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 Tr. Mat. Inst. Steklova, 2015, Volume 291, Pages 86–94 (Mi tm3660)

On the uniqueness of a positive stationary state in the dynamics of a population with asymmetric competition

A. A. Davydova, A. F. Nassarb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: For a nonlinear model of the dynamics of a size-structured (exploited) population with asymmetric form of competition, we prove a uniqueness theorem for a positive stationary solution under sufficiently general assumptions on the parameters of the model.

 Funding Agency Grant Number Russian Science Foundation 14-50-00005 The work of A.A. Davydov (Sections 1 and 4) is supported by the Russian Science Foundation under grant 14-50-00005 and performed in Steklov Mathematical Institute of Russian Academy of Sciences.

DOI: https://doi.org/10.1134/S0371968515040081

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English version:
Proceedings of the Steklov Institute of Mathematics, 2015, 291, 78–86

Bibliographic databases:

Document Type: Article
UDC: 517.958
Received: August 15, 2015

Citation: A. A. Davydov, A. F. Nassar, “On the uniqueness of a positive stationary state in the dynamics of a population with asymmetric competition”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 86–94; Proc. Steklov Inst. Math., 291 (2015), 78–86

Citation in format AMSBIB
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