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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 |显示全部楼层
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Clear[Am, As, Aa, \[Alpha], \[Rho], \[Theta]m, \[Theta]s, \
+ E* M) M( c# ~\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]], R9 q6 ~2 x; [7 ~
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s = 5 |2 t9 L0 }2 v: b
1 - \[Gamma]a - \[Gamma]m;
4 N+ X  i1 n( i* p7 B, y0 n\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;+ `" p* l  z& S4 K
\[Theta]m = 0.75; \[Theta]s = 0.9;
; h# M2 I3 B( d+ K; VgRate = 0.02;
. c8 q8 b% h& m7 [Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;, w1 P! ^. ]: U* Z- i5 w
ps = Bm/Bs; pa = Bm/Ba;' L) G8 m% l' X+ t$ N
\[Delta] = 0.03;+ ~" U3 g3 L* D0 D- s: k  L3 R6 f
B = \!\(TraditionalForm\`\*
! ^0 {% e! S# Z0 ~( ]7 SFractionBox[0 C5 d) S1 g' F4 ]
RowBox[{
3 o" {- F* m; H9 W2 H. g+ F: ?4 RRowBox[{
, m8 m& v/ I5 R* D6 T6 _RowBox[{
8 m8 o5 l- u' `# ]2 }  }. mStyleBox["(",9 R' N( h( N) G, o/ Z3 c
SpanMinSize->1.,
. L- N* j( Y" {2 m. W. N3 h' BSpanMaxSize->1.], . q+ ^7 Y+ k6 o
RowBox[{"1", "\[Minus]", "\[Alpha]"}], 4 W6 q& S1 g; S4 A& Q' |) Z
StyleBox[")"," M% f6 J8 I$ o' O, O! X
SpanMinSize->1.,3 O- q9 x* E' T7 T+ B
SpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
0 e! b( M9 G5 Q( y  `      "\[Alpha]"] \[Minus] \[Delta]\);8 a) t' S8 ~9 h& n
cap = 10;* S) x; X; T; @5 B& D$ |2 b8 r
csp = (pa*cap)/ps;
( G7 B2 Z5 D+ s0 s) rD = ((1 \[Minus] \[Alpha])*
3 ]) b- `! S  s, m& _- O* C$ a    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);5 o8 X# y( R% ~0 n1 Z# d" v8 [
\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;0 P: W) p. Z- l9 b' ?7 w( I
Print["*** Initial Values ***"]
; k3 s4 V# ?% a4 U2 zE0 = 1.5;
& J- ^8 C; M, i9 c& aK0 = E0/B;
, B- R3 p: O& A5 H; }3 v; W9 ^hm0 = 0.25; hs0 = 0.25;(* initial values *)
4 ^# a5 v4 U( X& h: S/ m\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
  v+ a) t8 n4 n. ^xm0 = (B*\[Gamma]m^\[Epsilon]*
9 G% A2 C( N# g, J+ F   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
! n, \# L; d$ @3 b    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*0 l3 p: s6 X" a+ Z* W# E7 C, O0 e
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
( n! D* q. W( c$ `' Y# D      hs0^\[Theta]s)^(1 - \[Epsilon]));
8 Q  ]" U0 D0 A' vxs0 = (B*\[Gamma]s^\[Epsilon]*(ps*
5 @! `) @  O. N" I     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
. l* R  a  @7 u- P    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
/ i3 v9 k* ?2 F5 e5 T: z: v    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
) n( R0 O+ L% t2 y, f2 h      hs0^\[Theta]s)^(1 - \[Epsilon]));
1 Z+ i0 x8 c' O7 T7 nPrint["\[Eta]_{m,0}=" <> ToString[\[Eta]m0],
" h; x5 O4 y. I8 A& @6 i ", \[Eta]_{s,0}=" <> ToString[\[Eta]s0], : j' y$ Q, R. W9 v9 x
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]) @8 {7 D; _- |; T, @2 T  ^. i
TT = 100;(* end time *)/ l: A4 [5 ~& p' I& P
(* Solve differential equations *)
5 N  C" v! K0 B# G/ c# U( {2 O# sSol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
2 _* }* V0 _2 ?5 T5 S5 o# f, T     xs[t]*(   (1 - xs[t]/, G# k$ t  h' h: `% A$ }. |8 i
         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) -
% f6 q, V5 i. v         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))),
7 Q$ a2 ^4 A% \$ m! _   xm'[t] == (1 - \[Epsilon])*9 @" {: O6 j6 d& c/ ~
     xm[t]*(   (1 - xm[t]/2 o  R" ~8 H; b# H! Z# m
          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - - T8 d! P+ j7 t2 U
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 7 G; ?1 y% k+ Q; x  A8 @$ f5 w( j0 |! |* D
          1) ), \[Eta]m'[! y" x3 b! s: F+ \
