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, \; c0 E1 G# h5 d$ M8 F' F5 s
\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]" N0 |& f; w; j: w* S- o
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s = " j) \+ K/ Y& L. J ]- ?
1 - \[Gamma]a - \[Gamma]m;7 _4 E( c8 C$ H. r% ]$ w: r: S# D
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;% f* K7 `# e+ I* E: E; v) D
\[Theta]m = 0.75; \[Theta]s = 0.9; % g# f. {% u( F8 pgRate = 0.02;$ w& K* p4 ^ U% g3 ^* ~; a
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5; ! ^( p! N: H. S3 c: Eps = Bm/Bs; pa = Bm/Ba; 6 _3 K% v6 E' z3 I a\[Delta] = 0.03; 7 x' ` Y0 c* Z5 K+ M3 nB = \!\(TraditionalForm\`\*% G- U: o, p3 v. Q! ^
FractionBox[0 f* j. o9 Z. H7 ]5 k
RowBox[{+ w! }8 w, N) o' B
RowBox[{ + f6 C( w+ l9 L/ J% R2 ~RowBox[{ ( ^8 Q; R9 C% \' `: V. FStyleBox["(", ' P# Z; C% }0 r0 U5 J- V2 ~. SSpanMinSize->1., . e* C" e0 Z+ \; d3 XSpanMaxSize->1.], & J. G T3 I; o( aRowBox[{"1", "\[Minus]", "\[Alpha]"}], 9 {' ~1 R8 l8 K+ Z8 \
StyleBox[")",9 V& v3 w. c8 w5 V6 t2 c
SpanMinSize->1., . k& B( |" p6 CSpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}], 7 t: p' S" B$ A8 j1 I "\[Alpha]"] \[Minus] \[Delta]\); 3 m9 q: W/ ~: N+ k& C: H/ a( v# dcap = 10;8 Y) M5 q$ x& f4 o3 [5 C b4 a
csp = (pa*cap)/ps;) Q, {6 A5 q$ X/ i }1 @
D = ((1 \[Minus] \[Alpha])*1 U$ p3 C* A" i) p1 K
gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);5 Q6 X/ i s) x- P8 T+ D
\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1; 8 M! q0 U- `# n3 c% @1 w, tPrint["*** Initial Values ***"] ; E+ n% g \+ @( ^ K0 ME0 = 1.5; 9 @( Y L. ^$ Y- }) ]9 z4 ~5 f, bK0 = E0/B;' L0 [1 |) R; X {/ B
hm0 = 0.25; hs0 = 0.25;(* initial values *) / O( R) M( c+ F; g3 m\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;" ]/ Q, Y a+ g' r4 k
xm0 = (B*\[Gamma]m^\[Epsilon]* - @4 y8 U1 [; `, Q0 S hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^( * \8 k: K2 [9 r9 d( ~; Z: g. [ 1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]* v1 i( z* l) E# X _. _
hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*/ h* O# M5 _) y' Q
hs0^\[Theta]s)^(1 - \[Epsilon])); , W6 F- V' S X# k( W( Exs0 = (B*\[Gamma]s^\[Epsilon]*(ps*5 k- l& f- Z. Y: G
hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(5 ?, x! f+ O+ ^
1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]* - q2 P7 I- `' x A% s hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps* 7 z; v* ?: r7 l% b8 g! Z, e2 m3 Q hs0^\[Theta]s)^(1 - \[Epsilon])); ( W6 f0 ^- @. F& zPrint["\[Eta]_{m,0}=" <> ToString[\[Eta]m0], " F7 ^+ h0 G, [7 \
", \[Eta]_{s,0}=" <> ToString[\[Eta]s0], 6 o( K5 y% a) [0 s
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]], _3 A% U1 p+ C* [1 Y) G1 l4 m1 s
TT = 100;(* end time *) + D# s' @4 i3 S. u" a: |6 P; \(* Solve differential equations *): D. X# M$ H9 z8 i, I! t7 |8 e$ Q
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])* 9 g' \+ H3 q9 d xs[t]*( (1 - xs[t]/+ i! L" d( t* |7 U0 f
B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) - ) {. d# H. K1 v( d2 K
xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))), 1 T! o, x5 z9 g: ? xm'[t] == (1 - \[Epsilon])* 5 G" @: L$ s$ ~1 t0 J xm[t]*( (1 - xm[t]/3 z8 j! {' s, g# N
B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) - 6 o4 s+ _( p) z- J. G G0 [9 i xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - , ^, s* i# i; I' J/ T 1) ), \[Eta]m'[ : q- m2 j( [6 h, l& F0 { t] == \[CurlyPhi]m* ( }1 y* o( @# C4 ]6 P- C1 v xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[ 5 O: C3 c/ c" u( p. ~ t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t], * @2 `4 D: S8 T( p0 J0 I
