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mathematica一直运行没错误,大家帮忙看一下

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发表于 2020-3-24 15:32 |只看该作者 |倒序浏览
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Clear[Am, As, Aa, \[Alpha], \[Rho], \[Theta]m, \[Theta]s, \
9 u5 T* d, O7 O# x! C( U: X\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]
1 v- i! B" o" ], D+ P* z! v\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s = 4 U, {+ G' x- ]1 G
1 - \[Gamma]a - \[Gamma]m;. ?" Z% x( b7 Y2 p9 P8 D3 B  W
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;1 \# Z1 \; V' x+ }* y
\[Theta]m = 0.75; \[Theta]s = 0.9;
4 d7 L5 y3 R  {& ?: YgRate = 0.02;7 N- ~, w5 C1 o0 z$ R7 W0 s& E6 Z3 k
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;# e$ }4 a0 p& f. u8 b' c- w4 A6 ~7 r
ps = Bm/Bs; pa = Bm/Ba;
" p! G8 w4 p- \# J\[Delta] = 0.03;
( Q- E! `7 Z: b+ s6 {! j) tB = \!\(TraditionalForm\`\*  j: a) U7 \, }. E  D
FractionBox[
  n$ t( Q( d, t& b4 @% URowBox[{- Z3 Y0 R0 v: C& a- p8 t# s
RowBox[{
& h+ S  s7 [& m/ F% P* Y; Z/ V5 TRowBox[{
9 l4 F$ r% y% K$ o3 ~+ o( eStyleBox["(",4 h6 s( k( }0 s0 B: G$ a5 F
SpanMinSize->1.,1 @3 P  m' ]+ i
SpanMaxSize->1.],
- \. e$ h. v" ?; o/ ~4 vRowBox[{"1", "\[Minus]", "\[Alpha]"}],
' r7 D, b" J5 J# X& g& @& U' H/ fStyleBox[")",
9 p% j5 N* K- O! I* j$ W% C, oSpanMinSize->1.,
2 H0 O% b- L# N) N, A/ ZSpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
9 {% l8 ?5 Q) E1 V      "\[Alpha]"] \[Minus] \[Delta]\);! v& x/ y  O. r# c
cap = 10;  h5 ?' K4 c0 s
csp = (pa*cap)/ps;
4 s* [4 u. Z+ A& H  i( m3 WD = ((1 \[Minus] \[Alpha])*
* r) k% J$ K! n# _# h    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
* {- {- J& `; O# k\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
" j+ A. T  W# T) u7 I! \Print["*** Initial Values ***"]
0 j, u' g" O& F6 w0 I# tE0 = 1.5;% \# d* w/ d& U/ `, N6 l( H. z( m7 O
K0 = E0/B;
$ q' z/ x# A( b, Ahm0 = 0.25; hs0 = 0.25;(* initial values *)
% m" }. w/ i1 J' C! X3 s( i7 I\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
/ k) D  c3 ]# b5 mxm0 = (B*\[Gamma]m^\[Epsilon]*
5 P! s( b2 J  {3 Q/ H& `7 s. W   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(, H9 Y; A, X4 y) m& `3 y
    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
4 a& e6 U+ Z4 A/ P! o) R    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*9 B' `1 c  z4 h; O! Q/ G
      hs0^\[Theta]s)^(1 - \[Epsilon]));
* R: Z7 C( N: C! M" axs0 = (B*\[Gamma]s^\[Epsilon]*(ps*
3 B% I6 B! s+ z! a* v% _     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
1 }) H. `  A$ H    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*/ u" \$ Y/ o* Z0 X$ k
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
5 t- P& V( l- `+ J6 A      hs0^\[Theta]s)^(1 - \[Epsilon]));7 {# a  J( H+ }& k0 {
Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0],
2 ]8 k. O, F9 o% J ", \[Eta]_{s,0}=" <> ToString[\[Eta]s0], . H) ^& V5 ~; F, w
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]: F3 E4 j1 Q6 G7 h$ e3 Y
TT = 100;(* end time *)3 W' R. y1 u9 `" x8 ^
(* Solve differential equations *)# J, U# r' E6 E& ^$ B
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
5 f  t! h6 V( ]     xs[t]*(   (1 - xs[t]/7 E5 \4 J1 S) b7 u
         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) - 1 Q1 k; @* r1 Q
         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))), ; o; X1 {' m/ d0 I& Z" e0 J
   xm'[t] == (1 - \[Epsilon])*
4 a- E8 Q2 y5 x' b" M/ g; k% z     xm[t]*(   (1 - xm[t]/8 W; g5 y7 t  P- |2 k3 j
          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - 6 _: d4 H. s! E4 L* k6 z0 [$ s+ Y
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - $ p6 [1 G  [) Y; f8 L) n
          1) ), \[Eta]m'[
1 S- |' s) E# |     t] == \[CurlyPhi]m*9 f: `; D- Y8 k" f. u
