ON LOCAL ASYMPTOTIC STABILITY OF A MODEL OF EPIDEMIC PROCESS

被引：0

作者：

Malygina, Vera Vladimirovna ^{[1
]}

Mulyukov, Mikhail Vadimovich ^{[1
]}

Pertsev, Nikolai Victorovich ^{[2
]}

机构：

[1] Perm Natl Res Polytech Univ, Komsomolskiy Pr 29, Perm 614990, Russia

[2] RAS, Sobolev Inst Math, SB, Omsk Div, Pevtsova St 13, Omsk 644033, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2018年 / 15卷

关键词：

epidemic process; mathematical model; delay differential equation; stability; stability region;

D O I：

10.17377/semi.2018.15.106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a model of the epidemic process, and use a system of differential equations with retarded argument for the description of the model. We obtain a number of stability tests for the nontrivial equilibrium point and construct stability regions in the parameter space of the original problem.

引用

页码：1301 / 1310

页数：10

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