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标题: mathematica一直运行没错误,大家帮忙看一下 [打印本页]

作者: 上官    时间: 2020-3-24 15:32
标题: mathematica一直运行没错误,大家帮忙看一下
Clear[Am, As, Aa, \[Alpha], \[Rho], \[Theta]m, \[Theta]s, \7 s1 [8 D' g2 J; x' y5 @0 h
\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]$ v; r3 b; `) E  H' a
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s = $ l- p' a1 R8 a
1 - \[Gamma]a - \[Gamma]m;
, q3 x: i# `$ Q, D. C2 L\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;+ G' V; l  d; S. w
\[Theta]m = 0.75; \[Theta]s = 0.9;7 t9 p. _1 P- Z6 t  I* ^3 y: C
gRate = 0.02;
% j7 n! S; A9 v1 v. A, v9 g9 o* ^Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;) b+ e5 f0 x) F" b5 M5 Q2 m
ps = Bm/Bs; pa = Bm/Ba;  e% e* O  F; c; D. C' \
\[Delta] = 0.03;% a) C) J4 g) T  v+ }0 J2 G
B = \!\(TraditionalForm\`\*
% Z9 ^  q) `) qFractionBox[1 Z1 n1 b; D, D' o, J6 W+ z; ^
RowBox[{$ L# [! \; l( S$ L
RowBox[{
. J0 B. k  J  T" F0 g8 O( \' Q5 T7 VRowBox[{1 M# j' j1 M/ h" v/ D
StyleBox["(",; J9 Y: c8 w8 d! l
SpanMinSize->1.,
1 a' D( d4 ?! v& x) J. _0 fSpanMaxSize->1.],
: R' A, P0 X0 c9 f$ dRowBox[{"1", "\[Minus]", "\[Alpha]"}],
+ a) k% E% V" w6 R7 h. H1 f+ z& q7 wStyleBox[")",
" }8 j1 m! M' dSpanMinSize->1.,  Z9 d3 J0 D. H- A
SpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
% u: l  u' H" T$ [* d      "\[Alpha]"] \[Minus] \[Delta]\);
0 a* N) k/ i2 Ncap = 10;
( ^) K5 l5 T2 k9 w( ^6 `+ pcsp = (pa*cap)/ps;" F. i# s$ W/ d  s* _
D = ((1 \[Minus] \[Alpha])*
! p! {* M( f& e, h    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
7 B1 F1 n$ T. r- m8 u\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
7 }% @: j, t1 B7 I5 `! Q" NPrint["*** Initial Values ***"]
9 @& Y- ^2 a/ h9 t% X8 n) V9 ME0 = 1.5;
. ~; U( e( s# TK0 = E0/B;
$ W* c: C6 V5 j/ ihm0 = 0.25; hs0 = 0.25;(* initial values *)+ ]$ ?) @" I" ~( {6 m' W. l
\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;, \* r) N; X% U* B2 u7 L; V8 Y
xm0 = (B*\[Gamma]m^\[Epsilon]*4 n  p: X( b2 q
   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^($ h1 i5 K- q2 e- `  }- E
    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*+ e0 E9 R0 e: u5 y" a
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*- X. Q, F- c6 T: @  N  n
      hs0^\[Theta]s)^(1 - \[Epsilon]));  n. `2 x: g- o) [/ X" F$ |. q
xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*1 J2 ]: I! V" z) p
     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
2 ]- H- U8 t: S6 Q. M    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*  J+ H8 c* L' _! D# l' O
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*2 r  w# S3 X  r5 s: e
      hs0^\[Theta]s)^(1 - \[Epsilon]));0 B0 u# `, E+ ^" m( L% X/ {% ?6 F
Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0], , I% l8 e  a4 f) @' w1 W
", \[Eta]_{s,0}=" <> ToString[\[Eta]s0],
$ |( ^* j) H* I) {: h# k ", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]
. i& P- B) c# D1 s" lTT = 100;(* end time *)3 P( L, n* x1 T% H, }( j
(* Solve differential equations *)- n8 O* H8 e7 H5 {! w5 e( C3 d: A
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
# [$ z* k5 K4 ~9 T- _0 [     xs[t]*(   (1 - xs[t]/
8 J; M7 z' a# e) @6 \( ?9 [* h         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) - , p6 _3 M8 g6 j' s8 w
         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))), 9 x  q0 D* z, R" w
   xm'[t] == (1 - \[Epsilon])** c- h/ |3 T1 Z1 h% `) j% I
     xm[t]*(   (1 - xm[t]/
/ u6 Y: _* ]" `& Z. i          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - ! n8 X& A! {. t2 c  p, |) h  _) D
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
