A note on global attractivity in models of hematopoiesis

Ukrainian Mathematical Journal

Volumn 50, Issue 1, 1998, Pages 3-12

  Gopalsamy, K ^a   Trofimchuk, S I ^b   Bantsur, N R ^b  

^a FLINDERS UNIVERSITY   (Australia)

^b INSTITUTE OF HYDROBIOLOGY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84879144864     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1007/BF02514684     Document Type: Article

References (15)

1. M. C. Mackey and L. Glass, "Oscillation and chaos in physiological control systems, " Science, 197, 287-289 (1977). CrossRef
2. K. Gopalsamy, M. R. S. Kulenovich, and G. Ladas, "Oscillations and global attractivity in models of hematopoiesis, " J. Dynam. Different. Equat.,2, No. 2, 117-132 (1990). CrossRef
3. A. F. Ivanov and A. N. Sharkovsky, "Oscillations in singularly perturbed delay equations, " Dvnam. Rep., 1, 164-224 (1991).
4. G. Karakostas, Ch. G. Philos, and Y. G. Sficas, "Stable steady state of some population models, " J Dynam. Different. Equat., 4, No. 1. 161-190 (1989). CrossRef
5. J. Mallet-Paret and R. D. Nussbaum, "Global continuation and asymptotic behaviour for periodic solutions of differential delay equations, " Ann. Mat. Pura Appl, 145, 33-128 (1986). CrossRef
6. I. Györi and G. Ladas, Oscillations Theory of Delay Differential Equations with Applications, Oxford University Press, London (1991).
7. K. Gopalsamy, "Stability and oscillations in delay differential equations of population dynamics, " Math. Appl., 74, 501 (1992).
8. A. F. Ivanov, "On global stability in nonlinear discrete models, " Nonlinear Anal., 23, No 11, 1383-1389 (1994). CrossRef
9. G. Karakostas, Ch. G. Philos, and Y. G. Sficas, "Stable steady state of some population models, " J Dynam. Different. Equat., 17, No. 11. 161-190 (1992). CrossRef
10. M. Wazewska-Czyzewska and A. Lasota, "Mathematical problems of the red-blood cell system. " Ann. Pol. Math. Soc., Ser. III. Appl. Math., 6, 23-40 (1976).
11. I. Györi and S. Trofimchuk, Global Attractivity in x' (t) =-δx(t) + pf(x(t-τ), Preprint No. 057, University of Veszprem, Veszprem (1996).
12. J. K. Hale, Theory of Functional-Differential Equations. Springer, Berlin (1977).
13. D. Singer, "Stable orbits and bifurcation of maps of the interval, " SIAM J. Appl. Math., 35, No. 2, 260-267 (1978). CrossRef
14. A. N. Sharkovskii, S. F. Kolyada, A. G. Sivak, and V. V. Fedorenko, Dynamics of One-Dimensional Dynamical Systems [in Russian], Naukova Dumka, Kiev (1989).
15. J. K. Hale, "Asymptotic behavior of dissipative systems, " in: Mathematical Surveys and Monographs, No. 25, Am. Math. Soc., Providence (1988).