Abstract:
The problem of stability of some systems of linear delay differential equations is considered. Sufficient conditions of asymptotic stability and instability of the trivial solution expressed in terms of matrices of a special kind are given. The results of the analysis of stability of equilibriums of nonlinear model of epidemic process are presented.
Keywords:delay differential equations, asymptotic stability, instability, matrices of a special kind, nonsingular M-matrix, mathematical models of living systems, epidemic process spread.
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