Results 31 to 40 of about 1,441 (286)
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation [PDF]
, 2009 In this paper, we consider a non-autonomous stochastic Lotka-Volterra competitive system dxi(t) = xi(t)[(bi(t)¡ nPj=1aij (t)xj (t))dt+¾i(t)dBi(t)], where Bi(t) (i = 1; 2; ¢ ¢ ¢ ; n) are independent standard Brownian motions. Some dynamical properties are
Key Laboratory for Applied Statistics of MOE (KLAS) (Funder) +7 more
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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
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Global attractivity for scalar differential equations with Small Delay [PDF]
, 2007 For scalar functional differential equations x'(t) = f (t,x_t ), we refine the method of Yorke and 3/2-type conditions to prove the global attractivity of the trivial solution.
Faria, Teresa +3 more
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On the global attractor of delay differential equations with unimodal feedback [PDF]
, 2009 We give bounds for the global attractor of the delay differential equation x(over dot) (t) = -mu x(t) + f(x(t - tau)), where f is unimodal and has negative Schwarzian derivative.
Liz, Eduardo +3 more
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Unique Positive Almost Periodic Solution for Discrete Nonlinear Delay Survival Red Blood Cells Model
Abstract and Applied Analysis, 2009 We obtain sufficient conditions which guarantee the global attractivity of solutions for nonlinear delay survival red blood cells model. Then, some criteria are established for the existence, uniqueness and global attractivity of positive almost periodic
Xitao Yang, Siping Tang
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Almost global attraction in planar systems [PDF]
Systems & Control Letters, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Dynamics in a Nonautonomous Nicholson-Type Delay System
Journal of Mathematics, 2021 A kind of Nicholson-type delay system is considered. Several conditions on the ultimate boundedness, extinction, permanence, periodic solution, and global attractivity of the system are established by employing the inequality techniques and comparison ...
Ahmadjan Muhammadhaji, Azhar Halik
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Global attractivity of the equilibrium of for q \u3c p [PDF]
, 2006 We investigate the global attractivity of the equilibrium of second-order difference equation xn+1 = pxn + xn-1/qx n + xn-1, n = 0, 1,... where the parameters p, q, q \u3c p and initial conditions x-1, x0 are nonnegative for all n .
Merino, Orlando, Kulenović, M. R.S.
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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
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