Permanence for Nicholson-type delay systems with nonlinear density-dependent mortality terms (Q546140)
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scientific article; zbMATH DE number 5912738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Permanence for Nicholson-type delay systems with nonlinear density-dependent mortality terms |
scientific article; zbMATH DE number 5912738 |
Statements
Permanence for Nicholson-type delay systems with nonlinear density-dependent mortality terms (English)
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24 June 2011
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Sufficient conditions are obtained for permanence of the following system \[ x^{'}_1(t)=-D_{11}(t,x_1(t))+D_{12}(t,x_2(t)) +c_1(t)x_1(t-\tau_1(t))e^{-\gamma_1(t)x_1(t-\tau_1(t))}, \] \[ x^{'}_2(t)=-D_{22}(t,x_2(t))+D_{21}(t,x_1(t)) +c_2(t)x_2(t-\tau_2(t))e^{-\gamma_2(t)x_2(t-\tau_2(t))}. \]
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Nicholson-type delay system
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permanence
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