Chemostats and epidemics: competition for nutrients/hosts

DOI10.3934/mbe.2013.10.1635zbMath1273.92039OpenAlexW1966887328WikidataQ38163574 ScholiaQ38163574MaRDI QIDQ374279

Horst R. Thieme, Hal Leslie Smith

Publication date: 23 October 2013

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2013.10.1635

zbMATH Keywords

seasonalityglobal stabilityLyapunov functionsbasic reproduction numbercoexistencecompetitive exclusionevolution of virulencebreak-even concentrationscross immunitycross protection

Mathematics Subject Classification ID

Epidemiology (92D30) Problems related to evolution (92D15) Stability of topological dynamical systems (37B25) Lyapunov and storage functions (93D30) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

Related Items (11)

Competition in the chemostat with time-dependent differential removal rates ⋮ Population dynamics under selection and mutation: long-time behavior for differential equations in measure spaces ⋮ The many guises of \(R_0\) (a didactic note) ⋮ Spatial propagation for a parabolic system with multiple species competing for single resource ⋮ Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior ⋮ On the limits of the Volterra function in the Lyapunov method: the Anderson-May-Gupta model as a cautionary example ⋮ On Impulsive Reaction-Diffusion Models in Higher Dimensions ⋮ On permanence and extinction for a nonautonomous chemostat model with delays ⋮ Stability analysis of an enteropathogen population growing within a heterogeneous group of animals ⋮ Analysis of Propagation for Impulsive Reaction-Diffusion Models ⋮ Global stability in a competitive infection-age structured model

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