Geodesic
On some approach to solving population ecology problems
Matematičeskoe modelirovanie, Tome 15 (2003) no. 11, pp. 121-128.

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

Modeling based on properties and processes of individuals (individual-based modeling) began to use in the quantitative ecology. In this paper such a model has been proposed for study of a lemming (tundra mammal of the field-vole subfamily) population. The model was oriented to using the direct simulation Monte Carlo method that has been developed and successfully applied to solving numerous rarefied gas dynamics problems. The model takes into account the following processes: 1) displacement of person inside of natural living habitat, 2) guarding an individual region around a hole, 3) encounters with other persons, 4) pregnancy and birth of posterity, 5) nourishment and hungry during different seasons and some others. Numerous calculations confirmed a model efficiency. For example, for some set of the model parameters an average period of a population cycling was equal to 3 years. The same value was fixed in field experiments at Taimir peninsula. 
@article{MM_2003_15_11_a9,
     author = {V. D. Perminov and D. A. Sarancha},
     title = {On some approach to solving population ecology problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {121--128},
     publisher = {mathdoc},
     volume = {15},
     number = {11},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_11_a9/}
}
TY  - JOUR
AU  - V. D. Perminov
AU  - D. A. Sarancha
TI  - On some approach to solving population ecology problems
JO  - Matematičeskoe modelirovanie
PY  - 2003
SP  - 121
EP  - 128
VL  - 15
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2003_15_11_a9/
LA  - ru
ID  - MM_2003_15_11_a9
ER  - 
%0 Journal Article
%A V. D. Perminov
%A D. A. Sarancha
%T On some approach to solving population ecology problems
%J Matematičeskoe modelirovanie
%D 2003
%P 121-128
%V 15
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2003_15_11_a9/
%G ru
%F MM_2003_15_11_a9
V. D. Perminov; D. A. Sarancha. On some approach to solving population ecology problems. Matematičeskoe modelirovanie, Tome 15 (2003) no. 11, pp. 121-128. http://geodesic.mathdoc.fr/item/MM_2003_15_11_a9/

[1] Lotka A. J., Elements of Physical Biology, Williams and Wilkins, Baltimore, 1925 | Zbl

[2] Volterra V., Matematicheskaya teoriya borby za suschestvovanie, Nauka, M., 1976 | MR

[3] Orlov V. A., Sarancha D. A,, Shelepova O. A., Matematicheskaya model dinamiki chislennosti populyatsii lemmingov (Lemmus, Dicrostonyx) i ee ispolzovanie dlya opisaniya populyatsii Vostochnogo Taimyra, Ekologiya, no. 2, 1986

[4] Bird G. A., Molecular gas dynamics, Clarendon Press, Oxford, 1976

[5] Chernyavskii F. B., Tkachev A. V., Populyatsionnye tsikly lemmingov v Arktike (ekologicheskie i endokrinnye aspekty), Nauka, M., 1982