Global attractivity in an RBC survival model of Wazewska and Lasota
Authors:
Jing-Wen Li and Sui Sun Cheng
Journal:
Quart. Appl. Math. 60 (2002), 477-483
MSC:
Primary 92D25; Secondary 34K60, 92C30
DOI:
https://doi.org/10.1090/qam/1914437
MathSciNet review:
MR1914437
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: We obtain a condition for the positive equilibrium to be a global attractor of the survival model of red blood cells proposed by Wazewska and Lasota. Our technique is novel in the sense that a pair of nonlinear equations is utilized, and our result improves earlier results in [3] and [4].
- Maria Ważewska-Czyżewska and Andrzej Lasota, Mathematical problems of the dynamics of a system of red blood cells, Mat. Stos. (3) 6 (1976), 23–40 (Polish). MR 682081
- I. Győri and G. Ladas, Oscillation theory of delay differential equations, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1991. With applications; Oxford Science Publications. MR 1168471
- M. R. S. Kulenović, G. Ladas, and Y. G. Sficas, Global attractivity in population dynamics, Comput. Math. Appl. 18 (1989), no. 10-11, 925–928. MR 1021318, DOI https://doi.org/10.1016/0898-1221%2889%2990010-2
- Jing Wen Li, Asymptotic behavior of a delay differential model, J. Biomath. 9 (1994), no. 1, 91–95. MR 1300982
M. Wazewska-Czyzewska and A. Lasota, Mathematical problems of the dynamics of a system of red blood cells, Mat. Stos. (3) 6, 23–40 (1976) (Polish)
I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991
M. R. Kulenovic, G. Ladas, and Y. G. Sficas, Global attractivity in population dynamics, Computers and Math. Applic. 18, 925–928 (1989)
J. W. Li, Asymptotic behavior of delay differential model, J. Biomath. 9, 91–95 (1994)
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
92D25,
34K60,
92C30
Retrieve articles in all journals
with MSC:
92D25,
34K60,
92C30
Additional Information
Article copyright:
© Copyright 2002
American Mathematical Society
