                                                                             .txt
***    1-4  ,                    
    (n x n)-  S = {s(i,k)}
      
*****************************************************************************************

*** 1.  :

0<=t<=tMAX, i=1,2,...,n,

dx(i)/dt = ALFA/[1 + BETA*z(i)] - x(i).

 z(i) -  s(i,k)*x(k)^GAMA, k = 1,2,...,n.


*** 2.  :

0<=t<=tMAX, i=1,2,...,n,

dx(i)/dt = ALFA/Z(i) - x(i),

 Z(I) -  s(i,k)*[1 + BETA*x(k)^GAMA], k = 1,2,...,n.


*** 3.  :

0<=t<=tMAX, i=1,2,...,n,

dx(i)/dt = ALFA/[1 + BETA*z(i)] - x(i),

 z(i) -  s(i,k)*x(k)^GAMA, k = 1,2,...,n.


*** 4.  :

0<=t<=tMAX, i=1,2,...,n,

dx(i)/dt = ALFA*R(i) - x(i),

 R(i) -  s(i,k)/[1 + BETA*x(k)^GAMA], k = 1,2,...,n.


***  :  x(i) = x0(i)  t = 0 

         ALFA,
BETA, GAMA  tMAX     ,     -
   ,      .    

***   S  1(3,2)-1-1(5,2)

                    :  0 0 1  1  0 0 0 0 0 :  
                    :  1 0 0  1  0 0 0 0 0 :  
                    :  0 1 0  1  0 0 0 0 0 :  
                                            
               S =  :  1 1 1  0  1 1 1 1 1 :  
                                            
                    :  0 0 0  1  0 0 0 0 1 :  
                    :  0 0 0  1  0 1 0 0 0 :  
                    :  0 0 0  1  0 0 1 0 0 :  
                    :  0 0 0  1  0 0 0 1 0 :  

      ,    1,
 :

dx(1)/dt = ALFA/[1 + BETA*(x(3)^GAMA + x(4)^GAMA)] - x(1)
dx(2)/dt = ALFA/[1 + BETA*(x(1)^GAMA + x(4)^GAMA)] - x(2)
dx(3)/dt = ALFA/[1 + BETA*(x(2)^GAMA + x(4)^GAMA)] - x(3)
dx(4)/dt = ALFA/[1 + BETA*z(4)] - x(4),
    z(4) = x(1)^GAMA + x(2)^GAMA + x(3)^GAMA + x(5)^GAMA +
         + x(6)^GAMA + x(7)^GAMA + x(8)^GAMA + x(9)^GAMA  
dx(5)/dt = ALFA/[1 + BETA*z(5)] - x(5),
    z(5) = x(9)^GAMA + x(8)^GAMA + x(7)^GAMA + x(6)^GAMA 
dx(5)/dt = ALFA/[1 + BETA*z(5)] - x(5),
    z(5) = x(9)^GAMA + x(8)^GAMA + x(7)^GAMA + x(6)^GAMA 
dx(6)/dt = ALFA/[1 + BETA*z(6)] - x(6),
    z(6) = x(5)^GAMA + x(9)^GAMA + x(8)^GAMA + x(7)^GAMA 
dx(7)/dt = ALFA/[1 + BETA*z(7)] - x(7),
    z(7) = x(6)^GAMA + x(5)^GAMA + x(9)^GAMA + x(8)^GAMA 
dx(8)/dt = ALFA/[1 + BETA*z(8)] - x(8),
    z(8) = x(7)^GAMA + x(6)^GAMA + x(5)^GAMA + x(9)^GAMA 
dx(9)/dt = ALFA/[1 + BETA*z(9)] - x(9),
    z(9) = x(8)^GAMA + x(7)^GAMA + x(6)^GAMA + x(5)^GAMA 
******************************************************************************************    



