Global dynamics of generalized logistic equations

DOI10.1515/ans-2018-0008zbMath1392.35109OpenAlexW2796790042MaRDI QIDQ1747855

Daniel Daners, Julián López-Gómez

Publication date: 27 April 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2018-0008

zbMATH Keywords

boundary conditionsparabolic logistic population modelsecond-order uniformly strongly elliptic operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) Semilinear elliptic equations (35J61)

Related Items (21)

Population Dynamics in Hostile Neighborhoods ⋮ Multiplicity of nodal solutions in classical non-degenerate logistic equations ⋮ Influence of the Spatial Heterogeneities in the existence of positive solutions of Logistic BVPs with sublinear mixed boundary conditions ⋮ Sharp patterns of positive solutions for some weighted semilinear elliptic problems ⋮ Unnamed Item ⋮ Protection zones in periodic-parabolic problems ⋮ Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity ⋮ Degeneracies versus reactions for some nonlocal dispersal equations ⋮ Fine patterns for a nonlocal periodic-parabolic equation with spatial degeneracy ⋮ Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations ⋮ Asymptotic profiles for positive solutions of diffusive logistic equations ⋮ A robust multiplicity result in a generalized diffusive predator-prey model ⋮ Solution components in a degenerate weighted BVP ⋮ Sharp blow-up profiles of positive solutions for a class of semilinear elliptic problems ⋮ A spatially heterogeneous predator-prey model ⋮ Asymptotic profiles in diffusive logistic equations ⋮ Heterogeneous elliptic BVPs with a bifurcation-continuation parameter in the nonlinear mixed boundary conditions ⋮ Global structure of the periodic positive solutions for a general class of periodic-parabolic logistic equations with indefinite weights ⋮ Bifurcation diagrams of one-dimensional Kirchhoff-type equations ⋮ Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions ⋮ Semilinear elliptic equations on rough domains

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