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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 175–180 (Mi timm1011)  
One model of size-structured population dynamics

M. S. Nikol'skii

Steklov Mathematical Institute of the Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
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Abstract: A linear model of size-structured population dynamics is considered. It is described by a linear partial differential equation, namely, by the transport equation. A solution in a constructive form is built for this model under a nonlinear global boundary condition, which has a biological meaning. The model is of interest for biological applications, in particular, in forestry. The results make it possible, for example, to study the qualitative behavior of solutions of the formulated nonstandard boundary value problem with a global boundary condition.
Keywords: transport equation, integral equation of Volterra type, method of successive approximations.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-12112-офи-м
12-01-00175-а
12-01-00506-а
13-01-00685-а
Received: 06.05.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 128–133
DOI: https://doi.org/10.1134/S0081543814090120
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: M. S. Nikol'skii, “One model of size-structured population dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 175–180; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 128–133
Citation in format AMSBIB
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