The population dynamics of two vertically transmitted infections
type: Item
instance of: scholarly article
title: The population dynamics of two vertically transmitted infections
zbMATH Open document ID: 0638.92009
DOI: 10.1016/0040-5809(88)90012-3
author: Kenneth Cooke
author: Stavros N. Busenberg
published in: Theoretical Population Biology
publication date: 1988-01-01T00:00:00Z
review text: The transmission of Keystone virus in the mosquito Aedes atlanticus and of Rickettsia rickettsii in the tick Dermacentor andersoni is modeled and analyzed. Both of these infections can be transmitted vertically from an infective parent to newborn offspring as well as horizontally via direct or indirect contacts with infected individuals. The vertical transmission mechanism plays a major role in the maintenance of these infections and its effects are analyzed in detail. This same mechanism can act as a means for controlling the size of the infected host population and an analysis of this effect is also provided. The sensitivity of the threshold parameters and the endemic prevalence rates of the disease to variations in the basic infection transmission components are investigated. The transmission components that are considered include the ability to transmit the pathogen vertically as well as horizontally, the size of the host population, and survival probabilities of the hosts.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4041675
zbMATH Keywords: epidemiology
zbMATH Keywords: transmission of Keystone virus
zbMATH Keywords: mosquito Aedes atlanticus
zbMATH Keywords: Rickettsia rickettsii
zbMATH Keywords: Dermacentor andersoni
zbMATH Keywords: vertical transmission mechanism
zbMATH Keywords: sensitivity of the threshold parameters
zbMATH Keywords: endemic prevalence rates
zbMATH Keywords: size of the host population
zbMATH Keywords: survival probabilities of the hosts
Wikidata QID: Q40787418
MaRDI profile type: Publication
full work available at URL: 0040-5809(88)90012-3
OpenAlex ID: W2075366464
cites work: Q3657815
cites work: Analysis of a model of a vertically transmitted disease
cites work: Q3657814
cites work: Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models
description: scientific article; zbMATH DE number 4041675