Geodesic
One model of size-structured population dynamics
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 175-180

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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.
Mots-clés : transport equation
Keywords: integral equation of Volterra type, method of successive approximations. 
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     author = {M. S. Nikol'skii},
     title = {One model of size-structured population dynamics},
     journal = {Trudy Instituta matematiki i mehaniki},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a17/}
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M. S. Nikol'skii. One model of size-structured population dynamics. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 175-180. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a17/