Global dynamics of one class of nonlinear nonautonomous systems with time-varying delays. (English) Zbl 1236.34102
This paper deals with a class of nonlinear nonautonomous differential systems including time-varying delays. Sufficient conditions for global attractiveness of the zero vector function are established, via construction of matrix inequalities and comparison technique. These results are applied to a class of Nicholson-type nonautonomous systems, to which existence, permanence and boundedness of positive global solutions are studied. The paper ends with some applications to particular asymptotically autonomous systems.
Reviewer: Eva Sánchez (Madrid)
MSC:
| 34K25 | Asymptotic theory of functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
| 92D25 | Population dynamics (general) |
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