' ^2 C% M6 O+ @          1) ), \[Eta]m'[2 q: Y1 l/ P: g( y/ J! v
     t] == \[CurlyPhi]m*
; h- w1 v; @# |" Z: t) R      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[. v6 t. o: ]6 T6 J- F  V
     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t], $ f' T/ ]# j/ _& V$ S1 J3 }
   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t], 3 K+ b- n1 k. j2 `) l& W3 L3 p, [) o4 v
   hs[t] == \[Eta]s[t]*K[t],
) E3 K, X  l0 @7 f   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
$ j8 E, x' Y3 ^0 {1 P\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
! ~6 c3 Q7 R( m- L* r4 z       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
: m2 r8 u, G5 J. l         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*
' s0 y$ r) \: m7 N5 c7 Z' z      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa** I% S$ t+ e7 @% R  C* s2 Z
      cap)/((\[Gamma]a^\[Epsilon]*pa^(
' x3 Q0 [) I& G: N9 ~         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
. s7 U9 }/ H' ~/ \4 h/ T0 w         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \# r7 Y/ Z% x7 A( H# E5 A" u$ R
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
+ s( y" C: r  ]" i- g      xm (t)),
3 z$ e  a# ^6 C) b# I   Sm[t] == (\[Gamma]m^\[Epsilon]*
4 r" Q! R0 g, V6 X. Q% U     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(1 _9 w( ~; b' K4 E, e9 X3 `. L
      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*6 l& G0 l9 j" z9 [0 Y$ w
      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
, e4 q4 ?; O) Z) q        hs[t]^\[Theta]s)^(1 - \[Epsilon])), / Z. j- G! \* v) q# t
   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
8 x4 Z& h- N  V0 a* u        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(0 e# ?+ }+ |) T" g  a
       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*9 ]( p& J& P4 E1 Q2 ^1 R; x: A
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*2 a; ?( o' M: K9 B) I- `
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*
% B2 F4 w" C) j/ U      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*3 x7 j+ k/ {3 |0 |
      csp)/((\[Gamma]a^\[Epsilon]*pa^(
) I' B3 O% w7 M6 [         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
8 W: f% i7 a& }' p         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \6 b: J* Q2 ^  e6 K
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*2 U/ ~+ m  T8 h
      xm (t)), xm[0] == xm0,   l6 j: C4 X  ^/ n
   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0,
1 h0 Y7 Q' I4 A3 A! |7 l   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
/ c6 o1 [( t1 j( V$ c+ m- e# G    0, TT}]
4 o/ m8 d1 M2 S/ T6 M0 ^- L$ O8 ^- BPlot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol], ' F! I7 l- u# _/ f: U( A; a
  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0}, , @9 [+ R: H$ `; @1 v
PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
. `5 v# t4 I& b5 j& ePlot[{Evaluate[D*Sa[t] /. Sol], $ ^$ x5 C) S  P3 r% M- p" ?" l0 E
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] + ' @) X% E7 f& [0 }* V' i* h
       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
  n# U( n" p, V AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8}, 2 s: v5 q2 B4 I! v/ |
PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]" d! E/ K) W. @: Q2 g/ V0 L

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' r. c+ P/ P1 n$ U+ gSet::wrsym: Symbol D is Protected.8 G3 A/ T: a) O$ q
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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.}.
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