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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, \
/ ~8 x6 f; L1 V' j" n! o2 G\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]) r. Q4 H8 g; T
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s =
3 |# W) x. `  D7 O4 C: m! ? 1 - \[Gamma]a - \[Gamma]m;7 c; f- a. K& V! G, I
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;
& a# y2 f# n4 X, F8 N\[Theta]m = 0.75; \[Theta]s = 0.9;) K$ b- m: a+ p9 F$ {# H) l! `
gRate = 0.02;
* T8 ~" C" G8 s$ BAm = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;
( f* [# G% V0 {ps = Bm/Bs; pa = Bm/Ba;
. x) @1 p) L' x\[Delta] = 0.03;
2 L  D! W, J/ V8 k2 v. e) @2 v# ]' aB = \!\(TraditionalForm\`\*& o1 q1 {9 }- l: k* n
FractionBox[8 l8 E9 s+ j& N, o) M
RowBox[{
; `; i- ^* C7 I2 z  ^: hRowBox[{1 P. e* y2 M7 G
RowBox[{
' l; g6 h9 g! E; b8 u+ u; `; x4 cStyleBox["(",5 @9 J' C5 B! j* m( {5 ]
SpanMinSize->1.,
7 V+ Y& o) g- H: vSpanMaxSize->1.],
( I+ J7 e( _+ s) n; e9 W( i: g5 E# _9 rRowBox[{"1", "\[Minus]", "\[Alpha]"}],
1 F6 c" e  e8 m2 b( b3 ~5 A" e( FStyleBox[")",
6 {! C/ Z3 k+ K1 C  QSpanMinSize->1.,2 p- p7 {2 ^. V7 v7 B# b3 {
SpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
( D/ [% R3 v$ Y2 ]7 I      "\[Alpha]"] \[Minus] \[Delta]\);
! c- Q0 u- f5 U( G" Ocap = 10;. O! d) J1 ?* Q# x
csp = (pa*cap)/ps;
/ `8 M& A( l( Q6 U; |3 @  {2 {D = ((1 \[Minus] \[Alpha])*
, x2 K0 _. B' @% }9 q! Y' ^8 y8 t    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);$ w% P& J( q! f% \+ d
\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
- R6 W1 B, s* \8 d' W6 kPrint["*** Initial Values ***"]
, \" R$ U$ [( T- D1 N5 Z5 Z$ SE0 = 1.5;$ Q* S  n( Q9 E; }
K0 = E0/B;8 n! f  {$ Y  g: h# r' }
hm0 = 0.25; hs0 = 0.25;(* initial values *)" F, U7 j4 G7 b, e4 @
\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
( o9 E0 @/ c1 X* s# L) \( Mxm0 = (B*\[Gamma]m^\[Epsilon]*' m5 s8 r1 z) L$ C4 a. Q2 w6 R' l
   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
( h) R* W' C$ m0 W9 T    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*4 E2 z  j/ h9 Z/ m, S+ C
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*$ v8 w4 g" w, S9 o0 @1 c! v! J
      hs0^\[Theta]s)^(1 - \[Epsilon]));: ]& K0 ^* J4 _8 U  E# c6 x
xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*2 m* u) ~7 M9 X  i
     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
) H' x( S) G" D$ M    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*  N1 q+ R, f/ {0 `7 N2 W7 E
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
2 S3 |& {# ^/ o1 l( p6 G      hs0^\[Theta]s)^(1 - \[Epsilon]));; T$ l: ~0 c7 x( `5 v
Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0], % i8 ?  j& |# l$ _
", \[Eta]_{s,0}=" <> ToString[\[Eta]s0],
2 K; G! E, d' U, V$ `# K ", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]% v1 ^( V* B4 g) V( D$ }  v
TT = 100;(* end time *)
6 U3 y' A2 D6 E: t" _! s  X/ _(* Solve differential equations *)
% R! M/ j2 z/ gSol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
  J, z* K) S! T+ f. @     xs[t]*(   (1 - xs[t]/
' i: e& u* {; J9 h; W: g         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) -
: x% R7 i, S! m+ U4 b         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))),
& r* S3 L+ b; H   xm'[t] == (1 - \[Epsilon])*
  e. o/ Q  y3 ~, n8 g$ P5 {$ g% q     xm[t]*(   (1 - xm[t]/
& E/ ]6 {5 W# O/ u( I          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - - O4 L, K- F: ?, ]6 ?
