If I'm assuming that I have a population of size $N(t)$ that is growing, can my steady states be fractions? I'm quite confused because how can a population be a fraction? Note that the differential equation is given by $\frac{dN}{dt}=H(N)$. Where $H(N)$ is a function of $N$ and the steady states are the values of $N$ such that $H(N)=0$.
2026-03-25 01:16:54.1774401414
Steady States and fractional Population
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Without knowing the details of what exactly $H(N)$ is it's hard to say whether you are getting fractions from some computational error or whether the steady states really are at fractional values of $N$. That being said, since differential equation population models are a continuous approximation to a discrete situation, there is the certainly the possibility that the model will predict fractional steady states. You should treat those results as approximations, not as indicating a fractional number of individuals.