K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t], ) e) d3 v) c( f& e, X8 Y; N7 F9 l
hs[t] == \[Eta]s[t]*K[t], . t5 y6 K' u/ o" [$ n
Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\ 2 p2 q8 Q8 Q+ l; j* h: Y) A\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]* 1 w! x( k; \7 i hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps* 6 C5 Z' f2 @: B% d hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*3 e U5 }6 p: T1 P* ^/ w
hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*. I- c. e; R, r: d S: ~( k" k! \
cap)/((\[Gamma]a^\[Epsilon]*pa^( " G/ }- i8 b4 D A, E 1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*- B4 _# u' w* Y3 M1 n
hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \ 4 y; d- Z# w3 ?0 J2 Y8 T\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)* 5 U$ A4 n7 b6 q" [ xm (t)), , t h6 O# }4 W, R2 L5 X( c
Sm[t] == (\[Gamma]m^\[Epsilon]*9 O$ j6 K7 f- [! o9 o
hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^( 4 {: U5 E/ F7 F* C" W5 o0 x 1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]* " [/ O/ C8 S' J& n hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps* 7 r1 Y+ x9 t$ b3 G( J hs[t]^\[Theta]s)^(1 - \[Epsilon])), . p4 L; K- u" j* e& Q; X% d Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*8 \8 {# Y3 v0 @
hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(/ Z; z/ s' |+ z- j" g) n5 E
1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*1 F2 L3 l% v k5 [* x _0 l
hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps* ! X2 @- C/ t# W0 c' ~ f! F6 `# e7 y- C hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*$ t5 J4 c( ^) r4 R: F6 z
hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*3 v" h( A) [% R# n( O
csp)/((\[Gamma]a^\[Epsilon]*pa^(9 q% G# w f. G3 r, Y
1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]* 8 }: F, w. t J& ?3 R hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \ $ @' g5 k) P+ \& o\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*9 o) z. E4 \+ H+ {% x& K/ ^! [& Q
xm (t)), xm[0] == xm0, , o' Y3 i4 [7 C: F: I$ y
xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0, 2 @3 M# f( p8 O: T- q K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,7 ?2 X, b4 ~8 C( @/ n( R
0, TT}]3 X, J: ^6 M9 ?
Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol], / g2 K- p! }2 s+ a Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0}, 7 R7 G C: C7 |. t/ O8 ~, Y
PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]1 \' l/ u9 @; @. _
Plot[{Evaluate[D*Sa[t] /. Sol], 0 S/ I( Y2 N7 V2 y
Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] + % [+ F/ I0 P$ W: `
gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT}, ; n' N( ^: F$ C
AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8}, $ I) |4 a; G* }4 r
PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}] # i& ~8 n5 E3 d/ [/ M( p, I; w5 n . K& g0 w! H- j# o 6 q5 |0 h0 K# a1 W# r- l' b9 K- i( h, m! p. m. Y y
9 N0 }/ ~% i# q# n5 x9 q5 ?
Set::wrsym: Symbol D is Protected.' q" z ?8 y; o, z: u; w2 b* t
4 f" Z, n8 V- o/ ONDSolve::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.}./ y1 j7 \" Z2 y$ W5 q2 v* [# \$ m
* X8 Z$ S1 b+ b6 I. u
7 P3 \. O, T7 t. j& |1 M( d9 O
; H$ F+ K- r- B z' |# g
" y8 U& D4 Z* I# Z. }/ l