A uniqueness result for nontrivial steady states of a density-dependent population dynamics model

DOI10.1006/jmaa.1999.6272zbMath0939.47063OpenAlexW2007488280MaRDI QIDQ1289043

Pierre Magal

Publication date: 20 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6272

zbMATH Keywords

Lyapunov functionmetric spaceage-structured density-dependent population dynamics modelcontinuous time analoguediscrete time population dynamics modelmap preserving a positive conenon-trivial equilibrium solutionuniqueness of a non-trivial fixed point

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Fixed-point theorems (47H10) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (2)

A Global stabilization result for discrete dynamical systems on a cone ⋮ Perturbation of a globally stable steady state and uniform persistence

Cites Work

• Equilibrium and local stability in a logistic matrix model for age- structured populations
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