Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology

DOI10.1007/s00285-012-0602-1zbMath1258.92044OpenAlexW1977250542WikidataQ51168007 ScholiaQ51168007MaRDI QIDQ1944635

J. A. P. Heesterbeek, M. G. Roberts

Publication date: 26 March 2013

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://dspace.library.uu.nl/handle/1874/291166

zbMATH Keywords

infectious diseasesecological stabilityepidemiological stability

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (7)

Evolution of pathogen virulence under selective predation: a construction method to find eco-evolutionary cycles ⋮ The dynamics of an SEIRS-QV malware propagation model in heterogeneous networks ⋮ A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies ⋮ Analysis of the incidence of poxvirus on the dynamics between red and grey squirrels ⋮ Ecoepidemiology: a More Comprehensive View of Population Interactions ⋮ Exploring vector-borne infection ecology in multi-host communities: a case study of West Nile virus ⋮ Comparison and analysis of two forms of harvesting functions in the two-prey and one-predator model

Cites Work

• Unnamed Item
• Unnamed Item
• Predator-prey populations with parasitic infection
• Spatiotemporal patterns in an excitable plankton system with lysogenic viral infection
• Epidemics in two competing species
• The role of transmissible diseases in the Holling-Tanner predator-prey model
• Mathematical study of a bacteria-fish model with level of infection structure
• The influence of diseases on Lotka-Volterra systems
• Modeling the role of viral disease in recurrent phytoplankton blooms
• Four predator prey models with infectious diseases
• Disease-induced stabilization of predator-prey oscillations
• A diffusive SI model with Allee effect and application to FIV
• Modelling disease introduction as biological control of invasive predators to preserve endangered prey
• Strange Periodic Attractors in a Prey-Predator System with Infected Prey
• Predator-prey model with disease infection in both populations
• A predator-prey model with disease in the prey
• Introducing a Population into a Steady Community: The Critical Case, the Center Manifold, and the Direction of Bifurcation

This page was built for publication: Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology