Investigation of solutions to one family of mathematical models of living systems

DOI10.3103/S1066369X17090067zbMath1384.45007OpenAlexW2750939929MaRDI QIDQ1695296

Boris Yurievich Pichugin, Anna Nikolayevna Pichugina, Nikolay Viktorovitch Pertsev

Publication date: 7 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17090067

zbMATH Keywords

delay differential equationsurvival functiondifferential equation with distributed delayHill functionunimodal functionasymptotic stability of solutions of nonlinear integral equationslimit of solutions of nonlinear integral equationsmathematical model of living systemnonlinear integral equation of convolution type

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Asymptotic theory of functional-differential equations (34K25) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (3)

Stochastic modelling of age-structured population with time and size dependence of immigration rate ⋮ Analysis of an epidemic mathematical model based on delay differential equations ⋮ Study of solutions of a continuous-discrete model of HIV infection spread

Cites Work

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• Two-sided estimates on solutions to an integro-differential equation which describes the process of hematogenic process
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• Global stability of an SIRS epidemic model with delays
• Some equations modelling growth processes and gonorrhea epidemics
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• A Nonlinear Age-Dependent Model of Single Species Population Dynamics
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