It was recently shown that the nonlinear logistic type ODE with periodic harvesting has a bifurcation on the periodic solutions with respect to the parameter ε:
u\u27 = f (u) - ε h (t).
Namely, there exists an ε0 such that for 0 \u3c ε \u3c ε0 there are two periodic solutions, for ε = ε0 there is one periodic solution, and for ε \u3eε0 there are no periodic solutions, provided that....
In this paper we look at some numerical evidence regarding the behavior of this threshold for various types of harvesting terms, in particular we find evidence in the negative or a conjecture regarding the behavior of this threshold value.
Additionally, we look at analagous steady states for the reaction-diusion IBVP with logistic growth and positive harvesting: Using phase plane arguments we show that there is a threshold value of such that this BVP has no positive solutions
