Positive periodic solutions to predator-prey systems with infinite delay (Q1976594)
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scientific article; zbMATH DE number 1445761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive periodic solutions to predator-prey systems with infinite delay |
scientific article; zbMATH DE number 1445761 |
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Positive periodic solutions to predator-prey systems with infinite delay (English)
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13 February 2001
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Conditions for the existence of positive periodic solutions to a nonautonomous non-convolution predator-prey system with infinite delay \[ \begin{aligned} x'(t) &= x(t)[a(t)-b(t)x(t)-c(t)y(t)],\\ y'(t) &= y(t)[-d(t)+\int_{-\infty}^{t} K(s,t,x(s),x(t)) ds], \end{aligned} \] under certain assumptions on the functions \(K,a,b,c,d\) are given.
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predator-prey system
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infinite delay
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positive periodic solutions
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0.9694889
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0.9682668
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0.9622863
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