Results 71 to 80 of about 1,126 (115)

Global attractivity in a rational recursive sequence

Applied Mathematics and Computation, 2003
The authors investigate the periodic character, invariant intervals and the global attractivity of all positive solutions of the nonlinear difference equation \[ x_{n+1}=\frac{\alpha+\beta x_{n}}{\gamma-x_{n-1}}, \quad n=0,1,\dots, \] where \(\alpha\geq 0\) and \(\beta,\gamma>0.\) It is shown that the positive equilibrium of the equation is a global ...
Wan-Tong Li
exaly   +3 more sources

Global attractivity in nicholson's blowflies

Applicable Analysis, 1992
We established sufficient conditions for the global attractivity of the positive equilibrium of the delay differential equation [Ndot](t) ≡ −δN(t) + PN(t–τ)e−aN(t–τ) which was used by Gurney, Blythe and Nisbet [1] in describing the dynamics of Nicholson's ...
Mustafa R S Kulenovic
exaly   +2 more sources

On the global attractivity controversy for a delay model of hematopoiesis

Applied Mathematics and Computation, 2007
In this short paper it is shown, with the help of the general theory of monotone systems, and under some specific hypotheses for function \(f\) that the trivial equilibrium of the delayed differential equation \[ x'(t)= -\mu x(t) +f(x(t-r)) \] is stable and attracts a large subset of positive solutions, for all the values of the delay \(r\).
Gergely Röst
exaly   +4 more sources

Global attractivity in a recursive sequence

Applied Mathematics and Computation, 2004
The authors consider the rational difference equation \[ x_n = (ax_{n-1} - bx_{n-2})/(c+x_{n-2}) \] with \(a\), \(b\), \(c>0\). The following subjects are addressed: local asymptotic stability of the two equilibria (stability by the first approximation); invariant intervals (``manifolds''); global attractivity of the equilibria.
Xiaofan Yang   +3 more
openaire   +1 more source

On the global attractivity of a class of switching systems

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
We investigate the stability properties of a class of switching systems of the form x/spl dot/=A/sub i/x, A/sub i//spl isin/IR/sup n/spl times/n/, A/sub i//spl isin//spl Ascr//spl Delta/=A{A/sub 1/, ..., A/sub m/}. We consider sets of matrices /spl Ascr/, where no single matrix T exists that simultaneously transforms each A/sub i//spl isin/ /spl Ascr ...
Robert Shorten, Fiacre Ó Cairbre
openaire   +1 more source

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