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t),t) - mybeta(t)* S(t)*Y(t)+mygamma*Y(t)+mu*Y(t)=0: solSIR := dsolve(
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 }}{TEXT 208 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 417 "for i \+
from 36 to 50 do beta1:= step*i; eqSIR := diff(S(t),t) + mu*(S(t)-N) +
 mybeta(t)* S(t)*Y(t) = 0, diff(Y(t),t) - mybeta(t)* S(t)*Y(t)+mygamma
*Y(t)+mu*Y(t)=0: solSIR := dsolve(\{eqSIR,ini\},\{S(t),Y(t)\},type = n
umeric): pts:=\{\}: for j from 100 to 108 do pts := pts union \{subs(s
olSIR(j),Y(t))\}: od: punti:= [ seq([beta1,pts[k]],k=1..nops(pts)) ]: \+
disegni[i]:= plot( punti, style=point, color=red,symbolsize=10 ): od:"
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ma*Y(t)+mu*Y(t)=0: solSIR := dsolve(\{eqSIR,ini\},\{S(t),Y(t)\},type =
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olSIR(j),Y(t))\}: od: punti:= [ seq([beta1,pts[k]],k=1..nops(pts)) ]: \+
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\"t6\"Q\"Y6\"-%%FONTG6%%!G%!G\"#5%+HORIZONTALG%+HORIZONTALG-%&COLORG6&
%$RGBG$\"\"!!\"\"$\"\"!!\"\"$\"#5!\"\"-%*AXESSTYLEG6#%'NORMALG-%(SCALI
NGG6#%.UNCONSTRAINEDG" 1 2 2 1 10 1 2 6 0 4 2 1.0 45.0 45.0 0 0 "Curve
 1" }}{TEXT 208 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118 "mu:
=0.01; mygamma:=50; Tapprox := 2*Pi/sqrt(mu*(beta0*N-(mu+mygamma)-mu/4
*(beta0*N/(mu+mygamma))^2)) : evalf(Tapprox);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 437 "n:=35: step := 0.002: for i from 0 to n do beta
1:= step*i; eqSIR := diff(S(t),t) + mu*(S(t)-N) + mybeta(t)* S(t)*Y(t)
 = 0, diff(Y(t),t) - mybeta(t)* S(t)*Y(t)+mygamma*Y(t)+mu*Y(t)=0: solS
IR := dsolve(\{eqSIR,ini\},\{S(t),Y(t)\},type = numeric): pts:=\{\}: f
or j from 100 to 108 do pts := pts union \{subs(solSIR(j),Y(t))\}: od:
 punti:= [ seq([beta1,pts[k]],k=1..nops(pts)) ]: disegni[i]:= plot( pu
nti, style=point, color=red,symbolsize=10 ): od:" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 69 "display([ seq( disegni[i], i=0..35 ) ],style=
point, symbol=diamond );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
418 " for i from 36 to 55 do beta1:= step*i; eqSIR := diff(S(t),t) + m
u*(S(t)-N) + mybeta(t)* S(t)*Y(t) = 0, diff(Y(t),t) - mybeta(t)* S(t)*
Y(t)+mygamma*Y(t)+mu*Y(t)=0: solSIR := dsolve(\{eqSIR,ini\},\{S(t),Y(t
)\},type = numeric): pts:=\{\}: for j from 100 to 108 do pts := pts un
ion \{subs(solSIR(j),Y(t))\}: od: punti:= [ seq([beta1,pts[k]],k=1..no
ps(pts)) ]: disegni[i]:= plot( punti, style=point, color=red,symbolsiz
e=10 ): od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "display([ se
q( disegni[i], i=0..55 ) ],style=point, symbol=diamond );" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 415 "for i from 56 to 75 do beta1:= ste
p*i; eqSIR := diff(S(t),t) + mu*(S(t)-N) + mybeta(t)* S(t)*Y(t) = 0, d
iff(Y(t),t) - mybeta(t)* S(t)*Y(t)+mygamma*Y(t)+mu*Y(t)=0: solSIR := d
solve(\{eqSIR,ini\},\{S(t),Y(t)\},type = numeric): pts:=\{\}: for j fr
om 80 to 88 do pts := pts union \{subs(solSIR(j),Y(t))\}: od: punti:= \+
[ seq([beta1,pts[k]],k=1..nops(pts)) ]: disegni[i]:= plot( punti, styl
e=point, color=red,symbolsize=10 ): od:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 69 "display([ seq( disegni[i], i=0..75 ) ],style=point, s
ymbol=diamond );" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 415 "for i from 76 to 95 do beta1:= ste
p*i; eqSIR := diff(S(t),t) + mu*(S(t)-N) + mybeta(t)* S(t)*Y(t) = 0, d
iff(Y(t),t) - mybeta(t)* S(t)*Y(t)+mygamma*Y(t)+mu*Y(t)=0: solSIR := d
solve(\{eqSIR,ini\},\{S(t),Y(t)\},type = numeric): pts:=\{\}: for j fr
om 50 to 58 do pts := pts union \{subs(solSIR(j),Y(t))\}: od: punti:= \+
[ seq([beta1,pts[k]],k=1..nops(pts)) ]: disegni[i]:= plot( punti, styl
e=point, color=red,symbolsize=10 ): od:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 69 "display([ seq( disegni[i], i=0..90 ) ],style=point, s
ymbol=diamond );" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}
{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2
 33 1 1 }