Diffusive logistic equation with constant yield harvesting, I: Steady States

Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham

doi:10.1090/S0002-9947-02-03005-2

Diffusive logistic equation with constant yield harvesting, I: Steady States
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by Shobha Oruganti, Junping Shi and Ratnasingham Shivaji PDF

Trans. Amer. Math. Soc. 354 (2002), 3601-3619 Request permission

Abstract:

We consider a reaction-diffusion equation which models the constant yield harvesting to a spatially heterogeneous population which satisfies a logistic growth. We prove the existence, uniqueness and stability of the maximal steady state solutions under certain conditions, and we also classify all steady state solutions under more restricted conditions. Exact global bifurcation diagrams are obtained in the latter case. Our method is a combination of comparison arguments and bifurcation theory.

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