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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, \
- _; a$ v8 @$ s! T\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]
, l: \- K$ H3 U7 l- H+ f, G\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s =
+ ?2 H4 J5 A9 v* I9 T 1 - \[Gamma]a - \[Gamma]m;
- A& I* `" Y8 n% z\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;( A1 ]/ e; p* ]7 o
\[Theta]m = 0.75; \[Theta]s = 0.9;+ Z; J9 c7 o, A8 C% q
gRate = 0.02;; ]# e; l: S0 u
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;
/ ], j& j6 M3 y( h/ s; |ps = Bm/Bs; pa = Bm/Ba;. D$ y! F4 r0 {8 ?& i* Y
\[Delta] = 0.03;4 l/ t" a" b6 g% x
B = \!\(TraditionalForm\`\*
. m  I4 S( F2 N+ w* u# P' `FractionBox[
9 j* K2 {. X- p, L3 jRowBox[{% i. T8 ~1 |4 L0 S
RowBox[{4 [2 f$ }, u8 `6 D" j( G
RowBox[{
% S9 Q4 G0 P5 Z, v. R  o3 Q# @6 qStyleBox["(",% f4 r. o% P! a- u  K
SpanMinSize->1.,! v2 [" W, }8 S5 v2 u- ?
SpanMaxSize->1.], : G8 X9 v" u( S; V5 |2 m
RowBox[{"1", "\[Minus]", "\[Alpha]"}],
0 }( j5 j" L. ~1 ]- aStyleBox[")",& d4 }* I8 y& D) D, p9 E! C& B
SpanMinSize->1.,$ d1 S% b# E5 w9 a3 G' s9 z. S% v
SpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
3 ^  D; i- b9 i- A) N- R8 H3 E7 Y      "\[Alpha]"] \[Minus] \[Delta]\);. Z7 l; G. r. \  y0 f9 t
cap = 10;, Y% n4 q) H' q5 Z! s
csp = (pa*cap)/ps;6 ~4 i+ }0 L  @+ }- p
D = ((1 \[Minus] \[Alpha])*
( x7 P/ {9 I' ?3 `: K0 q! v' a( y    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
( _3 \4 r$ u7 l: E! U  [4 Q4 [0 X8 k% t\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;2 L+ s0 P9 M& J; n; z
Print["*** Initial Values ***"]# h. k" W  N5 R0 u" ^( ^
E0 = 1.5;
, b" Z1 Y8 f( \; jK0 = E0/B;7 r# ^, I" u+ r$ x; r0 t# U
hm0 = 0.25; hs0 = 0.25;(* initial values *)
/ D* {( l  U! |0 L2 ]\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
5 F/ {# ^! w' Q/ |$ `7 \, N; zxm0 = (B*\[Gamma]m^\[Epsilon]*
' u9 q4 C$ H  a. R5 x0 p   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
" k, c# i' v- d% U) B, [& s' w    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*4 g" s- V3 r; k5 y' o
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*9 |/ Z/ V$ b" z; b3 r
      hs0^\[Theta]s)^(1 - \[Epsilon]));
+ V: g" j0 C) Z/ ^xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*
" I7 u2 R' M8 U     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
3 S. ~6 A& K7 j0 _    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
4 b0 W! @, j2 W: `! Z    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
' i* \) _( s# U+ R5 }& k      hs0^\[Theta]s)^(1 - \[Epsilon]));
1 b+ ], J. k; t/ v# VPrint["\[Eta]_{m,0}=" <> ToString[\[Eta]m0],
* Y# }8 I1 J/ ~ ", \[Eta]_{s,0}=" <> ToString[\[Eta]s0], , W7 c+ w" ^& D0 ~  @  v* N
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]
5 j# ]6 t) V  k- DTT = 100;(* end time *)
% e  f& I, G( q- R(* Solve differential equations *)" y6 @; H* O" T3 n) U- @  V
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
) k* B3 H' u- m1 d     xs[t]*(   (1 - xs[t]/4 K  l3 W: z6 M* Q2 H9 j
         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) - 0 o$ Z' o8 @3 }6 p
         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))),
- \3 \& ^) v2 f   xm'[t] == (1 - \[Epsilon])*
. s1 }3 F6 m6 S7 M* o1 V     xm[t]*(   (1 - xm[t]/
( B" C5 j. r. D0 [8 w$ o, @: R          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - 6 U; Y1 j4 e' w5 @; ~
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - ; B" I5 ~! [0 g
          1) ), \[Eta]m'[- E9 L1 q0 |. u1 E; E
     t] == \[CurlyPhi]m*
