By Ethelbert Nwakuche Chukwu

This e-book offers an everlasting reaction to trendy monetary difficulties and the ensuing crises, facing the commercial modelling of countries and the forecasting of monetary progress. the most arguments embodied represent the construction of jobs and the recovery of financial development, utilizing the implicit recognition of study on differential versions and impartial structures for controlling the wealth of nations.

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**Extra info for Economic Dynamics of All Members of the United Nations**

**Example text**

12), i = 1, …, 191 for the GDP of the 191 member states of the United Nations can be written in the matrix form as follows: x_ ðtÞ À AÀ1 x_ ðt À hÞ ¼ A0 xðtÞ þ A1 xðt À hÞ þ A2 ðxðtÞÞxðt À hÞ þ B1 p þ B2 g; ð3:13Þ where y191 0 ; x ¼ ½ y1 y2 : : 2 Àa11 0 6 6 6 6 6 6 6 AÀ1 ¼ 6 6 6 6 6 6 6 4 0 : AÀ1 ¼ a191 Â 191 matrix, 0 ÀaÀ1190 x_ ðt À hÞ ¼ ½ y_ 1 ðt À hÞ 2 a01 : : 0 0 0 aÀ1191 7 7 7 7 7 7 7 7; 7 7 7 7 7 7 5 ð3:14Þ : : y_ 191 ðt À hÞ 0 0 0 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 6 6 6 6 6 6 6 6 6 A0 ¼ 6 6 6 6 6 6 6 6 6 4 0 0 0 A0 ¼ a191 Â 191 matrix; 3 0 a0191 ð3:15Þ 3 Full Hereditary Interacting Model of All Member States of the United Nations 2 a11 6 0 6 6 6 6 6 6 6 6 A1 ¼ 6 6 6 6 6 6 6 6 6 4 0 0 a12 0 0 0 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 A1 ¼ a191 Â 191 2 0 0 19 0 ð3:16Þ a1191 matrix; 0 6 b21 y2 ðtÞ 6 6 6 b31 y3 ðtÞ 6 6 6 6 6 A2 ðxÞ ¼ 6 6 6 6 6 6 6 6 6 4 b12 y1 ðtÞ 0 b13 y1 ðtÞ b23 y2 ðtÞ b32 y3 0 b1911 y191 b1912 y191 0 3 b1191 y1 ðtÞ b2191 y2 7 7 7 b3191 y3 7 7 7 7 7 7 7; 7 7 7 7 7 7 7 7 5 b34 y3 b191190 y191 0 ð3:17Þ A2 ðxÞ ¼ a191 Â 191 matrix function; A2 ðxÞ A2 ðy11 ; y2 ; .

146] and [3, Chukwu, Sect. 12]. Next we give details of our MATLAB programming used to identify the coefficients in Chukwu [3], A Mathematical Treatment of Economic Cooperation and Competition Among Nations: with Nigeria, USA, UK, China, and Middle East Examples, Elsevier, 2005. 1a, b) can be specialized and reduced to form the ordinary LotkaVolterra system, " # 191 X dyi ðtÞ ¼ yi ðtÞ ai0 þ bij yj ðtÞ ; dt j¼1 ai0 ; bij [ 0; 36 5 Controllability Theory of the GDP where the private and government strategies are absent.

Since yðy0 ; t; 0Þ ! yÃ as t ! 1; and y(y0, t1, 0) = y10 at some t1 and y10 is in a good neighborhood of y*; then with the control u, steer the solution y(y10, t1, u) to y(y10, t2, u) = y*. Thus, t1 + t2 = T. Such arguments have been made in other publications by Chukwu [5]. References 1. Hájek O (2008) Pursuit Games, Dover Publications, USA 2. Hale J (1977) Functional Theory of Differential Equation, Springer, Berlin, Heidelberg 3. Chukwu EN (2005) A mathematical treatment of economic cooperation and competition among nations with Nigeria, USA, UK, China, and Middle East examples.