Global attractivity in a non-autonomous logistic type model with unbounded delay

• Autorzy: Liu Y.
• Języki publikacji: EN

Abstrakty

EN

Consider the non-autonomous logistic model where {pn} is a sequence of positive real numbers, {kn} a sequence of nonnegative integers satisfying lim n (n - kn) = &isin, Lamda &isin [0, 1). We obtain new sufficient conditions for the attractivity of equilibrium x=1 of the model, which improve and generalize some recent results established by Chen and Yu [4], Zhou and Zhaug [6].

Słowa kluczowe

EN

global attractivity; difference equation; oscillation

PL

równanie różnicowe

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 35
• Strony: 61--75
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Liu Y.

• Department of Mathematics, Hunan Institute of Technology Yueyang, Hunan 414000, P. R. China,

Bibliografia

• [1] B.G. Zhang, C.J. Tian, Nonexistence and existence of positive solutions for difference equations with unbounded delay, Compiders Math.Applic., 1998, 86(1)(1998), 1-8.
• [2] Y.J Liu, Global attractivity for population model, J. of Biomath., 15(1)(2000), 65-69.
• [3] B.G. Zhang, K. Gopalsamy, Global attractivity in a delay logistic equation with variable parameters, Math.Proc.Camb.Phil.Soc., 107(1990), 579-590.
• [4] M.P. Chen, J.S. Yu, Oscillation and global attractivity in a delay logistic difference equation, Difference Equations And Its Applications, 1(1)(1995), 227-287.
• [5] Ch.G. Philos, Oscillations in a non-autonomous delay logistic difference equation. Proc. of the Edinburgh Math.Soc., 35(1992), 121-131.
• [6] Zh. Zhou, Q.Q. Zhang, Global attractivity of a non-autonomous logistic equation with delays. Computers and Mathematics with Applications, 38(1999), 57-64.
• [7] L.H. Erbe, H. Xia, J.S. Yu, Global attractivity in nonlinear delay difference equations, J. Diff. Eq. Appli., 1(1995), 151-161.
• [8] V.L.J. Kocic, G. Ladas, Global behavior of nonlinear difference equations of higher order with applications, Kluwer Academic, Boston, 1993, 75-80.
• [9] Y. Liu, W. Ge, Existence and asymptotic behavior of positive solutions of non-autonomous Food-Limitedmodel with unbounded delay, Zeitschrift fur Analysis and Ihre Anwendungen, 21 (4)(2002), 1015-1025.
• [10] Y. Liu, W. Ge, Positive solutions of non-autonomous delay model of single population. Fields Institute Commanications, 42(2004), 253-271.
• [11] Y Liu, W. Ge, On the positive solutions of non-autonomous Hyper-Logistic delay difference equations, Computers and Mathematics with Applications, 47(2004), 1211-1224.