On the stability of predator-victim system

A. D. Drozdov, V. B. Kolmanovskij, D. Tridzhante

Research output: Contribution to journalArticlepeer-review

Abstract

The system with interacting populations (predator-victim system) is considered. The interaction process is described by nonlinear integro-differential equations with arbitrary (distributed and discrete) delay Lotka-Volterra equations with time delay and periodic forcing term. The stability conditions for such a system are obtained. The possibility of system stabilization with the use of feedback and aftereffect is investigated. Asymptotical stability of the system is established.

Original languageEnglish
Pages (from-to)57-64
Number of pages8
JournalAvtomatika i Telemekhanika
Issue number11
StatePublished - 1 Nov 1992

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