Global Bifurcation of Positive Equilibria in Nonlinear Population Models

نویسنده

  • CHRISTOPH WALKER
چکیده

Existence of nontrivial nonnegative equilibrium solutions for age structured population models with nonlinear diffusion is investigated. Introducing a parameter measuring the intensity of the fertility, global bifurcation is shown of a branch of positive equilibrium solutions emanating from the trivial equilibrium. Moreover, for the parameter-independent model we establish existence of positive equilibria by means of a fixed point theorem for conical shells.

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تاریخ انتشار 2009