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Clear[Am, As, Aa, \[Alpha], \[Rho], \[Theta]m, \[Theta]s, \
0 r# A8 I4 R: \4 i5 P! a\[CurlyPhi]m, \[CurlyPhi]s, \[Epsilon]]
\[Gamma]a = 0.1; \[Gamma]m = 0.15; \[Gamma]s =
8 e8 M9 t" }/ f 1 - \[Gamma]a - \[Gamma]m;
4 v1 R* f1 j4 ]1 @+ Z) `\[Epsilon] = 0.04; \[Alpha] = 0.3; \[Rho] = 0.04;
# O4 X9 n! `, Y" b! {; u0 ^\[Theta]m = 0.75; \[Theta]s = 0.9;
9 F0 T( ^6 o, d$ H2 v0 RgRate = 0.02;
Am = (gRate + \[Rho])/\[Alpha]; Ba = 4; Bm = 1; Bs = 2.5;
" j" I6 ]9 _& T, rps = Bm/Bs; pa = Bm/Ba;
' B4 l. f9 A6 A  g* I  y, V\[Delta] = 0.03;
) X  q5 F( ?) C3 G2 Q! JB = \!\(TraditionalForm\`\*
) W- f9 a- ^  h, QFractionBox[
( |% C& @" k) ]5 e' |& kRowBox[{
RowBox[{
RowBox[{
; B; L5 z( S6 ~" f! B+ V8 MStyleBox["(",
SpanMinSize->1.,
SpanMaxSize->1.],
+ B( y1 f9 @6 \, J9 A( fRowBox[{"1", "\[Minus]", "\[Alpha]"}],
StyleBox[")",
0 n  E- S4 ~  NSpanMinSize->1.,
1 O( ~! S! Y5 g1 tSpanMaxSize->1.]}], "gRate"}], "+", "\[Rho]"}],
      "\[Alpha]"] \[Minus] \[Delta]\);
1 [, ^4 H1 l: N0 T. q: s9 }cap = 10;
" r+ [; ?$ \1 rcsp = (pa*cap)/ps;
. G5 H* O- |$ O" E5 o' QD = ((1 \[Minus] \[Alpha])*
! M5 r$ ]8 D, g# z" ^  e) u    gRate + \[Rho] - \[Alpha]*\[Delta])/(\[Rho] + gRate);
\[CurlyPhi]m = 0.1; \[CurlyPhi]s = 0.1;
Print["*** Initial Values ***"]
E0 = 1.5;
( l; F8 Z- u8 }# B; u( xK0 = E0/B;
hm0 = 0.25; hs0 = 0.25;(* initial values *)
; Y& t$ o+ C# `6 N\[Eta]m0 = hm0/K0; \[Eta]s0 = hs0/K0;
4 _' k' W2 H. {6 R5 {xm0 = (B*\[Gamma]m^\[Epsilon]*
* c. M8 [2 j1 s( L$ W# a   hm0^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
9 n5 |9 K/ b8 v/ q! L  k( G    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
% t1 u2 B% G: p5 d# Z    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
+ K: H( \# W: `7 ^3 O1 q      hs0^\[Theta]s)^(1 - \[Epsilon]));
xs0 = (B*\[Gamma]s^\[Epsilon]*(ps*
; x2 E- m5 w, d. t0 G     hs0^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
: J9 r, B% B8 J2 ?. v    1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
( V( q3 b$ v3 T. B    hm0^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
      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]]
. z7 ?0 E  L/ m+ w3 `TT = 100;(* end time *)
) G1 X/ G% N% S8 _4 i4 r(* Solve differential equations *)
1 @, k* T3 F% ~9 h7 o: U' nSol = NDSolve[{xs'[t] = (1 - \[Epsilon])*
     xs[t]*(   (1 - xs[t]/
: q) m# w5 p( [' A( U! I         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])*
0 ~3 R# w+ K* o9 S) u     xm[t]*(   (1 - xm[t]/
* s: |/ D2 u# l2 f          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'[
+ O: T5 V+ J4 v8 M* `) F     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],
' j* T* e% b) ]& i5 K! G# I9 ]% y   hs[t] == \[Eta]s[t]*K[t],
