more
core   +1 more source

A normal form for excitable media

open access: yes, 2006
We present a normal form for travelling waves in one-dimensional excitable media in form of a differential delay equation. The normal form is built around the well-known saddle-node bifurcation generically present in excitable media.
Georg A. Gottwald   +4 more
core   +2 more sources

Delay Differential Equations

open access: yes, 2015
This is a short presentation on the topic of 'Delay Differential Equations'. In the latter part, I discuss a DDE system - the Mackey-Glass equation, in some detail (phase diagrams, bifurcations, chaos).
openaire   +2 more sources

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