Positive periodic solutions of nonautonomous delay competitive systems with weak Allee effect

DOI10.1016/j.nonrwa.2007.10.010zbMath1154.34370OpenAlexW2031501037MaRDI QIDQ1003295

Chikahiro Egami

Publication date: 27 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.10.010

zbMATH Keywords

global attractivitycoincidence degree

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Global stability of solutions to ordinary differential equations (34D23)

Related Items (6)

Periodic solutions for \(n\)-species Lotka-Volterra competitive systems with pure delays ⋮ Weak Allee effects and species coexistence ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ A host–parasitoid system with predation-driven component Allee effects in host population ⋮ Analysis of a nonautonomous epidemic model with density dependent birth rate ⋮ Permanence of delay competitive systems with weak Allee effects

Cites Work

• Delay differential equations: with applications in population dynamics
• Coincidence degree, and nonlinear differential equations
• Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
• Persistence in reaction diffusion models with weak Allee effect
• Speeds of invasion in a model with strong or weak Allee effects
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