     t] == \[CurlyPhi]m*
5 q5 t" \2 C  m9 }' e      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[
6 Q; a1 N* R; y& |7 ]# O7 U& }     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t], ) d& o" j# t  P8 y4 r8 E; G
   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t], % k; w" Q* \6 b2 o* \
   hs[t] == \[Eta]s[t]*K[t], 5 y' [8 v5 d1 G# {# s
   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
3 D/ P# w! w8 S1 B5 s8 Q; I6 ^\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*" }- e  T! {- J% l& @7 o
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*2 L! h- a9 @1 |+ E6 C8 O  k; q
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*4 W. z5 H  V$ U( t
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*% l! l+ A' L3 `# N; ^
      cap)/((\[Gamma]a^\[Epsilon]*pa^(
/ @" ?" l' j8 I* g' t$ X* u5 L5 q         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
; K! G& h" [" a& ^  F         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \+ L4 l9 i, K, T6 G+ Z
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*" ?, f/ D* _$ t) D
      xm (t)), " U9 I- ]  n& i
   Sm[t] == (\[Gamma]m^\[Epsilon]*
9 L0 {, ~5 }) i: ?+ T5 u8 u     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
5 p) S5 f# ~% l7 _2 B2 z) P7 R' g      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
0 f7 c! j6 j; c      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
: O: Y9 {, v# m: v* f5 u2 O        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
% {3 j2 E* Y3 ~8 x   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*& \! W; Z2 C+ g( f3 M' V
        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
& P0 V# s6 R  _9 n# j       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
5 w" R& b9 j2 l( U/ f! k       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
5 u2 T# F: A) \  F' k, K         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*( u# ?: j! b& l8 c
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*
5 k' g2 J+ }$ w) T' N4 X      csp)/((\[Gamma]a^\[Epsilon]*pa^(4 L1 o+ T) M3 x" Z2 N3 H
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
& G/ S5 \  q6 c% f7 `& }         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \. S( t! @, N. G3 O( h4 c) p
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*3 \8 ^8 l6 {# Z
      xm (t)), xm[0] == xm0,
6 r% a+ Z5 j$ b$ g5 i   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0,
; N4 @0 O. E- P" O) o3 c   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,. y7 N# q: \. M0 z) b8 x3 ]5 s4 C
    0, TT}]
7 E/ v3 u8 g  i1 [0 T; LPlot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol],
) @: N8 H8 y8 |6 `, Z/ c  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
  {  w3 P. s: `! A/ J+ q6 Z PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]- |9 s) w0 y) k
Plot[{Evaluate[D*Sa[t] /. Sol], 8 ~2 S1 C# v% N
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
% X/ K/ g) e2 p       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
$ T* a- Y6 s) D" V. Q AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8},
8 G6 ~; D- T1 O7 \ PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]* m5 ~* d' m: H; X. v6 g2 p
1 ~% ~5 y& y) J; \) _) n( h6 U

: `7 O* u3 x0 {; A! K# ^9 F: l4 B. Q7 @& N0 U1 I

2 C, \" f. \. L) W& G1 l2 k1 lSet::wrsym: Symbol D is Protected.
6 r( Y2 ]$ X! I( |; i' C; N$ _1 G. v! N; v& a) H/ W3 e. 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.}.
& p5 P. ?. u2 Z+ G" n- B; i4 r- T# V4 s
0 t+ s, d' T& b2 H7 b
0 ]. l; H  I, b7 {% N; ]3 {: l  d
4 G0 F4 [8 v$ R. D9 [
zan
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