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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MT_2019_22_2_a8,
     author = {N. V. Pertsev},
     title = {Stability of~linear delay differential equations arising in~models of~living systems},
     journal = {Matemati\v{c}eskie trudy},
     pages = {157--174},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2019_22_2_a8/}
}
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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/