@model def main() { @mu = []'p; @mu(p) += [[]'0]'{k},{k} : 101<= k <= 118; @mu(0,{k}) += []'{m}: 1<=m<=39, 101<= k <= 118; @ms({0},{k+100}) += X{s}*(q{k}) : 2<= s <= 6, 1<= k<= 18; @ms({0},{k+100}) += Q{13}*(q{k}), Q{39}*(q{k}) : 1<= k<= 18; @ms({36+m}) += alpha : 1<=m<=3; @ms({k+100}) += T{0},I1 : 1<=k<=18; /*** ***/ /*re1*/ [I1]'{k+100} --> [I*LE{k,1},Ip]'{k+100} :: 1: 1<=k<=18; /*re2*/ [I2]'{k+100} --> [I*LE{k,2}]'{k+100} :: 1: 1<=k<=18; /*r1*/ I[]'0 --> [I]'0 :: 1; /*r2*/ Ip[]'0 --> [Ip]'0 :: 1; /*** ***/ /*** ***/ /*re3*/ [T{d}]'{k+100} --> [gamma{d+1},T{d+1}]'{k+100} :: p{d+1,k} : 0<= d <=34,1<=k<=18,d<>19 ; /*re4*/ [T{d}]'{k+100} --> [T{d+1}]'{k+100} :: 1-p{d+1,k} : 0<= d <=34, 1<=k<=18,d<>19; /*r3*/ gamma{m}[]'0 --> [gamma{m}]'0 :: 1 : 1<=m<=36; /*r4*/ gamma{m}[]'{m} --> -[gamma]'{m} :: 1 : 1<=m<=36; /*r5*/ -[gamma]'{m} --> []'{m} :: 1 : 1<=m<=36; /*** ***/ /*** ***/ /*r6*/ I -[]'{m} --> [I]'{m} :: 1 : 1<=m<=36; /*r7*/ X{1} -[]'{m} --> [#]'{m} :: 1 : 1<=m<=36; /*r8*/ X{s} -[]'{m} --> VR[X{s}]'{m} :: 1 : 2<=s<=6,1<=m<=36; /*r9*/ Q{d} -[]'{m} --> VR[Q{d+m}]'{m} :: 1 : 20-m<=d<=52-m, 1<=m<=20; /*r10*/ Q{d} -[]'{m} --> VR[Q{d+m-20}]'{m} :: 1 : 20-m+20<=d<=52-m+20, 21<=m<=36; /*r11*/ Q{d} -[]'{m} --> VR[X{1}]'{m} :: 1 : 53-m<=d<=72-m, 1<=m<=20; /*r12*/ Q{d} -[]'{m} --> VR[X{1}]'{m} :: 1 : 53-m+20<=d<=72-m+20, 21<=m<=36; /*** ***/ /*** ***/ /*r13*/ [I]'{m}-->O{m} []'{m}:: 1 : 1<=m<=36; /*r14*/[Q{d}]'{m} --> Qp{d,m},O{m}*(g{1}*(12.15*d*d+117.81*d-3392))[]'{m} :: 0.5 : 20<= d <= 52, 1<= m <= 20; /*r15*/[Q{d}]'{m} --> Qp{d,m}[]'{m} :: 0.5 : 20<= d =< 52, 1<= m <= 20; /*r16*/[Q{d}]'{m} --> Qp{d,m},O{m}*((12.15*d*d+117.81*d-3392)*(1-g{1}))[]'{m} :: 0.5 : 20<= d<= 52, 21<= m <= 36; /*r17*/[Q{d}]'{m} --> Qp{d,m}[]'{m} :: 0.5 : 20<= d <= 52, 21<= m <= 36; /*r18*/ [X{s}]'{m} --> Y{s},O{m}*((1920.5*(52/4+52/2*s)-79065)*g{1}) []'{m} :: 0.5 : 2<=s<=6, 1<=m<=20; /*r19*/ [X{s}]'{m} --> Y{s},O{m}*((1920.5*(52/4+52/2*s)-79065)*(1-g{1})) []'{m} :: 0.5 : 2<=s<=6, 21<=m<=36; /*r20*/ [X{s}]'{m} --> Y{s} []'{m} :: 