Pulse vaccination strategy in the SIR epidemic model
TLDR
Theoretical results show that the measles ‘pulse’ vaccination strategy can be distinguished from the conventional strategies in leading to disease eradication at relatively low values of vaccination.About:
This article is published in Bulletin of Mathematical Biology.The article was published on 1998-11-01 and is currently open access. It has received 507 citations till now. The article focuses on the topics: Epidemic model.read more
Citations
More filters
Journal ArticleDOI
Inferring change points in the spread of COVID-19 reveals the effectiveness of interventions.
Jonas Dehning,Johannes Zierenberg,F. Paul Spitzner,Michael Wibral,Joao Pinheiro Neto,Michael Wilczek,Michael Wilczek,Viola Priesemann,Viola Priesemann +8 more
TL;DR: Modeling and Bayesian inference reveal the time dependence of SARS-CoV-2 interventions on the number of new infections using the example of Germany and the impact of these measures on the disease spread using change point analysis.
Journal ArticleDOI
The dynamics of measles in sub-Saharan Africa
Matthew J. Ferrari,Rebecca F. Grais,Nita Bharti,Andrew J. K. Conlan,Ottar N. Bjørnstad,Ottar N. Bjørnstad,Lara J. Wolfson,Philippe J Guerin,Ali Djibo,Bryan T. Grenfell +9 more
TL;DR: It is shown that measles epidemics in Niger are highly episodic, particularly in the capital Niamey, and how increased vaccine coverage, but still below the local elimination threshold, could lead to increasingly variable major outbreaks in highly seasonally forced contexts.
Journal ArticleDOI
Opposite Patterns of Synchrony in Sympatric Disease Metapopulations
TL;DR: Analysis of measles epidemics in UK cities shows the reverse pattern, namely a shift from spatial incoherence and irregularity before vaccination to regular, synchronous epidemics afterward, and models show that these patterns can arise from disease-specific responses to dynamical noise.
Journal ArticleDOI
Analysis of a delayed epidemic model with pulse vaccination and saturation incidence.
TL;DR: An SEIRS epidemic model with time delays and pulse vaccination is formulated and it is proven that the infection-free periodic solution is globally attractive if the vaccination rate is larger than theta*.
Journal ArticleDOI
Density-dependent birth rate, birth pulses and their population dynamic consequences.
Sanyi Tang,Lansun Chen +1 more
TL;DR: Using the discrete dynamical system determined by the stroboscopic map, an exact periodic solution of systems which are with Ricker functions or Beverton-Holt functions are obtained, and the threshold conditions for their stability are obtained.
References
More filters
Book
Infectious Diseases of Humans: Dynamics and Control
Roy M. Anderson,Robert M. May +1 more
TL;DR: This book discusses the biology of host-microparasite associations, dynamics of acquired immunity heterogeneity within the human community indirectly transmitted helminths, and the ecology and genetics of hosts and parasites.
Journal ArticleDOI
Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series
George Sugihara,Robert M. May +1 more
TL;DR: An approach is presented for making short-term predictions about the trajectories of chaotic dynamical systems, applied to data on measles, chickenpox, and marine phytoplankton populations, to show how apparent noise associated with deterministic chaos can be distinguished from sampling error and other sources of externally induced environmental noise.
Book
Elementary stability and bifurcation theory
Gérard Iooss,Daniel D. Joseph +1 more
TL;DR: Asymptotic solutions of evolution problems bifurcation and stability of steady solution of evolution equations in one dimension imperfection theory and isolated solutions which perturb bifurbcation stability of stable solutions in two dimensions and n dimensions appendices as discussed by the authors.
Journal ArticleDOI
Directly transmitted infections diseases: control by vaccination
Roy M. Anderson,Robert M. May +1 more
TL;DR: Criteria for the eradication of a disease are given, in terms of the proportion of the population to be vaccinated and the age-specific vaccination schedule, and estimates are made of the levels of protection that would be needed to eradicate these diseases.