An apparent paradox of horizontal and vertical disease transmission

DOI10.1080/17513750601040367zbMath1140.92019OpenAlexW2035725748WikidataQ84768813 ScholiaQ84768813MaRDI QIDQ3520250

Karl Peter Hadeler, Horst R. Thieme, Stanley H. Faeth

Publication date: 15 August 2008

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

Full work available at URL: https://doi.org/10.1080/17513750601040367

zbMATH Keywords

persistencecoexistenceevolution of virulence

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (7)

Stochastic spatial structured model for vertically and horizontally transmitted infection ⋮ Bifurcation analysis of an epidemic model with nonlinear incidence ⋮ The role of the ratio of vector and host densities in the evolution of transmission modes in vector-borne diseases. the example of sylvatic \textit{Trypanosoma cruzi} ⋮ The evolution of plant virus transmission pathways ⋮ Asymptotic analysis of a vector-borne disease model with the age of infection ⋮ The role of adaptations in two-strain competition for sylvaticTrypanosoma cruzitransmission ⋮ Monotone dependence of the spectral bound on the transition rates in linear compartment models

Cites Work

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• Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
• Population size dependent incidence in models for diseases without immunity
• Dynamics of influenza A drift: The linear three-strain model
• The Mathematics of Infectious Diseases
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)

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