0.5 : 2<=s<=6, 1<=m<=36; /*r21*/ [X{1}]'{m} --> Y{1},O{m}*((1920.5*(52)-79065)*g{1}) []'{m} :: 0.5 : 1<=m<=20; /*r22*/ [X{1}]'{m} --> Y{1},O{m}*((1920.5*(52)-79065)*(1-g{1})) []'{m} :: 0.5 : 21<=m<=36; /*r23*/ [X{1}]'{m} --> Y{1} []'{m} :: 0.5 : 1<=m<=36; /*r24*/ [Y{s} --> #]'0 :: m{s} : 1<=s<=6; /*r25*/ [Y{s}]'0 -->V{s}[]'0 :: 1-m{s} : 1<=s<=6; /*** ***/ /**** ***/ /*re5*/ [[V{s}]'{k+100} []'{r+100}]'p -->[[]'{k+100} [Vp{s}]'{r+100}]'p:: PA{k,r}: 1<=s<=6, 1<=k<=18, 1 <=r<=18,k<>r; /*re6*/ [[V{s}]'{k+100} ]'p -->[ [Vp{s}]'{k+100}]'p:: PA{k,k}: 1<=s<=6, 1<=k<=18; /*r26*/ Vp{s}[]'0 --> [V{s}]'0 :: 1: 1<=s<=6; /**** ***/ /*** ***/ /*r27*/ [O{m} --> #]'{0} ::g{2}:1<=m<=36; /*** ***/ /*r28*/ [O{m} --> L1{m}]'{0} ::(1-g{2})*(1-mo{1}):1<=m<=20; /*r29*/ [O{m} --> #]'{0} ::(1-g{2})*mo{1}:1<=m<=20; /*r30*/ [O{m} --> L1{m}]'{0} ::(1-g{2})*(1-mo{2}):21<=m<=36; /*r31*/ [O{m} --> #]'{0} ::(1-g{2})*mo{2}:21<=m<=36; /*** ***/ /*r32*/ [L1{m} --> L2{m}]'0:: (1-g{3}): 1<=m<=36; /*r33*/ [L1{m} --> #]'0:: g{3} : 1<=m<=36; /*** ***/ /*r34*/ [L2{m}]'0 --> L3{m+j-1}[]'0:: PI{j,1}: 1<=m<=20, 1<=j<=11; /*r35*/ [L2{m}]'0 --> L3{m+j-1}[]'0:: PI{j,2}: 21<=m<=36, 1<=j<=3; /*** ***/ /* This 39 comes from the (36 +3) weeks lasting the reproduction in the second cycle. */ /*re7*/ [L3{m} --> L{m,0,k,k+7}]'{k+100}:: 0.2*CV{m}: 1<=m<=39, 1<=k<=7; /*re8*/ [L3{m} --> L{m,0,k,k}]'{k+100} :: 1-0.2*CV{m}: 1<=m<=39, 1<=k<=7; /*re9*/ [L3{m} --> L{m,0,k,k-7}]'{k+100}:: 0.001: 1<=m<=39, 8<=k<=14; /*re10*/ [L3{m} --> L{m,0,k,k}]'{k+100} :: 1-0.001: 1<=m<=39, 8<=k<=14; /*re11*/ [L3{m} --> L{m,0,k,k-2}]'{k+100}:: 0.001: 1<=m<=39, 17<=k<=18; /*re12*/ [L3{m} --> L{m,0,k,k}]'{k+100} :: 1-0.001: 1<=m<=39, 17<=k<=18; /*** ***/ /*** ***/ /*** ***/ /*re13*/ [L{m,i,k,s}--> L{m+1,i+1,k,r}]'{k+100} :: PR{m,s,r} : 1<=m<=42, 0<=i<=3, 1<=k<=18,1<=s<=7,1<=r<=7; /*re14*/ [L{m,i,k,s}--> #]'{k+100} :: PR{m,s,8} : 1<=m<=42, 0<=i<=3, 1<=k<=18,1<=s<=7; /*** ***/ /*re15*/ [L{m,i,k,s}--> L{m+1,i+1,k,r}]'{k+100} :: PR{m,s,r} : 1<=m<=42, 0<=i<=3, 1<=k<=18,8<=s<=14, 