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
. d. o7 V& U5 o6 `          1) ), \[Eta]m'[6 A3 A- P% r2 x5 ?+ _! V
     t] == \[CurlyPhi]m*: e  J8 `' D- B. d
      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[
( U+ W5 E' c* t* V" U     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t],
9 d4 d' Y0 U( n7 \; X   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t],
; _1 X- R+ H: I* ^7 }   hs[t] == \[Eta]s[t]*K[t], 8 H2 p! R- i5 w: b, L0 n
   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\/ z0 p$ U5 j6 y2 }, N
\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*, d5 L! h2 C& G) O8 i
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
; b  \" |* W  M2 C' q& z) [         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*' D! x* e. f& e, H4 j
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*% A7 C% d3 ^( f$ V' y
      cap)/((\[Gamma]a^\[Epsilon]*pa^(
* Z( l7 U( E& D; ~         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*5 g8 B) a% ?; p, Y! F7 O, l* v/ Z
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
3 C* p9 e! t8 z- C9 T6 t# S# ?\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*9 B: C# b! z7 Y2 e) X
      xm (t)),   t# u$ }$ F) u! p' Y" r
   Sm[t] == (\[Gamma]m^\[Epsilon]*
  O1 d% f0 g5 u8 I2 h* u     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
3 C& v1 w) U+ l6 C- W% i4 v/ B) ~      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*  p, v) H! j  _5 }2 T0 C. }  v
      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
' @% R8 p8 m2 m+ Q        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
  }6 Y- K5 N0 ~" ]   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
& s- }9 k7 d9 R0 \        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^($ Z# d, B6 @7 S/ T( W$ l* ?) M" W
       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*6 e8 W: f! f$ g
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
. [  n# }5 x/ }. f3 _. z3 H         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*
+ P$ C: G' T* ~0 z5 m( A      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*' z. f; f9 |( c' A4 R5 y7 n/ T
      csp)/((\[Gamma]a^\[Epsilon]*pa^(" @2 F* \( \- [" N' K  Z' l' N
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*8 E! U9 T' V& p. w0 E$ h  J. D
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \& o$ h6 @9 E- U
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
1 Z$ Q. T1 ~9 m) k6 V      xm (t)), xm[0] == xm0, / ?3 ]0 \; Z( I) q6 A$ N
   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0,
1 V8 u- Y1 U/ I& G/ T* c+ e1 C' @! G" H   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,$ Z( _2 {# J  Q: w# |% E
    0, TT}]5 I! I# N  Q8 j9 d
Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol],
  j4 `0 C! S8 s2 K* y3 X. n' e' y4 t  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
3 [8 C0 B, I) c& k) A8 l( `# q: b PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]9 C0 C' p- q! l
Plot[{Evaluate[D*Sa[t] /. Sol], ( V& z* f- d6 c, ]
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
- P5 G' P9 P. N6 i' G* m4 q- q( ?       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT}, $ G1 B# Y1 @: d# X$ [! f/ q
AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8}, " {6 a0 y# n3 \. t) p
PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
& O: y3 W! R* a& o
! O1 M$ F' J! f- ~1 k0 `
4 q1 N, V7 c! a) r9 k) b3 z, O* B2 Q8 Z, A! U# p
# ~  v4 N! q- S0 |8 |' Q
Set::wrsym: Symbol D is Protected.
$ ]+ @% R  [  o- H+ F' @5 b7 O0 j! ~- A+ v+ G" p# J& }
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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