Habitat fragmentation promotes malaria persistence
type: Item
instance of: scholarly article
title: Habitat fragmentation promotes malaria persistence
zbMATH Open document ID: 1431.92133
author: Daozhou Gao
author: P. van den Driessche
author: Chris Cosner
published in: Journal of Mathematical Biology
publication date: 2019-11-22T00:00:00Z
review text: The authors study a multipatch malaria model based on the Ross-Macdonald model with identical patches. They show that the basic reproduction number of the multipatch model is always greater than or equal to that of the model with a single patch. This is shown by establishing an eigenvalue inequality on the product of a class of nonnegative matrices, applying a theorem on line-sum symmetric matrices. The result suggests that habitat fragmentation leads to an increased level of the disease. The risk of infection is the smallest in case of the distribution of mosquitoes being proportional to that of humans. The results also emphasize the importance to consider the spatial structure when one studies the spread of an infectious disease. Otherwise, one might underestimate the risk of outbreaks and disease persistence and also the efforts needed to eliminate the disease. Numerical examples are also shown for the case of two patches. These results show that the reproduction number can obtain arbitrarily large values if the travel pattern is chosen appropriately. The authors also raise several important questions regarding further research on the topic.
reviewed by: Attila Dénes
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 7135096
zbMATH Keywords: vector-borne disease
zbMATH Keywords: basic reproduction number
zbMATH Keywords: human movement
zbMATH Keywords: disease persistence
zbMATH Keywords: line-sum symmetric matrix
zbMATH Keywords: habitat fragmentation
Wikidata QID: Q90101780
MaRDI profile type: Publication
full work available at URL: s00285-019-01428-2
OpenAlex ID: W2973062450
cites work: Modeling the spread and control of dengue with limited public health resources
cites work: A metapopulation model for malaria with transmission-blocking partial immunity in hosts
cites work: The Ross-MacDonald model in a patchy environment
cites work: A reaction-diffusion malaria model with seasonality and incubation period
cites work: Q3943082
cites work: Vector-borne diseases models with residence times -- a Lagrangian perspective
cites work: A mathematical model for assessing control strategies against West Nile virus
cites work: Evolutionary stability of ideal free dispersal strategies in patchy environments
cites work: Q5038542
cites work: Modeling and control of local outbreaks of West Nile virus in the United States
cites work: Models for the effects of host movement in vector-borne disease systems
cites work: The effects of human movement on the persistence of vector-borne diseases
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: Line-sum-symmetric scalings of square nonnegative matrices
cites work: Q4399897
cites work: Competitive exclusion in a vector-host model for the dengue fever
cites work: Travel Frequency and Infectious Diseases
cites work: Fast diffusion inhibits disease outbreaks
cites work: Modeling the spatial spread of rift valley fever in Egypt
cites work: A periodic Ross-Macdonald model in a patchy environment
cites work: An SIS patch model with variable transmission coefficients
cites work: A multipatch malaria model with logistic growth populations
cites work: Population dynamics of mosquito-borne disease: Persistence in a completely heterogeneous environment
cites work: Q4902474
cites work: Impact of travel between patches for spatial spread of disease
cites work: On the dynamics of a class of multi-group models for vector-borne diseases
cites work: The effect of population dispersal on the spread of a disease
cites work: A reaction-diffusion malaria model with incubation period in the vector population
cites work: Q5616724
cites work: A model for disease transmission in a patchy environment
cites work: Q4834372
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Threshold of disease transmission in a patch environment
cites work: An epidemic model in a patchy environment
DOI: 10.1007/S00285-019-01428-2
description: scientific article; zbMATH DE number 7135096