8<=r<=14; /*re16*/ [L{m,i,k,s}--> #]'{k+100} :: PR{m,s,15} : 1<=m<=42, 0<=i<=3, 1<=k<=18,8<=s<=14; /*** ***/ /*re17*/ [L{m,i,15,15}--> L{m+1,i+1,15,15}]'{115} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re18*/ [L{m,i,15,15}--> L{m+1,i+1,15,1}]'{115} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re19*/ [L{m,i,17,17}--> L{m+1,i+1,17,17}]'{117} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re20*/ [L{m,i,17,17}--> L{m+1,i+1,17,8}]'{117} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re21*/ [L{m,i,17,15}--> L{m+1,i+1,17,15}]'{117} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re22*/ [L{m,i,17,15}--> L{m+1,i+1,17,1}]'{117} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re23*/ [L{m,i,16,16}--> L{m+1,i+1,16,16}]'{116} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re24*/ [L{m,i,16,16}--> L{m+1,i+1,16,6}]'{116} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re25*/ [L{m,i,18,18}--> L{m+1,i+1,18,18}]'{118} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re26*/ [L{m,i,18,18}--> L{m+1,i+1,18,13}]'{118} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re27*/ [L{m,i,18,16}--> L{m+1,i+1,18,16}]'{118} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re28*/ [L{m,i,18,16}--> L{m+1,i+1,18,6}]'{118} :: 0.5 : 1<=m<=42, 0<=i<=3; /*re29*/ [[L{m,4,k,r}]'{k+100}[]'{r+100}]'p-->[[]'{k+100}[Lp{m}]'{r+100}]'p::1: 5<=m<=43, 1<=k<=18, 1<=r<=18, r<>k; /*re30*/ [L{m,4,k,k}-->Lp{m}]'{k+100}::1: 5<=m<=43, 1<=k<=18; /*r36*/ Lp{m} []'0-->[Qp{0,m-1}]'0::1: 5<=m<=43; /*** ***/ /*** ***/ /*re31*/ [T{19}]'{k+100} --> [gamma{20},ro{1},ro{0}]'{k+100} :: p{20,k} : 1<=k<=18; /*re32*/ [T{19}]'{k+100} --> [delta{20},ro{1},ro{0}]'{k+100} :: 1-p{20,k} : 1<=k<=18; /*re33*/ [T{35}]'{k+100} --> [delta{36},ro{2},omega{0}]'{k+100} :: 1 : 1<=k<=18; /*** ***/ /*** ***/ /*r37*/ delta{20}[]'0-->[delta{20}]'0::1; /*r38*/ delta{20}[]'20-->+[delta]'20::1; /*r39*/ +[delta]'20-->[]'20::1; /*r40*/ X{s}+[]'20-->VR[Xp{s}]'20::1: 2<=s<=6; /*r41*/ X{1}+[]'20-->[#]'20::1; /*r42*/ Q{d}+[]'20-->VR[Qpp{d+20}]'20::1: 