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Clear[Am, As, Aa, \[Alpha], \[Rho], \[Theta]m, \[Theta]s, \
  d3 r6 i& o( I9 D4 H\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]
6 m1 G8 ]- c, j. Q, {\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s =
9 A% L/ B5 e& h7 `. x/ F' M  H( r2 Y$ x 1 - \[Gamma]a - \[Gamma]m;
\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;
7 Z' d! v* t$ `# \3 c$ |\[Theta]m = 0.75; \[Theta]s = 0.9;
' E* V; u3 S, kgRate = 0.02;
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;
( p7 J) g' ]( Z( yps = Bm/Bs; pa = Bm/Ba;
\[Delta] = 0.03;
; J$ D  x- v5 w7 SB = \!\(TraditionalForm\`\*
FractionBox[
0 V% p9 b4 N6 a3 H3 `0 wRowBox[{
* L8 @" x7 _3 G. f) A( J3 qRowBox[{
/ R% o) }5 y1 O1 D% L. KRowBox[{
% D$ O$ e9 F& x( O) q- ~StyleBox["(",
3 D2 M0 }1 e& {& h/ x+ i/ `8 o) rSpanMinSize->1.,
3 b7 m# Z& z+ N" qSpanMaxSize->1.],
5 F+ `7 E, C1 f9 I+ ?- yRowBox[{"1", "\[Minus]", "\[Alpha]"}],
& Z5 d8 k2 W$ t; MStyleBox[")",
: y, P# d- l9 E; U0 C+ U' SSpanMinSize->1.,
( x3 ^( n, \- ^7 e/ b0 sSpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
      "\[Alpha]"] \[Minus] \[Delta]\);
- z$ C+ ^/ \- {1 v  c7 z9 E2 Wcap = 10;
2 i# i5 ]0 h% i4 s# w$ F1 _csp = (pa*cap)/ps;
D = ((1 \[Minus] \[Alpha])*
    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
  Z, q, x  z; K\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
' w8 k: E7 s1 O1 M1 I1 |/ jPrint["*** Initial Values ***"]
4 ?/ _7 y4 e) X: ]9 x4 W% o% cE0 = 1.5;
K0 = E0/B;
hm0 = 0.25; hs0 = 0.25;(* initial values *)
! y* c4 ^" O8 b) x9 O5 `; N\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
xm0 = (B*\[Gamma]m^\[Epsilon]*
# a9 b% l' J2 w$ u& g( x# [9 |# [) Y   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
. P: F7 f  u/ D/ z) x/ K+ C9 b    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
2 c; m8 c% n+ H3 }9 f6 s    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^(
- H' ~3 L2 ]2 ]+ I0 N" r2 g    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
% y# n- _' @5 k0 `7 b9 _, C; L    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
      hs0^\[Theta]s)^(1 - \[Epsilon]));
Print["\[Eta]_{m,0}=" <> ToString[\[Eta]m0],
0 k+ e2 W0 q9 R$ i" Y ", \[Eta]_{s,0}=" <> ToString[\[Eta]s0],
", x_{m,0}=" <> ToString[xm0], ", x_{s,0}=" <> ToString[xs0]]
; k8 R" I) i  b' RTT = 100;(* end time *)
  b3 K/ C5 N& o, c" T: E8 H! E: \(* Solve differential equations *)
Sol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
' {. m- E4 U. d     xs[t]*(   (1 - xs[t]/
         B)*(\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) - 1) -
0 W: l# e2 i# Y' e         xm[t]/B \[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1))),
   xm'[t] == (1 - \[Epsilon])*
; U! j. U- `/ F* V1 g     xm[t]*(   (1 - xm[t]/
; a0 M# @8 @2 S          B)*\[Theta]m*\[CurlyPhi]m*(xm[t]/\[Eta]m[t] - 1) -
       xs[t]/B*\[Theta]s*\[CurlyPhi]s*(xs[t]/(ps*\[Eta]s[t]) -
          1) ), \[Eta]m'[
( C8 ~, i6 g# O) x! B     t] == \[CurlyPhi]m*
      xm[t] - (\[CurlyPhi]m + gRate)*\[Eta]m[t], \[Eta]s'[
     t] == \[CurlyPhi]s*xs[t]/ps - (\[CurlyPhi]s + gRate)*\[Eta]s[t],
   K'[t] == gRate*K[t], hm[t] == \[Eta]m[t]*K[t],
( s* q. e$ W, d   hs[t] == \[Eta]s[t]*K[t],
   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
+ e3 X8 @' r5 k  h1 q! ~\[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]))*pa*
      cap)/((\[Gamma]a^\[Epsilon]*pa^(
         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
9 H) C, s4 P: x/ F) ]. _& V         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
      xm (t)),
   Sm[t] == (\[Gamma]m^\[Epsilon]*
     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
* f, d0 k2 E- _4 m      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
' |5 L9 o8 R, }" q* l   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
5 [1 A* ]0 s. {; z       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^(
$ p0 O5 P$ _: K- q- E, Q/ V% {5 c         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
; Q# V" Q  ~4 x# ?# @  ~& z! Q         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
7 P1 r: [1 c; j  K\[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,
! T0 j& V3 _! y$ K2 |2 f; Y   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
    0, TT}]
$ `' W3 ^7 f7 k5 M/ e7 K' l" @Plot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol],
' Z& V6 f1 P2 m9 W+ U' t  _, O  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
5 ?0 z& v/ y+ ?2 U6 ]7 \3 ?2 z- X+ P PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
8 J& G8 z1 B" k, U/ pPlot[{Evaluate[D*Sa[t] /. Sol],
  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
# X8 K: r) {) j# e; q' X       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
) T! r4 X+ Q: R. @( @0 ]4 E AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8},
6 z5 t& q$ N3 {& G; G' m- F PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
/ b+ o8 S" v4 j5 X5 X; u4 V



  A' C- x; d8 J$ B+ B- ~Set::wrsym: Symbol D is Protected.
  M2 U$ N! C) @5 b5 L, W
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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