Periodicity and blowup in a two-species cooperating model

DOI10.1016/j.nonrwa.2010.06.033zbMath1202.35115OpenAlexW2069661120WikidataQ61635625 ScholiaQ61635625MaRDI QIDQ611269

Sumit K. Garg

Publication date: 14 December 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.2010.06.033

zbMATH Keywords

upper and lower solutionsDirichlet boundary conditionsintra-specific competitions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

A Lotka-Volterra cooperating reaction-diffusion system with degenerate density-dependent diffusion ⋮ Qualitative properties of a cooperative degenerate Lotka-Volterra model ⋮ Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka-Volterra systems ⋮ On positive periodic solutions of the time-space periodic Lotka-Volterra cooperating system in multi-dimensional media ⋮ Lower Bound of Blow up Time for Three Species Cooperating Model ⋮ A two-species cooperative Lotka-Volterra system of degenerate parabolic equations ⋮ Global existence and blow-up analysis to a cooperating model with self-diffusion ⋮ Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic solutions of reaction diffusion systems in a half-space domain
• Blow-up in a three-species cooperating model
• Existence and stability of periodic quasisolutions in nonlinear parabolic systems with discrete delays
• Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
• Stability and attractivity of periodic solutions of parabolic systems with time delays
• Periodic solutions of quasilinear parabolic systems with nonlinear boundary conditions
• Coexistence and asymptotic periodicity in a competitor-competitor-mutualist model
• Dynamics in a periodic competitive model with stage structure
• Blowup properties for nonlinear degenerate diffusion equations with nonlocal sources
• Dynamics of the lotka-volterra systems with diffusion
• Global asymptotic behavior in a periodic competitor-competitor-mutualist parabolic system
• Asymptotic periodicity in diffusive logistic equations with discrete delays
• On diffusion-induced blowups in a mutualistic model

This page was built for publication: Periodicity and blowup in a two-species cooperating model