1<=d<=32; /*r43*/ Q{d}+[]'20-->VR[Xp{1}]'20::1: 33<=d<=52; /*r44*/ [Xp{s}]'20--> Y{s}[]'20::1: 1<=s<=6; /*r45*/ [Qpp{d}]'20--> Qp{d,20}[]'20::1: 20<=d<=52; /*** ***/ /*r46*/ delta{36}[]'0-->[delta{36}]'0::1; /*r47*/ delta{36}[]'36-->+[delta]'36::1; /*r48*/ +[delta]'36-->[]'36::1; /*r49*/ X{s}+[]'36-->VR[Xp{s}]'36::1: 2<=s<=6; /*r50*/ X{1}+[]'36-->[#]'36::1; /*r51*/ Q{d}+[]'36-->[Qpp{d+16}]'36::1: 1<=d<=36; /*r52*/ Q{d}+[]'36-->VR[Xp{1}]'36::1: 37<=d<=52; /*r53*/ [Xp{s}]'36--> Y{s}[]'36::1: 1<=s<=6; /*r54*/ [Qpp{d}]'36--> Qp{d,36}[]'36::1: 16<=d<=52; /*** ***/ /* Rules related with ro and omega */ /*r55*/ ro{0}[]'0-->[ro{0}]'0::1; /*r56*/ ro{0}[]'37-->[ro{0}]'37::1; /*r57*/ [ro{i}-->ro{i+1}]'37::1: 0<=i<=10; /*r58*/ [ro{11}]'37-->-[ro]'37::1; /*r59*/ omega{0}[]'0-->[omega{0}]'0::1; /*r60*/ omega{0}[]'38-->[omega{0}]'38::1; /*r61*/ [omega{i}-->omega{i+1}]'38::1: 0<=i<=14; /*r62*/ [omega{15}]'38-->-[ro]'38::1; /*** ***/ /*re34*/ [ro{i}]'{j+100} --> [A{i}*Fi{j},AR*2500]'{j+100}::1: 1<=i<=2,1<=j<=18; /*r63*/ A{i}[]'0 --> [A{i}]'0::1: 1<=i<=2; /*r64*/ A{i}[]'{36+i} --> [A]'{36+i}::1: 1<=i<=2 ; /*r65*/ AR[]'0 --> [AR{1}]'0::1; /*r66*/ [AR{i}]'0 --> [AR{i+1}]'0::1:1<=i<=4; /*r67*/ AR{5}[]'39 --> +[AR]'39::1; /*r68*/ +[alpha]'39 --> +[alpha{1},DP{0}]'39::1; /*r69*/ VR+[]'39 --> +[VR]'39::1; /*r70*/ +[alpha{1}]'39 --> -[alpha{1}]'39::1; /*r71*/ +[AR, VR]'39 --> -[]'39::1; /*r72*/ -[alpha{i} --> alpha{i+1}]'39::1: 1<=i<=6; /*r73*/ -[AR*125 --> DP{1}]'39::1; /*r74*/ -[DP{i},DP{k} --> DP{i+k}]'39::1:0<=i<=20,1<=k<=9; /*r75*/ -[alpha{7}]'39 --> [beta{1}]'39::1; /*r76*/ [AR]'39 --> []'39::1; /*r77*/ [VR]'39 --> []'39::1; /*r78*/ [DP{i}]'39 --> DP{i}*(1250*250000)[]'39::1: 0<=i<=20; /*r79*/ [beta{i} --> beta{i+1}]'39::1: 1<=i<=7; /*r80*/ [beta{8}]'39 --> -[beta{9}]'39::1; /*r81*/ -[beta{9}]'39 --> [alpha]'39::1; /*** ***/ /*r82*/ -[ro]'{k}-->[lambda]'{k}::1: 37<=k<=38; /*r83*/ -[alpha]'{k} -->[beta{0}]'{k}::1: 37<=k<=38; /*r84*/ V{s} -[]'{k} --> [V{s}]'{k}::1: 1<=s<=6, 37<=k<=38; /*r85*/ Qp{d,m} -[]'37 -->[Q{20-m+d}]'37::1: -20+m<=d<=52-20+m,1<=m<=20; /*r86*/ Qp{d,m} -[]'37 -->[V{1}]'37::1: 53-20+m<=d<=71-20+m,1<=m<=20; /*r87*/ Qp{d,m}-[]'38 -->[Q{52-m+d}]'38::1: 0<=d<=m, 21<=m<=40; /*r88*/ Qp{d,m} -[]'38 -->[V{1}]'38::1: 1+m<=d<=83-52+m, 21<=m<=40; /*** ***/ /*r89*/ [V{s}, A]'{k} -->X{s+1} +[]'{k}:: 0.5*0.2*(s+1) : 2<=s<=5,37<=k<=38; /*r90*/ [V{s}, A]'{k} --> +[V{s},A]'{k}:: 1-0.5*0.2*(s+1) : 2<=s<=5,37<=k<=38; /*r91*/ +[A]'{k}--> [A{0}]'{k}::1: 37<=k<=38; /*r92*/ +[A{s}]'{k} -->[A{s+1}]'{k}::1:0<=s<=4,37<=k<=38; /*r93*/ [beta{0}]'{k} -->+[beta{1}]'{k}::1: 37<=k<=38; /*r94*/ +[beta{1}]'{k} -->[beta{1}]'{k}::1: 37<=k<=38; /*r95*/ [beta{i}]'{k} -->+[alpha{i+1}]'{k}::1: 1<=i<=6,37<=k<=38; /*r96*/ +[alpha{i}]'{k} -->[beta{i}]'{k}::1: 2<=i<=6,37<=k<=38; /*r97*/ +[alpha{7}]'{k} -->-[]'{k}::1:37<=k<=38; /*r98*/ [Q{d}, A{0}]'37 -->QQ{d,37}+[]'37 :: 1:1<=d<=52; /*r98*/ [Q{d}, A{0}]'38 -->QQ{d,38}+[]'38 :: 1: 1<=d<= 52; /*r99*/ [V{1},A{1}]'{k}--> XX{2,k} +[]'{k}::1:37<=k<=38; /*r100*/ [V{s},A{s}]'{k}--> X{s+1} +[]'{k}::1:2<=s<=5,37<=k<=38; /*r101*/ QQ{d,k}, DP{i} +[]'{k} -->Q{d},X{1}[]'{k} :: 0.1*i-1: 1<=d<=52, 10<=i<=20,37<=k<=38; /*r102*/ QQ{d,k}, DP{i} +[]'{k}--> [A{1}]'{k} :: 1-(0.1*i-1): 1<=d<=52,10<=i<=20,37<=k<=38; /*r103*/ XX{2,k}, DP{i} +[]'{k}-->X{2}[]'{k} :: 0.1*i-1: 10<=i<=20,37<=k<=38; /*r104*/ XX{2,k}, DP{i} +[]'{k} --> [A{2}]'{k} :: 1-(0.1*i-1): 10<=i<=20,37<=k<=38; /*r105*/ QQ{d,k}, DP{i} +[]'{k}--> [A{1}]'{k} :: 1: 1<=d<=52, 0<=i<=9,37<=k<=38; /*r106*/ XX{2,k}, DP{i} +[]'{k} --> [A{2}]'{k} :: 1: 0<=i<=9,37<=k<=38; /*r107*/ -[lambda]'37 -->T{20},Tp{20}[alpha]'37::1; /*r108*/ -[lambda]'38 -->T{0}[alpha]'38::1; /*r109*/ [Tp{20},Ip]'0--> I2[]'0::1; /*r110*/ [T{20}]'0-->T{20}[]'0::1; /*r111*/ [T{0}]'0-->T{0}[]'0::1; /*r112*/ Tp{20}+[]'36--> []'36::1; /***********Update**********/ /*r113*/ -[V{s}]'{k} -->D[]'{k}::1: 2<=s<=6,37<=k<=38; /*r114*/ -[Q{d}]'{k} -->D []'{k}::1:1<=d<=87,37<=k<=38; /*r115*/ -[A{5}]'{k}-->[]'{k}::1:37<=k<=38; /*r116*/ DP{i}-[]'39-->[]'39::1: 0<=i<=20; }