Publication de 12 numéros par an
ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337
Indexed in
The Optimal Control Problem of Monocycle Biological Cells Aggregation
RÉSUMÉ
The model of optimum control of monocycle cells aggregation in the set of piece-wise constant control functions is considered. The explicit analytic form of solution of the optimum control problem for criteria when cells density attains the required level is found. The numerical computation of dynamics of monocycle cells aggregation for control functions optimal values for three different kinds of objective function of biological cells distribution is performed.
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Akimenko V.V., Zahorodnii Yu.V., Boyko A.L., Identification of parameters of evolutionary model of monocyclic cells aggregation with the hop plants example, Computers & Mathematics with Applications, 66, 9, 2013. Crossref
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Akimenko V. V., Zahorodnii Yu. V., Modeling the Dynamics of Age-Structured Polycyclic Population of Biological Cells on the Parameterized Set of Algebraic Functions, Cybernetics and Systems Analysis, 50, 4, 2014. Crossref
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Akimenko Vitalii V., Asymptotically stable states of non-linear age-structured monocyclic population model II. Numerical simulation, Mathematics and Computers in Simulation, 133, 2017. Crossref
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Akimenko Vitalii V., Asymptotically stable states of nonlinear age-structured monocyclic population model I. Travelling wave solution, Mathematics and Computers in Simulation, 133, 2017. Crossref
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Akimenko Vitalii, Anguelov Roumen, Steady states and outbreaks of two-phase nonlinear age-structured model of population dynamics with discrete time delay, Journal of Biological Dynamics, 11, 1, 2017. Crossref