Spreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear term

DOI10.1186/s13661-014-0180-9zbMath1304.35366OpenAlexW2107822954WikidataQ56447782 ScholiaQ56447782MaRDI QIDQ481522

Xuesong Dong, Kevin Sun, Haiquan Qiao, Xian Jiang, Yang-hui Li, Li-Xin Ma

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0180-9

zbMATH Keywords

contraction mapping theoreminvasion ecology

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Ecology (92D40) Free boundary problems for PDEs (35R35)

Cites Work

• Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II
• On the inequality \(\Delta u \geqq f (u)\)
• Uniqueness and existence of positive solutions for degenerate logistic type elliptic equations on \(\mathbb R^N\)
• A Free Boundary Problem Arising in a Model of Wound Healing
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• LOGISTIC TYPE EQUATIONS ON ℝ^N BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
• On solutions of δu=f(u)
• Spatial Ecology via Reaction‐Diffusion Equations
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item