This article is cited in 6 papers

Sign-invariant structures of matrices, and discrete models

V. G. Il'ichev, O. A. Il'icheva


Abstract: We consider the asymptotic behaviour of linear discrete systems determined by the so called $NZ$-matrices. We describe the sign-structures of such matrices (sign-invariant and pulsar) for which a non-trivial equilibrium or a periodical behaviour, respectively, are observed. We apply the sign-invariant matrices to analysis of dynamics of non-linear non-autonomous models of competition.

UDC: 519.7

Received: 09.09.1997

DOI: 10.4213/dm397

 English version: Discrete Mathematics and Applications, 1999, 9:6, 665–677

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