## Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments.(English)Zbl 1121.34080

The author studies a model of $$n$$ prey species and $$m$$ predators, described by a system of non-autonomous functional diferential equations of Lotka-Volterra type. By using comparison techniques, sufficient conditions are obtained in order to assure the permanence and the global stability of the system.

### MSC:

 34K25 Asymptotic theory of functional-differential equations 34K20 Stability theory of functional-differential equations 92D25 Population dynamics (general) 34K60 Qualitative investigation and simulation of models involving functional-differential equations
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### References:

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