The nonnegativity of solutions of delay differential equations

Applied Mathematics Letters

Volumn 13, Issue 6, 2000, Pages 91-95

  Bodnar, M ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

Delay differential equations; Logistic equation; Nonnegativity

Indexed keywords

EID: 0007894647     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00061-6     Document Type: Article

References (9)

1. Y. Kuang, Delay Differential Equations with Application to Population Dynamics, Academic Press, Boston, (1993).
2. M. Rospert and U. an der Heiden, A mathematical model for the regulation of protein hormone concentration, In Mathematical Population Dynamics: Analysis of Heterogeneity, (Edited by O. Arino et al.), pp. 23-34, Wuerz, London, (1995).
3. J. Nauroschat and U. an der Heiden, Nonlinear mathematical models of hormonal systems, J. Math. Biol. 3 (3), 719-730, (1995).
4. O. Arino and E. Sanchez, An integral equation of cell population formulated as an abstract delay equation -Some consequences, Math. Models Math. Appl. Sci. 8 (4), 713-735, (1998).
5. O. Arino and W. Smith, Migration in age structured population dynamics, Math. Models Math. Appl. Sci. 8 (5), 905-925, (1998).
6. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic Press, Dordrecht, (1992).
7. B. Zhang and K. Gopalsamy, Oscillation and nonoscillation in a nonautonomous delay-logistic equation, Quart. Appl. Math. 46 (2), 267-273, (1988).
8. I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford, (1991).
9. R. Schuster and H. Schuster, Reconstruction models for the Ehrlich ascites tumor of the mouse, In Mathematical Population Dynamics: Analysis of Heterogeneity, (Edited by O. Arino et al.), pp. 335-348, Wuerz, London, (1995).