1. Mackey-glass equation with variable coefficients
- Author
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Berezansky, L. and Braverman, E.
- Subjects
- *
DELAY differential equations , *FUNCTIONAL differential equations , *DIFFERENTIAL equations , *NUMERICAL solutions to delay differential equations , *NUMERICAL analysis - Abstract
Abstract: The Mackey-Glass equation, , is considered, with variable coefficients and a nonconstant delay. Under rather natural assumptions all solutions are positive and bounded. Persistence and extinction conditions are presented for this equation. In the case when there exists a constant positive equilibrium, local asymptotic stability of the constant solution and oscillation about this equilibrium are analyzed. The results are illustrated by numerical examples. In particular, it is demonstrated that with delay in both terms, a solution with positive initial conditions may become negative. [Copyright &y& Elsevier]
- Published
- 2006
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