ArticleInternational journal of environmental research and public health2016
Modeling Heterogeneity in Direct Infectious Disease Transmission in a Compartmental Model.
Article in International journal of environmental research and public health, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Article
- The consequences of host heterogeneity for parasite transmission depend on how host infectiousness is determined.The Journal of animal ecology · 2026Article
- Performance of a score to characterise adequate contact among the social network of persons with TB.IJTLD open · 2024Article
- Quantitative analysis of social influence and digital piracy contagion with differential equations on networks.Scientific reports · 2024Article
- On Spatiotemporal Overdispersion and Macroparasite Accumulation in Hosts Leading to Aggregation: A Quantitative Framework.Diseases (Basel, Switzerland) · 2022Article
- Spatial heterogeneity affects predictions from early-curve fitting of pandemic outbreaks: a case study using population data from Denmark.Royal Society open science · 2022Article
- Bacterial-viral interactions: a factor that facilitates transmission heterogeneities.FEMS microbes · 2022Article
- On the heterogeneous spread of COVID-19 in Chile.Chaos, solitons, and fractals · 2021Article
- Modelling of optimal vaccination strategies in response to a bioterrorism associated smallpox outbreak.Human vaccines & immunotherapeutics · 2021Article
- 28 Models Later: Model Competition and the Zombie Apocalypse.Bulletin of mathematical biology · 2021Article
- Multi-population stochastic modeling of Ebola in Sierra Leone: Investigation of spatial heterogeneity.PloS one · 2021Article
- Complexity and critical thresholds in the dynamics of visceral leishmaniasis.Royal Society open science · 2020Article
- Modeling the Heterogeneity of Dengue Transmission in a City.International journal of environmental research and public health · 2018Article
- Cellular Stress Responses and Gut Microbiota in Inflammatory Bowel Disease.Gastroenterology research and practice · 2018Review
- Structural Sensitivity in HIV Modeling: A Case Study of Vaccination.Infectious Disease Modelling · 2017Article
- Is the impact of childhood influenza vaccination less than expected: a transmission modelling study.BMC infectious diseases · 2017Article
- African swine fever detection and transmission estimates using homogeneous versus heterogeneous model formulation in stochastic simulations within pig premises.Open veterinary journalArticle
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Mathematical models have been used to understand the transmission dynamics of infectious diseases and to assess the impact of intervention strategies. Traditional mathematical models usually assume a homogeneous mixing in the population, which is rarely the case in reality. Here, we construct a new transmission function by using as the probability density function a negative binomial distribution, and we develop a compartmental model using it to model the heterogeneity of contact rates in the population. We explore the transmission dynamics of the developed model using numerical simulations with different parameter settings, which characterize different levels of heterogeneity. The results show that when the reproductive number, R₀, is larger than one, a low level of heterogeneity results in dynamics similar to those predicted by the homogeneous mixing model. As the level of heterogeneity increases, the dynamics become more different. As a test case, we calibrated the model with the case incidence data for severe acute respiratory syndrome (SARS) in Beijing in 2003, and the estimated parameters demonstrated the effectiveness of the control measures taken during that period.
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