Two-patch model for the spread of West Nile virus

DOI10.1007/S11538-018-0404-8zbMath1390.92153OpenAlexW2794377545WikidataQ52371196 ScholiaQ52371196MaRDI QIDQ1636050

Chris Cosner, Huai-Ping Zhu, Ju-Ping Zhang

Publication date: 4 June 2018

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-018-0404-8

zbMATH Keywords

stabilitybasic reproduction numberWest Nile viruspatch modelmosquitoesbirds migration

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Effect of travel restrictions, contact tracing and vaccination on control of emerging infectious diseases: transmission of COVID-19 as a case study ⋮ Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment ⋮ Vector-borne disease models with Lagrangian approach ⋮ A periodic west Nile virus transmission model with stage-structured host population ⋮ Mathematical modelling for malaria under resistance and population movement ⋮ A West Nile Virus Transmission Model with Periodic Incubation Periods

Cites Work

• Unnamed Item
• Modelling the dynamics of West Nile virus
• Traveling waves and spread rates for a West Nile virus model
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Models of infectious diseases in spatially heterogeneous environments
• The Ross-MacDonald model in a patchy environment
• Population dynamics of mosquito-borne disease: Persistence in a completely heterogeneous environment
• Backward bifurcation in epidemic control
• The effects of human movement on the persistence of vector-borne diseases
• Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A core group model for disease transmission
• Quarantine in a multi-species epidemic model with spatial dynamics
• Transmission dynamics of West Nile virus in mosquitoes and corvids and non-corvids
• Modeling spatial spread of West Nile virus and impact of directional dispersal of birds
• A Multipatch Malaria Model with Logistic Growth Populations
• Mathematical Structures of Epidemic Systems
• Reproduction Numbers and the Stability of Equilibria of SI Models for Heterogeneous Populations
• A multi-species epidemic model with spatial dynamics

This page was built for publication: Two-patch model for the spread of West Nile virus