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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/70891 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/70891 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/70891 archive 351 disk0/00/00/95/72 2016-01-15 08:45:20 2021-08-27 17:39:04 2016-01-15 08:45:20 article show Davydov A.A. 1803 Platov A.S. 8701 pub iis_met prog_asa We establish the global stability of a nontrivial stationary state of the size-structured population dynamics in the case where the growth rate, mortality, and exploitation intensity depend only on the size and certain conditions on the model parameters are imposed. We show that a stationary state maximizing the profit functional of population exploitation, exists and is unique. We also obtain a necessary optimality condition, owing to which this state can be found numerically. 2011-08 published Springer 10.1007/s10958-011-0441-4 XJ-11-088 Mathematical Sciences; 176(6):860-869 (August 2011) [doi:10.1007/s10958-011-0441-4] 60 1510 public Mathematical Sciences 176 6 860-869 TRUE 2008-1359 FALSE info:eu-repo/semantics/article