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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, \! i9 c# I( _/ e6 I7 A
\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]
. E2 Z' ?, G3 I2 J\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s =
& a8 }, r/ P$ p, { 1 - \[Gamma]a - \[Gamma]m;8 I3 J% j; c2 r
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;9 F- l0 a7 R: U" c4 G1 f
\[Theta]m = 0.75; \[Theta]s = 0.9;
" z% P. @7 b/ o) _: {) e) d' qgRate = 0.02;) G5 T: _% j) m; X2 g
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;: u/ Y% I" o! [( g+ D: s5 h
ps = Bm/Bs; pa = Bm/Ba;
% g  z# d0 W/ f6 w. R\[Delta] = 0.03;
- F" f3 b- q, HB = \!\(TraditionalForm\`\*
  Z; N5 I. N6 p* u4 JFractionBox[2 E, Y# n: d# @7 n$ Y( F
RowBox[{
; A3 M9 i0 Y4 d  N2 aRowBox[{
. V9 x+ l7 A5 [/ T6 ~' DRowBox[{- D0 f. R0 u( h  [2 j5 J
StyleBox["(",
/ c7 r( C5 v9 _8 r7 l2 H# ?* USpanMinSize->1.,
9 ~  }9 g9 d0 {! }! sSpanMaxSize->1.], , H. e+ i9 k! p9 f7 A$ w) n
RowBox[{"1", "\[Minus]", "\[Alpha]"}], 7 J6 T5 b, S! |' e! G. U
StyleBox[")",  x% _# A$ r3 B
SpanMinSize->1.,
* h9 I, r2 A4 N. jSpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}], 3 u% H2 p' f* |# T
      "\[Alpha]"] \[Minus] \[Delta]\);
) r0 m. f! T; a6 qcap = 10;
7 p7 ~/ b, q, C% p3 _( z; Hcsp = (pa*cap)/ps;0 w" w. J# N- e! q7 e
D = ((1 \[Minus] \[Alpha])*9 n; F& P  v6 K0 Q! V+ Q$ L
    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
7 ^& n8 T8 {/ s$ h8 |( x\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
! W2 [# }- ?9 u. E0 ]/ bPrint["*** Initial Values ***"]
7 U& s9 t' n$ |! [: M1 rE0 = 1.5;
/ o5 ]) P' o! `! b! mK0 = E0/B;
( e1 f" |5 \! [! A% r4 y5 I" z# Khm0 = 0.25; hs0 = 0.25;(* initial values *)1 w$ c4 L; q+ R- s1 t% U5 y
\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;! x; w. Z6 E5 s' F9 X; J/ A" Z
xm0 = (B*\[Gamma]m^\[Epsilon]*' ]. r, \! v, L2 o7 o  m& a
   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
) R, \7 B/ n& I2 o1 M# v" f6 z    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*2 S. i4 B: [8 T! i% D4 w
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*2 A3 j& g5 n% m  f! _8 Q: k
      hs0^\[Theta]s)^(1 - \[Epsilon]));: E0 Y6 D- D; G1 V2 `6 \' I: d
xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*
2 s  t' b3 `) v1 b     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
/ w3 O0 u/ n1 x- e    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*: F+ F  q( x$ F  Q. z! I
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
; r, f* k) R, m4 h7 ^( I      hs0^\[Theta]s)^(1 - \[Epsilon]));/ ~( g- X: a* {6 ^& b$ U
Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0], ; l4 }$ }; q' C: I
", \[Eta]_{s,0}=" <> ToString[\[Eta]s0],
+ H( `% }$ y* G* _  E ", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]
! b; n! d6 A! F; R+ g) c* H, `, aTT = 100;(* end time *)
3 V' E- o$ o* a( y) R! J) Z(* Solve differential equations *)
) w5 Q0 s1 x8 d8 d5 PSol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
; h/ G1 o8 Q8 }. ^     xs[t]*(   (1 - xs[t]/& m; L" T) R0 m4 l  E
         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) - ( A$ @5 o6 N- x
         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))),
: x, P4 @+ G  A! E   xm'[t] == (1 - \[Epsilon])*
2 ]; G5 M3 |/ G. `* h6 l) _3 J# K  p     xm[t]*(   (1 - xm[t]/0 A0 G2 ^$ O, X9 e
          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - 6 N+ Y$ ?5 K5 c7 g1 h& u, _0 B
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
0 [) n) B& w% W          1) ), \[Eta]m'[8 ~4 R6 Y% s, s& _! s; d
     t] == \[CurlyPhi]m*
$ i+ a2 h& D3 x  w+ A      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[. v: L: B* L3 z( s& B
     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t], ' C4 I' ?2 n) {) f* [+ j/ B6 F3 }
   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t], - _6 A% H1 j, y( v0 N+ k/ h
   hs[t] == \[Eta]s[t]*K[t],
: y$ y. ]: ^: S" m- V   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\* \1 {9 I7 A% y" y0 {2 q, ^
\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*% E( F" v1 d6 p; Z* s, T& ?
