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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, \
7 }; c7 I  N, \\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]; n1 @0 s2 G- q8 z. P
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s =
* c& X( q7 T1 {+ @- D 1 - \[Gamma]a - \[Gamma]m;0 A. G5 ~: j+ f( f9 {, {
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;! x5 z% \# p4 v$ j5 \
\[Theta]m = 0.75; \[Theta]s = 0.9;
5 [( P% J! Q$ L: @2 kgRate = 0.02;, H7 n/ \9 h- X: I0 U
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;
  g6 n* p3 O6 Z; J3 yps = Bm/Bs; pa = Bm/Ba;
- s( n# ?, P$ X! H' P" H1 j: C\[Delta] = 0.03;
1 q& b# d5 L/ A$ pB = \!\(TraditionalForm\`\*0 U8 s4 [" ~* @
FractionBox[
* I7 L, o2 v3 E5 uRowBox[{
& S& j% G" ]2 }9 K# K8 sRowBox[{
% q; ]# H+ s( w, N0 lRowBox[{# T! H) d3 |. c4 M) F
StyleBox["(",
2 Z, k# E* }& ?% @+ [2 `6 e$ Y+ oSpanMinSize->1.,7 {* }7 W' H5 i
SpanMaxSize->1.],
% u; O' I/ C4 x& J. a" F  SRowBox[{"1", "\[Minus]", "\[Alpha]"}], ' w' |% E  x; |4 X* p, `! d) Y
StyleBox[")",4 i0 D) s/ a" J7 m) T- ^* p
SpanMinSize->1.,' s3 z, s: h- o, y* z- D
SpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}], / r2 r, u* @+ B( r8 g1 o1 o
      "\[Alpha]"] \[Minus] \[Delta]\);& W& ?7 n1 Y9 j
cap = 10;
: o7 z: z2 w" s% ^. Ncsp = (pa*cap)/ps;
. a9 Z. b9 d9 J1 v8 v& TD = ((1 \[Minus] \[Alpha])*
6 ]7 d* J2 ~- H. D' N" G: _  N    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
" R/ }! J) X% t- X  c5 q/ I\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;  G) _9 C! ~6 F5 a0 H! d8 Z6 f& o5 v
Print["*** Initial Values ***"]
1 }5 J2 ^- E( x5 b: w$ qE0 = 1.5;
, {# {# r2 b1 C5 P2 d* t% uK0 = E0/B;
, w& l/ x+ p2 I0 mhm0 = 0.25; hs0 = 0.25;(* initial values *)
' O$ E; h7 W7 m# z\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;9 j) T, F. f4 s0 F* l
xm0 = (B*\[Gamma]m^\[Epsilon]*5 N9 ]9 Z, N& @+ O- n6 T0 H$ @
   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
& W; L8 u2 \/ N" C$ R8 o/ d6 f    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*- ^9 I" y3 `# ?8 F
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*/ R5 O# M- Z* g( x
      hs0^\[Theta]s)^(1 - \[Epsilon]));) p, j, b6 M% O2 h
xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*
8 Z0 v* R, N- U9 x     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
5 X  _) }. \, W/ p8 N; E  q6 g' c    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]** C7 e  v$ r( \. v) J/ s! H+ ]
    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
/ h* C6 D! g; u# o) a      hs0^\[Theta]s)^(1 - \[Epsilon]));7 C* v- p2 P. y' O+ H6 R- p
Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0],   B! l3 B7 V/ d, {; W$ Z5 C. P
", \[Eta]_{s,0}=" <> ToString[\[Eta]s0],
) d. S) [5 j% W ", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]5 B0 w+ p; A6 \$ w' {7 n
TT = 100;(* end time *)
/ e. T, M# @) y5 s(* Solve differential equations *)) f& P0 h( k6 |& w" L1 `
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
5 m/ d9 U; G0 @3 B- `0 l     xs[t]*(   (1 - xs[t]/
. {% d# Y: L  q/ j+ Z         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) -
+ }$ {/ }( \! R+ ?' x' M         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))), 6 B3 X: s; S5 ~4 p1 [/ i1 v2 s
   xm'[t] == (1 - \[Epsilon])*# u' O, y  l2 ~/ U
     xm[t]*(   (1 - xm[t]/' Z( S: X4 @# |+ c  c3 X
          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) -
; o/ o* w+ _7 _, l7 h% Y4 J       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
! n, {% `: x+ _3 z          1) ), \[Eta]m'[
