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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, \) l2 |2 i- p1 f7 l* z; N* O2 y) _
\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]9 @& a9 [# u8 i0 K( h
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s = ; W9 `4 K# W6 ]7 ^5 @7 q9 R2 r
1 - \[Gamma]a - \[Gamma]m;$ x, u) k/ @& E$ O
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;2 P/ I- P" L) E2 z; }
\[Theta]m = 0.75; \[Theta]s = 0.9;8 O& X$ w, x( t/ o
gRate = 0.02;- k2 o2 T+ R: Y9 Z4 R& y& D% ?
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;9 s2 f# k% f9 A9 P+ r
ps = Bm/Bs; pa = Bm/Ba;
# X8 z2 P/ c; F5 f\[Delta] = 0.03;& W3 h( g1 V2 v, S/ ^
B = \!\(TraditionalForm\`\*
# `: K) F% f/ R. HFractionBox[# H6 U. W; X! ^7 n, \' p
RowBox[{
0 z& c) F! b; a, xRowBox[{
+ w6 e' [9 M  l0 w+ fRowBox[{
3 `, [6 @: M5 OStyleBox["(",1 n( |3 M! W& r3 W
SpanMinSize->1.,
  \4 {1 R% z6 L# j/ y& `; [( {SpanMaxSize->1.],
& b, Q9 f9 R  A" L1 rRowBox[{"1", "\[Minus]", "\[Alpha]"}],
4 o# r; s% d3 f/ I$ AStyleBox[")",
4 p9 |5 T$ E1 M1 w; x0 i( g' @& |- OSpanMinSize->1.,
! ]8 V. g5 A1 _( {( X# wSpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}], 5 w2 F/ b) c  H% H+ I$ }9 X4 X
      "\[Alpha]"] \[Minus] \[Delta]\);: Z* j9 s3 C8 h" \
cap = 10;( w7 G$ A: d7 M: a) H* ?
csp = (pa*cap)/ps;
" L  o- V' Q+ u7 [; RD = ((1 \[Minus] \[Alpha])*4 K2 k9 k0 p$ m/ g# ?
    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);! E1 ]7 I5 m. r+ r1 D
\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
* u( T3 b3 F& P- {9 APrint["*** Initial Values ***"]% P% R# U- _  V) ^
E0 = 1.5;
) J' w' i8 b' Y6 z. \/ wK0 = E0/B;
$ [* b% H; g) k3 z6 Ohm0 = 0.25; hs0 = 0.25;(* initial values *)
' }8 Y# p7 S. d( p3 V& Z\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;( q% H& Q4 P1 R; i0 k3 J9 J
xm0 = (B*\[Gamma]m^\[Epsilon]*
6 d% V( O1 t" E, f   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
+ p# u( t; ?. z* L. L! S5 X9 U    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*$ i% R3 I6 F, i; [2 a; ?% ^
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
7 T/ Y- V1 s+ C4 s5 G. [& z      hs0^\[Theta]s)^(1 - \[Epsilon]));9 @& L/ {9 X$ m7 v* e( M
xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*) t4 k: T6 @% ?& r1 X
     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
5 i3 Y; a7 X, F+ Y6 R    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*  T9 W& g7 F( D4 ]
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*. @9 t* @- A9 C' _' T
      hs0^\[Theta]s)^(1 - \[Epsilon]));
: C6 I+ @# ~" R6 \* a% D; V0 YPrint["\[Eta]_{m,0}=" <> ToString[\[Eta]m0], 3 n* m+ E" ]2 x6 F: F
", \[Eta]_{s,0}=" <> ToString[\[Eta]s0], - [1 @7 D! g6 P1 o: {6 D
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]
' M3 d& {* y; X" h9 TTT = 100;(* end time *)3 t1 J) _$ H0 Q6 @% z
(* Solve differential equations *)4 ]7 X7 s' M+ Q1 }/ R% j; n/ q8 Q
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
6 z. f- ~  k5 [1 T# F9 _     xs[t]*(   (1 - xs[t]/
- [6 o  A. c$ C* e( f$ o         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) - ) q8 ^- h; `/ Z
         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))),
: t$ S$ C# E7 h6 e- N* c1 Z3 D& ~   xm'[t] == (1 - \[Epsilon])*8 ?; R/ L' u( ?  b. a# K: R; z# H
     xm[t]*(   (1 - xm[t]/$ M; O6 T0 Q% n& }- J* V2 b
          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) -
9 c' P) Y2 u- N1 d( P! U       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
2 d+ Q$ B! @3 E          1) ), \[Eta]m'[" F3 i9 |, j: y$ m7 o4 v
