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• W2169798424 abstract "The paper deals with the existence of positive periodic solutions to a system of degenerate parabolic equations with delayed nonlocal terms and Dirichlet boundary conditions. Taking in each equation a meaningful function as a control parameter, we show that for a suitable choice of a class of such controls we have, for each of them, a time-periodic response of the system under different assumptions on the kernels of the nonlocal terms. Finally, we consider the problem of the minimization of a cost functional on the set of pairs: control-periodic response. The considered system may be regarded as a possible model for the coexistence problem of two biological populations, which dislike crowding and live in a common territory, under different kind of intra- and inter-specific interferences." @default.
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• W2169798424 date "2011-06-01" @default.
• W2169798424 modified "2023-09-29" @default.
• W2169798424 title "Positive periodic solutions and optimal control for a distributed biological model of two interacting species" @default.
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• W2169798424 doi "https://doi.org/10.1016/j.nonrwa.2010.10.002" @default.
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