ArticleJournal of mathematical biology2019
Habitat fragmentation promotes malaria persistence.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Effect of host movement on the prevalence of vector-borne diseases.Journal of mathematical biology · 2025Article
- A hybrid Lagrangian-Eulerian model for vector-borne diseases.Journal of mathematical biology · 2024Article
- Vector-borne disease models with Lagrangian approach.Journal of mathematical biology · 2024Article
- Climatic, land-use and socio-economic factors can predict malaria dynamics at fine spatial scales relevant to local health actors: Evidence from rural Madagascar.PLOS global public health · 2023Article
- Zoonotic Blood-Borne Pathogens in Non-Human Primates in the Neotropical Region: A Systematic Review.Pathogens (Basel, Switzerland) · 2021Review
- Landscape Seroprevalence of Three Hemorrhagic Disease-Causing Viruses in a Wild Cervid.EcoHealth · 2021Article
- Vector role and human biting activity of Anophelinae mosquitoes in different landscapes in the Brazilian Amazon.Parasites & vectors · 2021Article
- Impact of State-Dependent Dispersal on Disease Prevalence.Journal of nonlinear science · 2021Article
- Virions and respiratory droplets in air: Diffusion, drift, and contact with the epithelium.Bio Systems · 2020Review
- Disease Emergence in Multi-Patch Stochastic Epidemic Models with Demographic and Seasonal Variability.Bulletin of mathematical biology · 2020Article
- Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed.Bio Systems · 2020Article
- Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix.Journal of mathematical biology · 2020Article
- Mathematical Analysis of the Ross-Macdonald Model with Quarantine.Bulletin of mathematical biology · 2020Article
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Authors and funding
3 authors.
Funding
Abstract
Based on a Ross-Macdonald type model with a number of identical patches, we study the role of the movement of humans and/or mosquitoes on the persistence of malaria and many other vector-borne diseases. By using a theorem on line-sum symmetric matrices, we establish an eigenvalue inequality on the product of a class of nonnegative matrices and then apply it to prove that the basic reproduction number of the multipatch model is always greater than or equal to that of the single patch model. Biologically, this means that habitat fragmentation or patchiness promotes disease outbreaks and intensifies disease persistence. The risk of infection is minimized when the distribution of mosquitoes is proportional to that of humans. Numerical examples for the two-patch submodel are given to investigate how the multipatch reproduction number varies with human and/or mosquito movement. The reproduction number can surpass any given value whenever an appropriate travel pattern is chosen. Fast human and/or mosquito movement decreases the infection risk, but may increase the total number of infected humans.
Indexed as
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31520106What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.