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By Vladimir Mazalov, Dmitry Novikov, Guennady Ougolnitsky, Leon Petrosjan

ISBN-10: 1634834895

ISBN-13: 9781634834896

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Additional info for Game Theory and Applications: Game-theoretic Models in Mathematical Ecology

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Izvestiya SFedU. Engineering Sciences, 121(8), 62–73. E. (2012). High-Modeling of a Biological Rehabilitation Scenario for the Sea of Azov. Matematicheskoe Modelirovanie, 24(9), 3-21. I. S. (2003). High-Precision Two-Dimensional Models of Shallow Waterbodies. Matematicheskoe Modelirovanie, 15(10), 17. In: Game Theory and Applications. Volume 17 ISBN: 978-1-63483-489-6 Editor: V. Mazalov, D. Novikov, G. Ougolnitsky et al. © 2015 Nova Science Publishers, Inc. Chapter 4 CORRECTION OF COOPERATIVE GAMES AS A STABILIZATION MECHANISM OF ECOLOGICAL-ECONOMIC SYSTEMS Victor A.

Table 15. variant 0 1 2 3 4 5 6 R2 0 4 7 11 16 19 23 Y2 0 16 21 37 40 45 61 Table 16. 4 3 2 1 0 1 16;45 12;33 7;27 3;15 0;0 0 20;61 16;49 11;43 7;31 4;16 1 23;66 19;54 14;48 10;36 7;21 2 27;82 23;70 18;64 14;52 11;37 3 28;73 23;67 19;55 16;40 4 26;72 22;60 19;45 5 30;88 26;76 23;61 6 2 As far as b1 = 20, eliminate rows 0 and 1 from Table 16. Similarly, eliminate columns 0, 1 and 2 due to b2 = 25. In the resulting table, identify a cell with the maximum second value. Actually, this is cell (30; 88) associated with effect 88.

The biological kinetics equations are defined by 40 Alexander E. Chistyakov, Alla V. Nikitina, Guennady A. Ougolnitsky et al. X  X  div(UX )   X X  (v X )   X  S XS t z z   X XZ   X X   X XP; Z  Z  div( UZ )   Z Z  (vZ )   Z  X XZ   Z Z   Z Z ; t z z S  S  div( US )  S S  (vS )   S  D D   S X  B( S p  S )  f ; t z z (5) D  D  div( UD)   D D  (vD )   X X   Z   D D   D DP; t z z P  P  div(U P P)   p P  (vP )   P  D DP   P P t z z   P X XP   P P  uP; u P  u  div(U Pu P )  u u P  (vu P )   u u P t z z  k D gradD  k X gradX.

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Game Theory and Applications: Game-theoretic Models in Mathematical Ecology by Vladimir Mazalov, Dmitry Novikov, Guennady Ougolnitsky, Leon Petrosjan


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