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Clear[Am, As, Aa, \[Alpha], \[Rho], \[Theta]m, \[Theta]s, \
% o! D1 L( Z3 j- Q\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s =
9 B) n% o( l, h4 ]0 _. ~ 1 - \[Gamma]a - \[Gamma]m;
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;
1 t+ p6 L, b' m* E1 a5 `% R5 X\[Theta]m = 0.75; \[Theta]s = 0.9;
gRate = 0.02;
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;
ps = Bm/Bs; pa = Bm/Ba;
9 B. z3 T# _" a, O: g3 u8 v( s% b\[Delta] = 0.03;
B = \!\(TraditionalForm\`\*
1 y7 S, e6 w8 p. TFractionBox[
RowBox[{
RowBox[{
) g+ E: O7 m! I, {0 XRowBox[{
StyleBox["(",
* h& |, j4 N) E) n5 |9 S# K. DSpanMinSize->1.,
SpanMaxSize->1.],
6 G, m6 q. o4 a* FRowBox[{"1", "\[Minus]", "\[Alpha]"}],
# O$ h( Y- R9 ]$ ~8 t7 Z+ i7 pStyleBox[")",
SpanMinSize->1.,
SpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
      "\[Alpha]"] \[Minus] \[Delta]\);
  J9 D* \! N# ?/ g! v( C( D% b/ scap = 10;
csp = (pa*cap)/ps;
D = ((1 \[Minus] \[Alpha])*
    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
* {  @0 I. p( `+ p$ L) [. E\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
Print["*** Initial Values ***"]
# M* A  i1 B& U  f' aE0 = 1.5;
, A# [& P; E- A% |. ]K0 = E0/B;
hm0 = 0.25; hs0 = 0.25;(* initial values *)
\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
xm0 = (B*\[Gamma]m^\[Epsilon]*
   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
4 C1 ^7 j: R. u6 M3 Y5 h    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
      hs0^\[Theta]s)^(1 - \[Epsilon]));
xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*
     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
; ?* R/ Y) b: U/ i8 c5 J6 |4 w) r    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
+ N" e# w) |7 o    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
- x; f- ~6 y8 D- p3 C( }7 R      hs0^\[Theta]s)^(1 - \[Epsilon]));
Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0],
", \[Eta]_{s,0}=" <> ToString[\[Eta]s0],
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]
0 n: d! ]5 V% B  QTT = 100;(* end time *)
- I2 L. O, k) S' e(* Solve differential equations *)
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
" N1 O7 L- H0 _/ S; Z# R     xs[t]*(   (1 - xs[t]/
         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) -
         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))),
   xm'[t] == (1 - \[Epsilon])*
1 K7 G" f( N& [; b: Y     xm[t]*(   (1 - xm[t]/
4 J; n1 }8 `* f- w* Y4 r          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) -
/ N1 y- a. I+ Y, }9 r6 Z; l4 k       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
          1) ), \[Eta]m'[
7 X( m) u$ p/ t: X) g; A     t] == \[CurlyPhi]m*
, t, c7 }6 U5 J7 s; ^      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[
     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t],
, _) Z/ H# d1 u+ L% D- S   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t],
   hs[t] == \[Eta]s[t]*K[t],
2 R* A3 ]! l( {% x4 V8 ]0 k0 ~   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
9 U+ D6 t1 E& P; B       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*
6 W+ j! g, u4 N' N& |# |      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*
      cap)/((\[Gamma]a^\[Epsilon]*pa^(
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
: [! f( N8 h  x5 O: N; ?7 |3 g2 q\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
4 f# k( K6 z( L  D7 ~1 @) |; G      xm (t)),
. N6 Y4 E, Q4 G9 v& U   Sm[t] == (\[Gamma]m^\[Epsilon]*
1 Z5 w: c5 t5 t. x) A' V     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
9 p; P/ P8 D2 l2 ~5 p3 W      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
! p+ c* O) S1 w  D7 e        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*
      csp)/((\[Gamma]a^\[Epsilon]*pa^(
' k: N0 m5 I" D         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
" A; k5 P/ }  Y8 C6 I- f\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
      xm (t)), xm[0] == xm0,
   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0,
3 b0 }" K! h4 I" l; k   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
    0, TT}]
8 b* ]& D# }0 mPlot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol],
2 H' o# H" _% C* Y2 n% L  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
/ G& g3 p! Y2 W% ]- L# x6 \8 t PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
6 l% K4 B2 W% s! e8 D+ qPlot[{Evaluate[D*Sa[t] /. Sol],
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8},
2 Q1 ?: D6 w' O7 i  @6 K" V PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
# r5 c, i: L" }, Q

6 |' o4 {: G3 [# l

Set::wrsym: Symbol D is Protected.
# Z% ?' e; E- n# \* C" b
. j8 U! F) n& R" m, l! h- }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.}.
& ]: y5 m: C& F5 ^6 l
2 Q, V# L: e. P' y/ p/ _