Geodesic
Matrix stability and instability criteria for some systems of linear delay differential equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 876-885

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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. 
@article{SEMR_2019_16_a89,
     author = {N. V. Pertsev},
     title = {Matrix stability and instability criteria for some systems of linear delay differential equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {876--885},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a89/}
}
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N. V. Pertsev. Matrix stability and instability criteria for some systems of linear delay differential equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 876-885. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a89/