Geodesic
Stability of~linear delay differential equations arising in~models of~living systems
Matematičeskie trudy, Tome 22 (2019) no. 2, pp. 157-174.

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We present the results of our study of the stability of the trivial solution to a system of linear delay differential equations decomposable into two subsystems. Each of the subsystems contains matrices of a special form. We establish conditions for the asymptotic stability and nonstability of the trivial solution on the basis of the properties of stable matrices and nondegenerate $M$-matrices. The stability of equilibria for mathematical models in immunology and epidemiology is investigated. 
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     author = {N. V. Pertsev},
     title = {Stability of~linear delay differential equations arising in~models of~living systems},
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}
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N. V. Pertsev. Stability of~linear delay differential equations arising in~models of~living systems. Matematičeskie trudy, Tome 22 (2019) no. 2, pp. 157-174. http://geodesic.mathdoc.fr/item/MT_2019_22_2_a8/

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