Results 1 to 10 of about 1,126 (115)
Global attractivity of periodic solution in a model of hematopoiesis
Computers and Mathematics With Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +2 more sources
GLOBAL ATTRACTIVITY IN A NONAUTONOMOUS DELAY-LOGISTIC EQUATION
Tamkang Journal of Mathematics, 1995 Consider the nonautonomous delay-Logistic equation \[x'(t)=r(t)x(t)[1-b_1x(t-\tau_1)-b_2x(t-\tau_2)], \quad t\ge 0.\] We obtain sufficient conditions for the positive steady state $x^* =1/(b_1+b_2)$ to be a global attractor. An application of our result also solves a conjecture of Gopalsamy.
Jianhua Shen, Zhi‐Cheng Wang
openalex +4 more sources
Global Attractivity of an Integrodifferential Model of Mutualism [PDF]
Abstract and Applied Analysis, 2014 Sufficient conditions are obtained for the global attractivity of the following integrodifferential model of mutualism:dN1(t)/dt=r1N1(t)[((K1+α1∫0∞J2(s)N2(t-s)ds)/(1+∫0∞J2(s)N2(t-s)ds))-N1(t)],dN2(t)/dt=r2N2(t)[((K2+α2∫0∞J1(s)N1(t-s)ds)/(1+∫0∞J1(s)N1(t-s)ds))-N2(t)], whereri,Ki,andαi,i=1,2, are all positive constants.
Xiangdong Xie +3 more
openaire +3 more sources
Almost global attraction in planar systems [PDF]
Systems & Control Letters, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Global attractivity in a nonlinear difference equation
Applied Mathematics and Computation, 1994 Consider the nonlinear difference equation \[ \text{(E)} \qquad x_ n = a + \sum^ m_{k=1} {b_ k \over x_ n - k}\qquad(n = 0,1,2, \dots) \] where \(a, b_ 1,\dots,b_ m\) are nonnegative numbers with \(b = \sum^ m_{k=1} b_ k > 0\). The equation has a unique positive equilibrium point \(L = {a \over 2} + \sqrt {({a \over 2})^ 2 + B}\).
Philos, C. G. +2 more
openaire +2 more sources
On the Global Attractivity of a Max‐Type Difference Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation , where A > 0 and 0 < α < 1. We prove that every positive solution of this difference equation approaches or is eventually periodic with period 2.
Gelisken, Ali, Cinar, Cengiz
openaire +3 more sources
Global Attractivity in a Genotype Selection Model
Rocky Mountain Journal of Mathematics, 2003 The authors offer a sufficient condition for global attractivity of the delay difference equation \[ x_{n+1}=x_n\exp(\beta_n (1-x_{n-\tau})/(1+x_{n-\tau})).
Tang, Xian Hua, Cheng, Sui Sun
openaire +2 more sources
Electronic skins with a global attraction [PDF]
Nature Electronics, 2018 Magnetic-field sensors integrated on electronic skins can provide an artificial magnetoreception that relies only on geomagnetic fields.
openaire +1 more source
Global Attractivity of a Higher‐Order Difference Equation [PDF]
Discrete Dynamics in Nature and Society, 2012 The aim of this work is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equation where A, B, C are positive real numbers and l, r, k are nonnegative integers, such that l ≤ k.
openaire +3 more sources
Global Attractivity of the Zero Solution for Wright's Equation [PDF]
SIAM Journal on Applied Dynamical Systems, 2014 Summary: In 1955 E. M. Wright proved that all solutions of the delay differential equation \[ \dot x(t) = -\alpha (e^{x(t-1)}-1) \] converge to zero as \(t\to\infty\) for \(\alpha\in(0,3/2]\) and conjectured that this is even true for \(\alpha\in(0,\pi/2)\).
Balázs Bánhelyi +3 more
openaire +3 more sources