   Sa[t] == (\[Gamma]a^\[Epsilon]*(pa)^(1 - \[Epsilon]))/(\[Gamma]a^\
+ @6 J9 L2 D7 t4 v$ V* |6 P! Q\[Epsilon]*pa^(1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
$ G2 t2 r# l+ C3 A9 A. t         hs[t]^\[Theta]s)^(1 - \[Epsilon])) + (\[Gamma]m^\[Epsilon]*
      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*pa*
      cap)/((\[Gamma]a^\[Epsilon]*pa^(
3 Y8 m1 O" P1 P2 p) t( _; r         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
1 _1 O  N5 O9 j% j0 X' p* o- S4 M         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
; ^* T# I* H8 ]* U! v! d: q\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
      xm (t)),
   Sm[t] == (\[Gamma]m^\[Epsilon]*
; t8 Y  l: w" G3 h     hm[t]^(\[Theta]m*(1 - \[Epsilon])))/(\[Gamma]a^\[Epsilon]*pa^(
6 K0 T8 A# b3 p, S      1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
( C- C$ |3 t) f' m5 S1 U      hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
) h7 h  i3 ^6 i* t1 i' H8 Y        hs[t]^\[Theta]s)^(1 - \[Epsilon])),
4 |  Z6 ^3 s8 S+ z- ?' G   Ss[t] == (\[Gamma]s^\[Epsilon]*(ps*
        hs[t]^\[Theta]s)^(1 - \[Epsilon]))/(\[Gamma]a^\[Epsilon]*pa^(
+ Y: y% U& D& ~3 ]3 s( ~- [4 t+ Q       1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
       hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \[Gamma]s^\[Epsilon]*(ps*
         hs[t]^\[Theta]s)^(1 - \[Epsilon])) - (\[Gamma]m^\[Epsilon]*
1 `0 s% m  h& [% i5 H2 C      hm[t]^(\[Theta]m*(1 - \[Epsilon]))*ps*
6 A2 `$ ?+ x2 r% T      csp)/((\[Gamma]a^\[Epsilon]*pa^(
$ l# H5 b) w; I4 `. s         1 - \[Epsilon]) + \[Gamma]m^\[Epsilon]*
" X! r( E& a7 P$ V9 M! k0 p- H         hm[t]^(\[Theta]m*(1 - \[Epsilon])) + \
\[Gamma]s^\[Epsilon]*(ps*hs[t]^\[Theta]s)^(1 - \[Epsilon]))*k (t)*
( Y9 p- w5 u+ d7 F9 K      xm (t)), xm[0] == xm0,
; z* t  z' J$ x   xs[0] == xs0, \[Eta]m[0] == \[Eta]m0, \[Eta]s[0] == \[Eta]s0,
0 B2 p5 e$ m8 V, C5 l* y$ t8 J   K[0] == K0}, {xm, xs, \[Eta]m, \[Eta]s, K, hm, hs, Sa, Sm, Ss}, {t,
2 i2 A1 M) _5 \    0, TT}]
  E0 y9 u9 L5 N4 `! MPlot[{Evaluate[Sa[t] /. Sol], Evaluate[Sm[t] /. Sol],
" ?0 A  P* x7 F" {( W  L# \& w1 o& D  Evaluate[Ss[t] /. Sol]}, {t, 0, TT}, AxesOrigin -> {0, 0},
PlotRange -> {0., 0.8}, PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]
Plot[{Evaluate[D*Sa[t] /. Sol],
1 F: l3 ]3 w& w  Evaluate[(D*Sm[t] + (\[Alpha]*(gRate + \[Delta]))/(\[Rho] +
. _+ `5 N# b- B- S' O. T       gRate)) /. Sol], Evaluate[D*Ss[t] /. Sol]}, {t, 0, TT},
1 W) k' w, v1 _) J$ a1 t AxesOrigin -> {0, 0}, PlotRange -> {0., 0.8},
" D0 `# B2 @$ V$ t# E. B8 | PlotStyle -> {Blue, Dashed, Dashing[{0.05}]}]


* `7 @9 V6 @6 m* |2 U

% J( c$ r$ s) x8 X! Z7 {1 ^Set::wrsym: Symbol D is Protected.
* S0 M, }" U0 |
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.}.