Canard curves in the dynamic model of forest insect pests
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 215-220
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The paper is concerned with the investigation of the model of dynamics of population of caterpillar budworm (Choristoneura fumiferana). The system solutions behavior depending on the parameters values has been investigated, conditions of origination of canard curves have been found.
Keywords:
population model, slow-fast system, canard curves.
@article{VSGU_2013_9_a24,
author = {E. V. Troshkina},
title = {Canard curves in the dynamic model of forest insect pests},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {215--220},
year = {2013},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2013_9_a24/}
}
E. V. Troshkina. Canard curves in the dynamic model of forest insect pests. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 215-220. http://geodesic.mathdoc.fr/item/VSGU_2013_9_a24/
[1] Ludwig D., Jones D. D., Holling C. S., “Qualitative analysis of insect outbreak systems: the spruce budworm and forest”, Journal of Animal Ecology, 47 (1978), 315–332 | DOI
[2] May R. M., “Thresholds and breakpoints in ecosystems with a multiplicity of stable states”, Nature, 269 (1977), 471–477 | DOI
[3] Sobolev V. A., Schepakina E. A., Reduktsiya modelei i kriticheskie yavleniya v makrokinetike, Fizmatlit, M., 2010, 319 pp. | Zbl
[4] M. Kholodniok i dr., Metody analiza nelineinykh dinamicheskikh modelei, Mir, M., 1991, 363 pp.