Comparative analysis of phenomenological growth models applied to epidemic outbreaks

DOI10.3934/mbe.2019212zbMath1497.92239OpenAlexW2944866126WikidataQ93200400 ScholiaQ93200400MaRDI QIDQ2160774

Gerardo Chowell, Leidy Yissedt Lara-Díıaz, Raimund Bürger

Publication date: 3 August 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019212

zbMATH Keywords

logistic modelgrowth modelsGompertz modelbootstrap processepidemic growth pattern

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (5)

A stretched logistic equation for pandemic spreading ⋮ The two-step exponential decay reaction network: analysis of the solutions and relation to epidemiological SIR models with logistic and Gompertz type infection contact patterns ⋮ A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile ⋮ Measuring differences between phenomenological growth models applied to epidemiology ⋮ Hyperbolastic type-III diffusion process: obtaining from the generalized Weibull diffusion process

Uses Software

• AppliedPredictiveModeling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Richards model revisited: validation by and application to infection dynamics
• Estimating the parameters of a Gompertz-type diffusion process by means of simulated annealing
• A stochastic model related to the Richards-type growth curve. Estimation by means of simulated annealing and variable neighborhood search
• Mathematical biology. Vol. 1: An introduction.
• A diffusion process to model generalized von Bertalanffy growth patterns: fitting to real data
• How to resolve the SLOSS debate: lessons from species-diversity models
• A unified approach to the Richards-model family for use in growth analyses: why we need only two model forms
• The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda
• Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: assessing the effects of hypothetical interventions
• Estimating initial epidemic growth rates
• On the analytical solution for the Pütter-Bertalanffy growth equation
• A new Gompertz-type diffusion process with application to random growth
• The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models
• The Effective Reproduction Number as a Prelude to Statistical Estimation of Time-Dependent Epidemic Trends
• Applied Predictive Modeling
• Mathematical Models in Population Biology and Epidemiology
• A Primer on Mathematical Models in Biology
• Some notes about inference for the lognormal diffusion process with exogenous factors

This page was built for publication: Comparative analysis of phenomenological growth models applied to epidemic outbreaks