Analysis of an epidemic mathematical model based on delay differential equations

Pertsev, N. V.; Loginov, K. K.; Topchii, V. A.

doi:10.33048/sibjim.2020.23.209

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2021

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“…The case R 0 < 1 provides exponential decreasing of a part of components of solution of the models and allows to evaluate the time interval until the decreasing of these components from the initial level to some favorable or unfavorable one. The ways to study the considered systems of dierential equations are transferred to equations that are close in structure to the former ones, that emerge in models of epidemiology and immunology, see, for example, [11], [12].…”

Section: Based On Workmentioning

confidence: 99%

Construction of exponentially decreasing estimates of solutions to a Cauchy problem for some nonlinear systems of delay differential equations

Pertsev¹

2021

Sib. Elektron. Mat. Izv.

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The behavior of solutions for several models of living systems, presented as the Cauchy problem for nonlinear systems of delay dierential equations, is investigated. A set of conditions providing exponentially decreasing estimates of the components of the solutions of the studied Cauchy problem is established. The parameters of exponential estimates are found as a solution of a nonlinear system of inequalities, based on the right part of the system of dierential equations. Results of the studies on mathematical models arising in epidemiology, immunology, and physiology are presented.

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Section: Based On Workmentioning

confidence: 99%