ArticleJournal of mathematical biology2018
A reaction-diffusion malaria model with seasonality and incubation period.
Article in Journal of mathematical biology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Analysis of a diffusive two-strain malaria model with the carrying capacity of the environment for mosquitoes.Infectious Disease Modelling · 2024Article
- An analytically tractable, age-structured model of the impact of vector control on mosquito-transmitted infections.PLoS computational biology · 2024Article
- The role of natural recovery category in malaria dynamics under saturated treatment.Journal of mathematical biology · 2024Article
- A diffusive virus model with a fixed intracellular delay and combined drug treatments.Journal of mathematical biology · 2021Article
- Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias.Journal of mathematical biology · 2021Article
- Habitat fragmentation promotes malaria persistence.Journal of mathematical biology · 2019Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
In this paper, we propose a time-periodic reaction-diffusion model which incorporates seasonality, spatial heterogeneity and the extrinsic incubation period (EIP) of the parasite. The basic reproduction number [Formula: see text] is derived, and it is shown that the disease-free periodic solution is globally attractive if [Formula: see text], while there is an endemic periodic solution and the disease is uniformly persistent if [Formula: see text]. Numerical simulations indicate that prolonging the EIP may be helpful in the disease control, while spatial heterogeneity of the disease transmission coefficient may increase the disease burden.
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