Persistence in reacting-diffusing systems: interaction of two predators and one prey

DOI10.1016/0362-546X(87)90058-7zbMath0631.92017OpenAlexW2076482133WikidataQ115599072 ScholiaQ115599072MaRDI QIDQ3768733

Ling Hsiao, Piero De Mottoni

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90058-7

zbMATH Keywords

invarianceasymptotic stabilityglobal existencepredator-prey modelsmonotonicity methodsno-flux boundary conditionssemilinear parabolic systemspersistence resultsmore-component reaction-diffusion systemssecond-order symmetric uniformly elliptic operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

Analysis of ratio-dependent food chain model ⋮ Dynamics for a three-species predator-prey model with density-dependent motilities ⋮ Positive solutions for a three-species competition system with diffusion—I. General existence results ⋮ Existence and nonexistence of positive steady states in multi-species phytoplankton dynamics ⋮ Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis ⋮ Nonconstant positive steady states and pattern formation of 1D prey-taxis systems ⋮ Dynamics of a simple food chain model with a ratio-dependent functional response ⋮ A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response. I: Long time behavior and stability of equilibria ⋮ Persistence in a periodic competitor-competitor-mutualist diffusion system ⋮ Coexistence states of a three-species cooperating model with diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
• Aggregation effects in degenerate diffusion problems
• A comparison technique for systems of reaction-diffusion equations
• Asymptotic stability results for system of quasilinear parabolic equations

This page was built for publication: Persistence in reacting-diffusing systems: interaction of two predators and one prey