The Multicomponent Gause Principle in Models of Biological Communities
- Авторы: Razzhevaikin V.1
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Учреждения:
- Dorodnitsyn Computing Center, Russian Academy of Sciences
- Выпуск: Том 8, № 5 (2018)
- Страницы: 421-430
- Раздел: Article
- URL: https://journals.rcsi.science/2079-0864/article/view/206641
- DOI: https://doi.org/10.1134/S2079086418050067
- ID: 206641
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Аннотация
A refinement is proposed for Gause’s principle of competitive exclusion, which guarantees the disappearance of at least one species in a community with a species number that exceeds the number of resources. Theorems revealing the disappearance of at least n – m components have been developed for a general finite-dimensional system of differential equations that simulates the dynamics of a community with n species in a rough case, i.e., in the absence of a finite number of coincidences defined by relations of the equality type, provided that the Malthusian vector-valued function only assumes values on the hyperplane of the dimension m, which does not contain the origin. It is proposed that the constructed theory can be used for a Lotka–Volterra type system with a Malthusian vector-function, which is a linear combination of the quantities of the available resources.
Об авторах
V. Razzhevaikin
Dorodnitsyn Computing Center, Russian Academy of Sciences
Автор, ответственный за переписку.
Email: razzh@mail.ru
Россия, Moscow, 119333