ArticleBulletin of mathematical biology2021
Modeling and Research on an Immuno-Epidemiological Coupled System with Coinfection.
Article in Bulletin of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Serological reactivity of inactivated SARS-CoV-2 vaccine based on an S-RBD neutralizing antibody assay.International journal of infectious diseases : IJID : official publication of the International Society for Infectious Diseases · 2022Trial
- Modeling two-strain competition with reinfection: Mathematical analyses and epidemiological implications.Infectious Disease Modelling · 2026Article
- The work of Pierre Magal on differential equations, functional analysis and mathematical biology.Journal of mathematical biology · 2025Article
- A multi-strain model with asymptomatic transmission: Application to COVID-19 in the US.Journal of theoretical biology · 2023Article
- Modeling Syphilis and HIV Coinfection: A Case Study in the USA.Bulletin of mathematical biology · 2023Article
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Authors and funding
4 authors.
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Abstract
In this paper, a two-strain model with coinfection that links immunological and epidemiological dynamics across scales is formulated. On the with-in host scale, the two strains eliminate each other with the strain having the larger immunological reproduction number persisting. However, on the population scale coinfection is a common occurrence. Individuals infected with strain one can become coinfected with strain two and similarly for individuals originally infected with strain two. The immunological reproduction numbers [Formula: see text], the epidemiological reproduction numbers [Formula: see text] and invasion reproduction numbers [Formula: see text] are computed. Besides the disease-free equilibrium, there are strain one and strain two dominance equilibria. The disease-free equilibrium is locally asymptotically stable when the epidemiological reproduction numbers [Formula: see text] are smaller than one. In addition, each strain dominance equilibrium is locally asymptotically stable if the corresponding epidemiological reproduction number is larger than one and the invasion reproduction number of the other strain is smaller than one. The coexistence equilibrium exists when all the reproduction numbers are greater than one. Simulations suggest that when both invasion reproduction numbers are smaller than one, bistability occurs with one of the strains persisting or the other, depending on initial conditions.
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