We study the dynamics of a size-structured population with interacting species. For given exploitation intensities we establish the existence and uniqueness of a nontrivial stationary state. We also prove that there exists a family of exploitation intensities maximizing the profit functional of exploitation. Bibliography: 4 titles.
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Translated from Problemy Matematicheskogo Analiza 67, November 2012, pp. 107–112.
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Panesh, A.A., Platov, A.S. Optimization of size-structured population with interacting species. J Math Sci 188, 293–298 (2013). https://doi.org/10.1007/s10958-012-1128-1
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DOI: https://doi.org/10.1007/s10958-012-1128-1