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Dirichlet problem for the Nicholson’s blowflies equation with density-dependent diffusion. (English) Zbl 1448.35311

Summary: This paper is concerned with the time delayed Nicholson’s blowflies equation with degenerate diffusion. We prove the existence and uniqueness of the positive steady state solution under the Dirichlet boundary condition and we show the stability of the nontrivial steady state.

MSC:

35K59 Quasilinear parabolic equations
35K65 Degenerate parabolic equations
35B35 Stability in context of PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
35Q92 PDEs in connection with biology, chemistry and other natural sciences
92D25 Population dynamics (general)
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