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This paper is concerned with a quaslinear parabolic equation including anonlinear nonlocal initial condition. The problem arises as equilibriumequation in population dynamics with nonlinear diffusion. We make use of globalbifurcation theory to prove existence of an unbounded continuum of positivesolutions.

Global Continua of Positive Equilibria for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition