Persistence and global stability in a selection–mutation size-structured model

DOI10.1080/17513758.2010.538729zbMath1225.92036OpenAlexW1974357946MaRDI QIDQ3096831

Azmy S. Ackleh, Baoling Ma, Paul L. Salceanu

Publication date: 15 November 2011

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2010.538729

zbMATH Keywords

global asymptotic stabilityuniform persistenceselection-mutationcontinuous size-structured modelrobust persistence

Mathematics Subject Classification ID

Problems related to evolution (92D15) Dynamical systems in biology (37N25) Perturbations of ordinary differential equations (34D10) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

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• Some competition models for size-structured populations
• Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback
• Nonlinear differential equations and dynamical systems
• A model of physiologically structured population dynamics with a nonlinear individual growth rate
• A finite difference approximation for a coupled system of nonlinear size-structured populations
• Robust persistence for semidynamical systems.
• Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynam\-ics
• Lyapunov exponents and persistence in discrete dynamical systems
• Asymptotic stability of equilibria of selection-mutation equations
• Emergence of HIV-1 drug resistance during antiretroviral treatment
• Comparison between stochastic and deterministic selection-mutation models
• Parameter estimation in a coupled system of nonlinear size-structured populations
• The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
• Competitive exclusion and coexistence for a quasilinear size-structured population model
• Stability of equilibria of a predator-prey model of phenotype evolution
• STATIONARY SOLUTIONS OF A SELECTION MUTATION MODEL: THE PURE MUTATION CASE
• Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets
• Multistrain virus dynamics with mutations: a global analysis
• Perturbation of a globally stable steady state
• An implicit finite difference scheme for the nonlinear size-structured population model
• Evolutionary game dynamics
• A CONTINUOUS SIZE-STRUCTURED RED CORAL GROWTH MODEL
• SURVIVAL OF THE FITTEST IN A QUASILINEAR SIZE‐STRUCTURED POPULATION MODEL

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