Global stability for a class of functional differential equations (application to Nicholson's blowflies and Mackey-Glass models) (Q1661176)
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scientific article; zbMATH DE number 6919423
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability for a class of functional differential equations (application to Nicholson's blowflies and Mackey-Glass models) |
scientific article; zbMATH DE number 6919423 |
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Global stability for a class of functional differential equations (application to Nicholson's blowflies and Mackey-Glass models) (English)
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16 August 2018
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The paper provides a new approach to study the asymptotic behavior of solutions of the problem \[ x'(t)=-f(x(t))+\int_0^{\tau}h(a)g(x(t-a))da. \] To this end, fluctuation and monotone semi-flow methods combined with a Lyapunov functional are used.
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monotone semi-flow
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global stability
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fluctuation method
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application to Nicholson's blowflies and Mackey-Glass models
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