      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[
# T4 l4 u( @( ~4 Y     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t],
# n+ m  b/ F/ Z( b( c  |   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t], 6 a6 v& s4 _/ M
   hs[t] == \[Eta]s[t]*K[t], * G4 D3 Z* `6 y* \
   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\5 Y' r5 z$ ]) l. m
\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*6 R; h1 y% d4 O$ Y3 m8 A, G* c* H/ v8 l
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
* e: a& q) q. R  }         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*$ O0 u4 J% ]: `3 v
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*
2 x! E0 t" k. Z0 }3 V      cap)/((\[Gamma]a^\[Epsilon]*pa^(
( s0 j7 r) {: k4 a         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*' h2 [5 O8 T5 B! i  [" ^; e+ D5 n
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \# y: I: ^) \9 Q7 S& C
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
; E$ d# E. P8 m8 j4 x( q2 j" V; m# @      xm (t)), , o( w4 F1 @9 o0 {+ G9 O" [9 K$ R
   Sm[t] == (\[Gamma]m^\[Epsilon]*' g; N/ I# z5 W& `
     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(# R; ~( \# @/ X6 E5 W3 w
      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
" b9 H. J) ]3 H3 J. X7 \) ]      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*- H9 i) K* V5 j2 R- ?
        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
) [* ~5 ?4 Y* L# M5 }9 C. [, Y   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
0 R* l0 a+ y. v" A& V        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^($ u! M; o* F5 j7 c! b
       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
2 {, {* B9 ~1 `% L       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
# T  u; p" X2 ~4 M  G         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*
! Y8 t: t8 f9 E; }6 J5 f      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*
9 u, [+ ^* v2 m/ b      csp)/((\[Gamma]a^\[Epsilon]*pa^(
! w' i9 c0 _# ~) n         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*0 I" L/ Y5 H& }# n' ~
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
; {* M0 g3 n* f\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
' V3 L4 X) p: w( M( ]1 B1 I1 ~      xm (t)), xm[0] == xm0, 1 l4 ]  k: a/ |  n
   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0, 9 w  R7 ?7 V+ ^  L, X
   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,  e" Z" i4 q1 y! |  k
    0, TT}]
; X1 o: }  i5 H3 _- e' S; aPlot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol], / g/ {& y7 m) J9 W  J0 N
  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0}, 9 q3 l2 C( _) O# g9 l4 f* V& Q
PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]% t5 ~4 U. O# e  ^2 e
Plot[{Evaluate[D*Sa[t] /. Sol],
/ J; H( M" I2 n) q* r  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
, c/ o! ^/ Q- [       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT}, & j; Q$ Z, E! k' Z) d/ X
AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8}, 2 C. k7 a1 x% v8 _1 j8 e
PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
' s: Z" |' q  B* B* t: V( ~4 L
0 m. A4 Q6 J5 W4 o, }: M# _& n$ Q5 a/ \5 F7 ?5 _) N  N
0 n) w7 }4 h  \. H) h

" V/ x, C6 c  ?& y* NSet::wrsym: Symbol D is Protected.  z& }( k! q; L) Q4 J
$ n6 d( N$ \. Y" J* M. K* z3 u% p
NDSolve::deqn: Equation or list of equations expected instead of 0.96 (1-6.66667 xs[t]) xs[t] (-0.5 xm[t] (-1+xm[t]/\[Eta]m[t])+0.09 (-1+(2.5 xs[t])/\[Eta]s[t])) in the first argument {0.96 (1-6.66667 xs[t]) xs[t] (-0.5 xm[t] (-1+xm[t]/\[Eta]m[<<1>>])+0.09 (-1+(2.5 xs[t])/\[Eta]s[<<1>>])),<<13>>,K[0]==10.}.
5 Z# z% Z3 U! g2 [5 P9 y5 ~) f3 t6 @* T

1 P/ i& i3 H( b) w; W& P6 |& s6 z# |! X

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