ArticleDiscrete and continuous dynamical systems. Series B2014
A PERIODIC ROSS-MACDONALD MODEL IN A PATCHY ENVIRONMENT.
Article in Discrete and continuous dynamical systems. Series B, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Effect of host movement on the prevalence of vector-borne diseases.Journal of mathematical biology · 2025Article
- Theory of infectious disease spillover at an ecological boundary: impacts of seasonality and cross-boundary movement.Royal Society open science · 2025Article
- A hybrid Lagrangian-Eulerian model for vector-borne diseases.Journal of mathematical biology · 2024Article
- Impact of State-Dependent Dispersal on Disease Prevalence.Journal of nonlinear science · 2021Article
- Disease Emergence in Multi-Patch Stochastic Epidemic Models with Demographic and Seasonal Variability.Bulletin of mathematical biology · 2020Article
- Mathematical Analysis of the Ross-Macdonald Model with Quarantine.Bulletin of mathematical biology · 2020Article
- An almost periodic Ross-Macdonald model with structured vector population in a patchy environment.Journal of mathematical biology · 2020Article
- Habitat fragmentation promotes malaria persistence.Journal of mathematical biology · 2019Article
- Mass drug administration: the importance of synchrony.Mathematical medicine and biology : a journal of the IMA · 2017Article
- Modeling Lyme disease transmission.Infectious Disease Modelling · 2017Review
- Global properties of vector-host disease models with time delays.Journal of mathematical biology · 2017Article
- Optimal seasonal timing of oral azithromycin for malaria.The American journal of tropical medicine and hygiene · 2014Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
Based on the classical Ross-Macdonald model, in this paper we propose a periodic malaria model to incorporate the effects of temporal and spatial heterogeneity on disease transmission. The temporal heterogeneity is described by assuming that some model coefficients are time-periodic, while the spatial heterogeneity is modeled by using a multi-patch structure and assuming that individuals travel among patches. We calculate the basic reproduction number [Formula: see text] and show that either the disease-free periodic solution is globally asymptotically stable if [Formula: see text] or the positive periodic solution is globally asymptotically stable if [Formula: see text]. Numerical simulations are conducted to confirm the analytical results and explore the effect of travel control on the disease prevalence.
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