     t] == \[CurlyPhi]m*
; G* {/ S7 e6 U" v1 k$ a      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[/ R" ~, u1 H# f- f* F
     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t], 2 h5 K7 Z+ Q/ t% D
   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t],
4 P/ s7 p! g' g5 Z% J' ?   hs[t] == \[Eta]s[t]*K[t], 7 Z0 m; p4 M/ ~: |. g, d
   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
9 c  y! l9 e1 U\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
. W$ W: V! Z; O' H6 [       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
$ Y+ t9 s; f: b3 w: Q3 n         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*4 ]) k" p1 U' X0 }$ q" v
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*; e4 }* ?9 }" u  |
      cap)/((\[Gamma]a^\[Epsilon]*pa^(( ?, T1 M, m/ N
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
  I/ e9 q) Q8 @0 C$ s& [         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
; D$ J' p) m0 n% S\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*. R" c- b8 [- U
      xm (t)),
# w1 G$ }0 L  r3 K) |4 {   Sm[t] == (\[Gamma]m^\[Epsilon]*
# V! {6 E$ K9 r1 `! H. K% t     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
9 q8 W. ]  O" w) N# j) f; }      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*1 T: _' p: @" }( t
      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*' d! {" t: [$ b" ?
        hs[t]^\[Theta]s)^(1 - \[Epsilon])), 1 k9 e; y% G0 k2 O! X. G+ m
   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*4 a4 @# G6 B' G3 h1 A/ U
        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^() R& }* G0 n6 z7 v2 a
       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
. t+ c* L+ ]- i, z" V6 _       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*- a- `' I" Y4 F7 W
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*8 Z- P8 \$ g4 i) g- e. }
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*
3 \4 S0 b! {; \# W% L. q; K# Y      csp)/((\[Gamma]a^\[Epsilon]*pa^(
' a/ G  F( T" L: {         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
' A5 X  P5 H! e) Y/ N9 L         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \% }9 E- F& r$ d) N
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*. |: k+ C+ q1 b' Q) @! g7 k! c
      xm (t)), xm[0] == xm0, ; l# Y1 I8 ?& u6 J) G* J6 n
   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0, : x9 F3 O9 D5 P% M3 ?, c
   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
/ d) F7 g4 Y' K! |3 D    0, TT}]) K0 y/ ^8 T8 G" U; h% X2 e/ H  f% S
Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol], ! Z% w2 h: O, g' E( i
  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
9 k1 l" m6 H- k+ B  k6 C% k PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
1 ~5 g3 G8 d, [, IPlot[{Evaluate[D*Sa[t] /. Sol], 3 w8 t# ~1 L2 T
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
/ f& K' x1 O9 m+ c/ u4 ^% r! r, O6 W       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT}, # V, d+ D/ g6 y3 m1 n$ K
AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8}, # c' \* b! F, s# F& z1 x+ B
PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]  f* h  B7 H( a  w; j) b

2 m4 e- `; Y% Q; d7 s
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$ C3 H( X( I  }3 a' c5 ^+ G% ?7 j% m& ^) [
Set::wrsym: Symbol D is Protected.7 Q: U# [/ g5 M

8 K5 V) q2 ?1 t% LNDSolve::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.}.1 g, u0 P) ~" c( H
; A# a# D1 [+ }: N% @
8 j0 }/ Y& f+ D% @! V. o
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