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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, \
" Z  K3 |% x: g( a' k\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]' K- T- [; W: G5 g5 v& N$ W
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s = ( T  h4 c" c/ G* D
1 - \[Gamma]a - \[Gamma]m;( a. M, ~" Q8 j% g( \# k
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;' A0 E7 p- H; Q2 P* j. L
\[Theta]m = 0.75; \[Theta]s = 0.9;
" D, c. F, y% W, D3 D$ jgRate = 0.02;
* V9 L3 o" z" |! WAm = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;3 l2 W# S* t2 H& u1 M+ Z2 Q8 \* r& D
ps = Bm/Bs; pa = Bm/Ba;$ i$ k* W, R8 `1 [; h" L
\[Delta] = 0.03;! s  {) q6 u4 W4 f. ]+ O
B = \!\(TraditionalForm\`\*
3 e6 x- a. }: j5 |FractionBox[2 _5 {- S) j5 U. h8 l8 @' y
RowBox[{- T- N4 u. u) b" S4 c* n# W& ~
RowBox[{
) P8 Q& `+ |3 q8 q# e5 [+ ~  VRowBox[{8 e- G) p9 F) o' v
StyleBox["(",
, W( x4 v8 `" p: s) O- ]  N( VSpanMinSize->1.,7 y) b4 f5 Q( ~  H8 ^6 W- A
SpanMaxSize->1.],
' k9 T( R. v4 f& iRowBox[{"1", "\[Minus]", "\[Alpha]"}], 3 {5 D  f& ]+ Q- P
StyleBox[")",
) e4 o1 G8 X; D! K+ j: A6 sSpanMinSize->1.,6 H( J+ W* O4 b  C; d7 y5 I. t
SpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
, W7 s7 J9 ?9 T4 q+ o      "\[Alpha]"] \[Minus] \[Delta]\);2 U/ T1 Z5 l) s" t$ }% I
cap = 10;4 J0 u# R! M0 t5 A& }( L3 [3 B
csp = (pa*cap)/ps;9 r5 o+ d" P3 z1 Y: p- ~
D = ((1 \[Minus] \[Alpha])*6 F7 X7 g2 I' W+ }% s! }
    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
2 M/ \4 i3 C$ v9 ]" I7 q# w\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
* m; Z0 ^# ~7 K" Y& |Print["*** Initial Values ***"]+ n0 q! S, j/ y, ^& t' s
E0 = 1.5;
) T/ X& C$ o: W" P4 RK0 = E0/B;
$ G# ?' o# V4 Shm0 = 0.25; hs0 = 0.25;(* initial values *); w7 e+ G% x6 o% T( r
\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
1 x9 F" g5 ~, z2 }% Kxm0 = (B*\[Gamma]m^\[Epsilon]*
8 o; G( E1 x7 u6 c1 p7 _% h% W$ i% U   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(# V0 v  f& Y; u+ [4 t
    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*( W: @5 ]+ u% X9 j1 n0 j& T# u9 `
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
: b) R5 [& c  W7 K: W      hs0^\[Theta]s)^(1 - \[Epsilon]));
- l4 J$ }8 m. m" t9 r9 d9 wxs0 = (B*\[Gamma]s^\[Epsilon]*(ps*0 e. J6 b$ n( B2 \
     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
! ^7 s0 m& h# L3 W+ q/ L2 ?% t. R    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*; \$ F0 m0 t6 W8 M
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
+ T  _* o' y' j, d1 t      hs0^\[Theta]s)^(1 - \[Epsilon]));
3 |; r- t3 z' a4 s' {Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0],
, Z: N5 i# ~. u- S$ U ", \[Eta]_{s,0}=" <> ToString[\[Eta]s0], 5 M. L8 S, z9 N; ]. q
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]
& B* x' n% k) Y! c. V" OTT = 100;(* end time *)
6 U: b4 ~4 r. g" D$ N3 `0 w(* Solve differential equations *)4 U/ z! l" X% E) m
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*8 G5 t2 r3 T- E% E) ?3 Q
     xs[t]*(   (1 - xs[t]/) _& Q+ X( _; A! N' A# E1 o
         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) - 9 R! i5 z% @: Y, ^
         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))), 1 B: ]# M( a+ o4 @9 X
   xm'[t] == (1 - \[Epsilon])*( ~% {7 V5 q: M, W) l# g
     xm[t]*(   (1 - xm[t]/
0 R3 p/ L2 R( C, c" z' G          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - 9 }8 y0 s+ G3 {0 }; j- P
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
+ s9 O7 I8 G2 }9 e% u& Z/ V0 F          1) ), \[Eta]m'[
