Effect of a sharp change of the incidence function on the dynamics of a simple disease

DOI10.1080/17513751003793017zbMath1342.92224OpenAlexW2030628045WikidataQ43789365 ScholiaQ43789365MaRDI QIDQ3186341

Julien Arino, C. Connell McCluskey

Publication date: 9 August 2016

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

Full work available at URL: https://doi.org/10.1080/17513751003793017

zbMATH Keywords

incidence functionepidemiology

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (6)

Epidemiological implications of mobility between a large urban centre and smaller satellite cities ⋮ Periodic orbits and global stability for a discontinuous SIR model with delayed control ⋮ Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust ⋮ Interaction of media and disease dynamics and its impact on emerging infection management ⋮ EFFECT OF MEDIA-INDUCED MODIFICATION OF TRAVEL RATES ON DISEASE TRANSMISSION IN A MULTIPLE PATCH SETTING ⋮ Mate limitation in fungal plant parasites can lead to cyclic epidemics in perennial host populations

Cites Work

• Qualitative stability of linear systems
• Disease transmission models with density-dependent demographics
• Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
• An epidemiological model with population size dependent incidence
• Population size dependent incidence in models for diseases without immunity
• Uniqueness of limit cycles in models for microparasitic and macroparasitic diseases
• Piecewise-smooth dynamical systems. Theory and applications
• Media/psychological impact on multiple outbreaks of emerging infectious diseases
• Backward bifurcation of an epidemic model with treatment
• To switch or taper off: the dynamics of saturation
• Unnamed Item

This page was built for publication: Effect of a sharp change of the incidence function on the dynamics of a simple disease