A degenerate and strongly coupled quasilinear parabolic system with crosswise diffusion for a mutualistic model

DOI10.1016/j.nonrwa.2009.12.002zbMath1201.35111OpenAlexW2024352099WikidataQ111264995 ScholiaQ111264995MaRDI QIDQ708495

Yuzhu Han, Wen-jie Gao

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.12.002

zbMATH Keywords

positive solutionsglobal existenceglobal nonexistenceintra-specific competitionsinter-specific cooperationooperating model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Global and blowup solutions for general Lotka-Volterra systems ⋮ Convergence to steady state for a degenerate parabolic system of relevance to marine ecology ⋮ Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• A degenerate parabolic system with self-diffusion for a mutualistic model in ecology
• Global existence and nonexistence for some degenerate and quasilinear parabolic systems
• Blow-up of solutions of nonlinear degenerate parabolic equations
• Diffusion-induced blowup in a nonlinear parabolic system
• An example of blowup produced by equal diffusions
• Blow-up for solutions of some degenerate parabolic equations
• A degenerate and strongly coupled quasilinear parabolic system not in divergence form
• Some degenerate and quasilinear parabolic systems not in divergence form.
• Global and blow-up solutions for a mutualistic model
• Global existence and nonexistence for degenerate parabolic systems
• On diffusion-induced blowups in a mutualistic model

This page was built for publication: A degenerate and strongly coupled quasilinear parabolic system with crosswise diffusion for a mutualistic model