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
# M. {; I# o+ `         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*
/ E" M4 z7 \' p1 F( ~0 Z' G: W      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*
' T( Q! G" E. J      cap)/((\[Gamma]a^\[Epsilon]*pa^(( F1 U2 {. B9 X
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
' {3 i' W) Q4 d$ ~7 }' V         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \0 V  N( f8 S  @7 A+ ~0 H
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
- Z5 p4 w9 [/ x8 I7 p      xm (t)), 2 y# M# v7 N+ A  k/ ?2 i
   Sm[t] == (\[Gamma]m^\[Epsilon]*
, p& r3 x7 C+ e     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
/ \4 K! f# F' u. I) K: `      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*" q& c4 a/ M3 x
      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
. g) h6 x% T, f( d        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
4 s& Q- i" {( a) {) m$ n   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*6 o( E6 s2 }1 }# q# P$ S
        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
" \1 D( w, F* Z       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*2 D: s3 Q$ v# y2 k: A. l; t
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
3 @& J. [( |. A         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*
. _, _; [7 m/ X7 @      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*
- o( y( Z$ u# {- z! p      csp)/((\[Gamma]a^\[Epsilon]*pa^(
, ]4 Y9 Q. ^5 V- d: Y2 o# d0 u         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
: i% j6 T6 K: j1 h5 c7 t; B  P         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \9 m" i; s% m) Z$ H) b* B
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
- c: `3 z' o% j8 c, ?      xm (t)), xm[0] == xm0,
/ F6 a* Z' C) K- W   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0, & h; v; ^* j0 d' R  U
   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
& U. P0 t! M0 s; ]3 `2 c$ g# \    0, TT}]+ g1 \/ C- s( D' T
Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol],
! Q3 N# K7 M" u9 i! G  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
. Y% p6 ?/ N+ K0 y; A( h3 Q3 E PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
5 f) P6 I8 A. l5 lPlot[{Evaluate[D*Sa[t] /. Sol], % |5 g! Q8 _7 b4 h& w! W
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
' T5 u9 c3 }9 A( B  K* ~       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
% S# G/ s# }! p: q- O AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8},
5 W: x: l' h3 A8 q PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
1 ?5 u1 `+ m# b) {7 m5 u& l: m7 }! I, z2 F1 M

7 D* M/ {+ b, n7 I$ O& X  k+ _7 U  |; Q% s, k
0 _5 d, V: Q: ^% N
Set::wrsym: Symbol D is Protected.
4 A8 ^2 |) e1 C% d
: M4 \1 N3 @) w' o. w! ]. x$ }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.}.% z! O  M3 Y' |: W6 @
  w# z1 \) a2 g) o: W+ _
, |3 l. |5 C4 Z/ U
; P7 E- b7 D6 P3 ~# Y
1 l- E) }6 @2 W7 F1 U- A0 {% Y2 x
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