Geodesic
Problems for McKendrick--von~Foerster's equation and their application to the population dynamics of Daphnids: research of toxicity
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 14-26

Voir la notice de l'article provenant de la source Math-Net.Ru

In the given work non-local problem with non-linear integral condition for the McKendrick–von Foerster's equation is studied. Estimation of the generalized solution is proved. Also toxicity of grape stones extraction and pomegranate stones extraction is considered by N.S. Stroganov's standart technique and the decision of the McKendrick–von Foerster's equation describing of Daphnids population is showed. The results of the experiments were used for constructing the mortality function, which specify the model for a certain population, and their software simulations were presented. Coefficients of nonlinear multiple regression is computed.
Keywords: nonlocal problem, nonlinear conditions, a priori estimate, generalised solution, grape stones extraction, pomegranate stones extraction, density of Daphnids population. 
@article{VSGU_2010_6_a2,
     author = {V. B. Dmitriev and Yu. L. Gerasimov},
     title = {Problems for {McKendrick--von~Foerster's} equation and their application to the population dynamics of {Daphnids:} research of toxicity},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {14--26},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_6_a2/}
}
TY  - JOUR
AU  - V. B. Dmitriev
AU  - Yu. L. Gerasimov
TI  - Problems for McKendrick--von~Foerster's equation and their application to the population dynamics of Daphnids: research of toxicity
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2010
SP  - 14
EP  - 26
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2010_6_a2/
LA  - ru
ID  - VSGU_2010_6_a2
ER  - 
%0 Journal Article
%A V. B. Dmitriev
%A Yu. L. Gerasimov
%T Problems for McKendrick--von~Foerster's equation and their application to the population dynamics of Daphnids: research of toxicity
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2010
%P 14-26
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2010_6_a2/
%G ru
%F VSGU_2010_6_a2
V. B. Dmitriev; Yu. L. Gerasimov. Problems for McKendrick--von~Foerster's equation and their application to the population dynamics of Daphnids: research of toxicity. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 14-26. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a2/