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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 175–180
(Mi timm1011)
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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
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.
Received: 06.05.2013
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
Linking options:
https://www.mathnet.ru/eng/timm1011 https://www.mathnet.ru/eng/timm/v19/i4/p175
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Abstract page: | 242 | Full-text PDF : | 58 | References: | 31 | First page: | 2 |
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