Constrained minimization problems for the reproduction number in meta-population models
type: Item
instance of: scholarly article
title: Constrained minimization problems for the reproduction number in meta-population models
zbMATH Open document ID: 1406.37065
author: Gayane Poghotanyan
author: Zhilan Feng
author: John Glasser
author: Andrew N. Hill
published in: Journal of Mathematical Biology
publication date: 2018-12-21T00:00:00Z
full work available at URL: pmc6092264
review text: The authors consider two constrained optimization problems in meta-population models for vaccine preventable diseases. Previous papers consider cases in which an optimal vaccination strategy exists. However, in general, the optimal solution identified using the gradient may not be feasible for some parameter values (i.e., vaccination coverages outside the unit interval). In this paper, the authors derive the analytic conditions under which the optimal solution is feasible.
reviewed by: Fatima T. Adylova
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6996575
zbMATH Keywords: meta-population model
zbMATH Keywords: convexity of reproduction number
zbMATH Keywords: optimization problem
zbMATH Keywords: vaccination strategy
zbMATH Keywords: epidemiology
MaRDI profile type: Publication
OpenAlex ID: W2788110120
Wikidata QID: Q49994028
cites work: The effects of averaging on the basic reproduction ratio
cites work: Heterogeneity in epidemic models and its effect on the spread of infection
cites work: Mathematical Models in Population Biology and Epidemiology
cites work: Q4713799
cites work: Global stability of an age-structure model for TB and its applications to optimal vaccination strategies
cites work: On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
cites work: Q3143234
cites work: An elaboration of theory about preventing outbreaks in homogeneous populations to include heterogeneity or preferential mixing
cites work: Evaluating targeted interventions via meta-population models with multi-level mixing
cites work: Convex spectral functions
cites work: Mixing in age-structured population models of infectious diseases
cites work: Q4884177
cites work: Q4884178
cites work: The critical vaccination fraction for heterogeneous epidemic models
cites work: Modeling and analyzing HIV transmission: The effect of contact patterns
cites work: Heterogeneity in disease-transmission modeling
cites work: Convexity and log convexity for the spectral radius
cites work: Q4405301
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
DOI: 10.1007/S00285-018-1216-Z
description: scientific article; zbMATH DE number 6996575