Question: need to solve and plot spatial tumor PDE model and variation of parameters


 

restart

sigma[1] := 0.1e-5;

0.1e-5

 

3.0

 

1.1

 

0.1e-1

 

0.1e-5

 

4.0

 

0.1e-1

 

.12

 

.2

 

0.2e-1

(1)

"(∂)/(∂ t) C(t, x)=`sigma__1`*((ⅆ)^2)/((ⅆ)^( )x^2) C(t, x)+alpha[1]*C(t, x)^(`k__1`)+alpha[1]*C(t, x)^(`k__2`)*B(t, x)^(`k__3`)-`beta__1`*C(t, x),  (∂)/(∂ t) B(t, x)=`sigma__2`*((ⅆ)^2)/((ⅆ)^( )x^2) B(t, x)+alpha[2]*B(t, x)^(`k__3`)+alpha[2]*C(t, x)^(`k__2`)*B(t, x)^(`k__4`)-`beta__2`*B(t, x),    #`with boundary conditions`  (∂)/(∂ x) C(t, 0)=0,(∂)/(∂ x) C(t, 1)=0,  (∂)/(∂ x) B(t, 0)=0,(∂)/(∂ x) B(t, 1)=0,    #`and initial conditions`   C(0, x) = `C__o`(x) ,  B(0, x)=B[o](x), #`In this model C(0) = 13.0 and B(0) = 300 `    #`I need the numerical solutions of C and B`  #`variations of parameters like sigma`[1], sigma[2, ]beta[1], beta[2]  #thanks    "


 

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