Explicit formulae for the peak time of an epidemic from the SIR model. Which approximant to use?
From MaRDI portal
Publication:2077737
DOI10.1016/j.physd.2021.132981zbMath1482.92102OpenAlexW3175295208MaRDI QIDQ2077737
Reinhard Schlickeiser, Martin Kröger, Mustafa Turkyilmazoglu
Publication date: 21 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2021.132981
Related Items
On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model, An extended epidemic model with vaccination: weak-immune SIRVI, A restricted epidemic SIR model with elementary solutions, A new acceleration of variational iteration method for initial value problems, There exists the ``smartest movement rate to control the epidemic rather than ``city lockdown, On the mathematical modeling of measles disease dynamics with encephalitis and relapse under the Atangana-Baleanu-Caputo fractional operator and real measles data of Nigeria, The contagion dynamics of vaccine skepticism
Cites Work
- Unnamed Item
- Unnamed Item
- Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
- On pulse vaccine strategy in a periodic stochastic SIR epidemic model
- Solvability of implicit final size equations for SIR epidemic models
- Mathematics of epidemics on networks. From exact to approximate models
- The threshold of a stochastic delayed SIRS epidemic model with temporary immunity and vaccination
- The explicit series solution of SIR and SIS epidemic models
- Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate
- Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures
- The threshold of a stochastic delayed SIR epidemic model with vaccination
- Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination
- Solving a model for the evolution of smoking habit in Spain with homotopy analysis method
- Pulse vaccination strategies in a metapopulation SIR model
- Analysis of a fractional SIR model with general incidence function
- Optimizing vaccination strategies in an age structured SIR model
- Numerical solution and parameter estimation for uncertain SIR model with application to COVID-19
- An analytical solution for the Kermack-McKendrick model
- Explicit formulae for the peak time of an epidemic from the SIR model
- Accurate closed-form solution of the SIR epidemic model
- SIR epidemic model with Mittag-Leffler fractional derivative
- Size and timescale of epidemics in the SIR framework
- Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps
- Behavior of a stochastic SIR epidemic model with saturated incidence and vaccination rules
- SIR epidemics with stochastic infectious periods
- Global stability in a networked SIR epidemic model
- Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition
- Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy
- Effect of discretization on dynamical behavior of SEIR and SIR models with nonlinear incidence
- Threshold dynamics in stochastic SIRS epidemic models with nonlinear incidence and vaccination
- The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
- Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- A Bayesian stochastic SIRS model with a vaccination strategy for the analysis of respiratory syncytial virus
- A multiregional extension of the SIR model, with application to the COVID‐19 spread in Italy
- Time to extinction and stationary distribution of a stochastic susceptible-infected-recovered-susceptible model with vaccination under Markov switching
- A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: Stationary distribution and extinction
- THRESHOLD AND STABILITY RESULTS FOR AN SIRS EPIDEMIC MODEL WITH A GENERAL PERIODIC VACCINATION STRATEGY
- Analytical solution of the SIR-model for the temporal evolution of epidemics. Part A: time-independent reproduction factor
- Dynamics of an epidemic system with prey herd behavior and alternative resource to predator
- Analytical solution of the SIR-model for the temporal evolution of epidemics: part B. Semi-time case