2 @% |4 w+ K8 p& K/ I      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[
7 L& N9 f6 j/ F7 J! l+ H4 f" x     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t],
( |+ W1 o+ Y  j4 _6 A( `/ U   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t], * E& |6 s, c- A/ T$ E
   hs[t] == \[Eta]s[t]*K[t],
$ n& o) {4 p- W/ s7 f   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
5 ]# c- z# L: [) m6 B\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
  z9 K- \' ?/ x8 b" v       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
% a( ~! ?, L! Q8 T! n1 ~, l         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*
8 O$ r) w3 q5 D: p1 Z      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*; V7 o2 G5 s3 i/ R: q$ O
      cap)/((\[Gamma]a^\[Epsilon]*pa^(9 V) `2 g. h5 T' _. z+ B
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]** C  I7 x2 ?3 `, U0 O( D
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
* S1 R# O" ^3 h1 N5 v& t$ A\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)** [4 T. I6 D% X, d; o
      xm (t)),
$ s/ }) \0 \/ g4 f% i   Sm[t] == (\[Gamma]m^\[Epsilon]*
" S9 G. s6 f9 Z4 Q$ L: O     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(5 k: h9 H9 g' d" c+ }: Z9 j# a, _! J  a
      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*7 G* j; O! g. G' O# z- }" [
      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*; l* @) @) z- Z
        hs[t]^\[Theta]s)^(1 - \[Epsilon])), + _7 c8 Q" v* Z* D* f9 e
   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
2 Z& M& B: X  w1 o% B, K  u- ~        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
- k- X5 n9 |* w       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
6 H$ K( f! f' O" d% r- ]- s       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*8 }' _# k( B. I
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*
2 I6 W# |8 C; q# C3 X" m      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*  H5 A1 Z5 q+ o  J
      csp)/((\[Gamma]a^\[Epsilon]*pa^(
: K+ ?3 W) \" s' k3 g         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*. ?1 z: g7 K8 T; a6 R
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
) @% ?2 K2 i# \+ |\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
: M, [/ H2 ?" t' V% W      xm (t)), xm[0] == xm0, - B' ?, Z- d8 n6 u' x/ X2 D/ {. K) P
   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0, 4 j2 `$ n' C$ z/ P, p2 i
   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
7 T6 O4 R. v2 ?1 \2 I7 M    0, TT}]
9 I- P( G4 [. W0 O! `' T4 `Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol],
3 V! D/ [9 I/ x' F' p" A- n1 Z  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0}, 7 e% S: [$ A4 d( ]( H, I2 e
PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]) t  L- y  ]% t) I2 r' p& l
Plot[{Evaluate[D*Sa[t] /. Sol],
5 \# [( Q" f+ T- j# n2 w# A6 H- T  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
: F  ?. Z: Z+ w0 C# I; h       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
0 `/ [2 M$ C( }/ z; E5 ? AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8},
( a! k2 O! ~# B PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]8 w% A( T! L* }
' d. d, }% O2 F% s8 Q* {! i

0 m) l8 c( @( D2 O3 g  j
& R! K; E# F9 D; P0 h) n% r6 v) {+ y; X4 m2 @$ c
Set::wrsym: Symbol D is Protected.' Q" c0 j. i5 x; h5 E

5 y/ r' W6 J* {8 t% d6 I/ ANDSolve::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 A7 @# A' I) O0 G2 c4 x- d
* i. ]3 M- w6 W) u9 @) \7 U: ?& q) [/ S, S

/ H$ b6 o2 r! m- P$ v
6 m6 L/ R! X" W# Z) {
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