; M9 K* a- l# h3 {( k     t] == \[CurlyPhi]m*+ _0 _' c+ }6 G0 i% k
      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[* Y3 y* f! h3 D- @
     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t], " a9 c3 N+ {. H4 d, y
   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t],
/ u& v; e# ]9 |   hs[t] == \[Eta]s[t]*K[t],
, P# _; P( s9 Z" a. Q' ?   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\& K  @. s# d+ G, ~
\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
( S7 G+ O3 j6 i4 K. o       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*1 V1 s6 ~7 C/ M: l" n' u( n
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*
( X0 v5 ^, Y9 C5 l( g      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*
3 p5 x6 D8 M. K2 T7 D      cap)/((\[Gamma]a^\[Epsilon]*pa^(& r% u9 I- L; \# f" A: P( A
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
, X; r* T3 W: x3 C2 _8 {         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \4 }' Z4 J& E5 d8 s, W* x5 `7 n
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)** W; e4 M) \" I2 K; d4 z& k
      xm (t)),
0 S3 Z; t, m! q) I  B; z. E   Sm[t] == (\[Gamma]m^\[Epsilon]*
2 f4 j5 v; w3 h) o     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(6 H: \9 F: |* q' k6 T
      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*- p8 W: [9 X* G9 V6 e* P
      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*( n6 t3 v8 Y9 \5 Y
        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
  M0 b0 }& |  S: x8 R3 h1 Z: L   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
; m; m7 n7 [" |4 H, K        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
" F7 S9 @% x* c- Q- o' _       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*; C3 H6 F& `) t/ _" w
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*+ Y5 z8 s# F7 o; y+ x
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*6 Q5 [- A5 a8 u1 P# y9 s
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*% Z0 g# c+ }: N2 U* R/ U  R
      csp)/((\[Gamma]a^\[Epsilon]*pa^(' B; t2 o7 J, c5 I( V( A& X
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*: Z  Y, Z; U3 |, _: S
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \% d( J! W6 u" r+ ^5 |
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
# E2 L6 l$ u( _' D      xm (t)), xm[0] == xm0, 2 Z' T* j3 z" R4 Z) A) N7 {& `
   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0,
' x, g9 u! c7 O7 g, W* o   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,# V" }2 r8 ]# F# x4 c; P
    0, TT}]! h/ ^, f- v; [6 T% ~
Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol], ! r# @* k' |: Z* T) L/ O" o
  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
$ \( s2 t* V& B PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]: b8 Y. T3 M) F
Plot[{Evaluate[D*Sa[t] /. Sol], - ]( x/ u. W" {" U+ c) e
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
, a$ ?- c; ?; q3 o! J$ z       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT}, : J- F! \6 z( q; `3 `; d
AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8}, 5 v( z% u  ?5 x$ ^
PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
) d; F/ W0 j$ X, t9 Y" m( T7 _. N
0 G: w& C( ^1 |  C, z. y+ R9 p- f% j. K; j

' e) k1 P2 q8 u; S+ F# q
) f& D# O# _$ ESet::wrsym: Symbol D is Protected.
( O' C& M* J! r0 n# h# q+ o- Z! d0 U) e7 s! n0 k% |
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.}.2 C. L1 Q* N# i; A, F" E- @

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