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- W385724772 abstract "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 : u′ = f(u)− h(t). Namely, there exists an 0 such that for 0 0 there are no periodic solutions, provided that ∫ T 0 h(t)dt > 0. 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 for a conjecture regarding the behavior of this threshold value. Additionally, we look at analagous steady states for the reaction-diffusion IBVP with logistic growth and positive harvesting: −u′′ = f(u)− h(u), u(0) = u(L) = 0. Using phase plane arguments we show that there is a threshold value of such that this BVP has no positive solutions." @default.
- W385724772 created "2016-06-24" @default.
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- W385724772 date "2012-01-01" @default.
- W385724772 modified "2023-09-26" @default.
- W385724772 title "Periodic Solutions and Positive Solutions of First and Second Order Logistic Type ODEs with Harvesting" @default.
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- W385724772 doi "https://doi.org/10.34917/4332587" @default.
- W385724772 hasPublicationYear "2012" @default.
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