Stability of some nonlinear systems with delay including populations systems (Q1288400)
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scientific article; zbMATH DE number 1286612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of some nonlinear systems with delay including populations systems |
scientific article; zbMATH DE number 1286612 |
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Stability of some nonlinear systems with delay including populations systems (English)
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2 November 1999
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Constructing a Lyapunov function, the stability of the equilibrium of a delayed model describing the competition of two species in the form \[ x_i'(t)= x_i(t) f_i(x_1(t- \tau_{i1}), x_2(t- \tau_{i2})) \] is studied. Conditions for the asymptotic stability of the equilibrium are derived and applied to the Lotka-Volterra competition model.
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population systems
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delay equation
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Lyapunov function
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competition
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Lotka-Volterra equation
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asymptotic stability
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