# v7 E. ?1 S1 @3 E     t] == \[CurlyPhi]m*$ k4 ]0 r) `9 G! S
      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[& {7 ^& M7 f" |1 j+ }
     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t], ' Z: f, ^% W. {" P  f
   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t],
& l0 ^6 r& D0 w; j' ^   hs[t] == \[Eta]s[t]*K[t],
, Z: l# g8 F# u, G0 J+ t/ v   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
& h3 ]; o* q& f7 N: M# |" Z' C\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*+ T& }3 j! Q3 l) t
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*6 b! M& I4 U- ~2 E+ C
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*
) e* v" r( Y: E      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*
8 q( \+ C  z( r7 ]2 ~      cap)/((\[Gamma]a^\[Epsilon]*pa^(
; f6 F6 C- y( O) W6 C( R4 w         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*; L1 Q: o) N, O- x- s1 [3 Q4 V3 Y
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
8 Z0 g" p) b' O0 ]: o* U\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*4 T) Y! S: m+ S, c! g# F
      xm (t)),
2 S$ m! U% x' h% ^/ \. z) e   Sm[t] == (\[Gamma]m^\[Epsilon]*, ~0 v7 y! x) K
     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(' O- m; X$ z! c  C% I' L7 G: m' a
      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
5 e' y$ j4 M! R4 e+ y      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
9 C  d! C: |6 Z, E        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
5 q5 e+ ?0 |. Z' h/ [   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
* f. i/ Z1 J  _        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(9 {( I7 w6 H! ]2 I' K' Y
       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*4 X9 `+ w% ~2 a2 _. m
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*2 M0 h: Q- H: K4 b; x) F1 ~( {! r6 B' s% Q
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*$ ]' }3 `, ^% _& Y" l3 @6 P
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps** m3 Y( W  C, W' b/ U$ u3 I
      csp)/((\[Gamma]a^\[Epsilon]*pa^(
$ U8 q' ^. K2 k         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*3 z4 J1 Z% a( _; T
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
- c: X2 G2 S% P\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*- J$ x+ e4 C1 E' K) @# M
      xm (t)), xm[0] == xm0,
, ^2 n  c  M$ s6 Y: T* v   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0, . r0 |# g& L5 V  q
   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
6 o$ @  O8 }9 |4 ^    0, TT}]( p$ p; J; ~+ o5 |
Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol], 1 S1 P& h; X' `8 e
  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0}, 4 C: |; P) v, `/ ^, s# y. q
PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}], |$ ?" e, I4 Q, {' k
Plot[{Evaluate[D*Sa[t] /. Sol], 8 A# _4 C% D. y1 }4 |
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] + # R( ^- S: k  e5 |$ y8 A
       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
% f8 S/ \4 c! M AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8}, 2 P% N# y0 a# N* n# `3 A4 N
PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
, V# O" g( L! \" r
& |! F8 }: Y/ v1 _/ v5 \. x  k9 f- Q* o2 H8 M: `3 E+ g

' |3 \* R! s# r6 I2 X4 R
. @# y9 Q) l/ V0 xSet::wrsym: Symbol D is Protected.: M& s, A7 g7 w5 e4 z. v

7 s& r% P6 H+ N; iNDSolve::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 D  m% K4 t2 n1 m3 j+ D/ _; K% N* G5 @" d
+ d6 B" }+ N3 y: o4 r

4 k! T$ s- C+ a5 w7 M
- H: O9 i& `; S  E& _, M
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