Created
December 21, 2017 19:31
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using Plots | |
λ = 1.07 | |
K = 50.0 | |
a = 0.06 | |
n = 1.0 | |
ΔN(Nt,Pt) = λ*Nt*exp((1-Nt/K)-a*Pt) | |
ΔP(Nt,Pt) = n*Nt*(1-exp(-a*Pt)) | |
ΔN(Nt, Pt) | |
ΔP(Nt, Pt) | |
t = 9e2 | |
P = zeros(t) | |
N = zeros(t) | |
N[1] = 25.0 | |
P[1] = 10.0 | |
for i in 2:length(P) | |
j = i-1 | |
N[i] = ΔN(N[j], P[j]) | |
P[i] = ΔP(N[j], P[j]) | |
end | |
p1 = plot(eachindex(N), N, lab="Host", c=:black) | |
plot!(p1, eachindex(P), P, lab="Parasitoid", c=:red) | |
xaxis!(p1, "Time") | |
yaxis!(p1, "Abundances") | |
p2 = plot(N, P, leg=false, c=:grey) | |
scatter!(p2, [N[1]], [P[1]], c=:black) | |
xaxis!(p2, (0, maximum(N)), "Host") | |
yaxis!(p2, (0, maximum(P)), "Parasitoid") | |
plot(p1, p2) |
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