1. Using Hawkes Processes to model imported and local malaria cases in near-elimination settings
- Author
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Isobel Routledge, Samir Bhatt, Shengjie Lai, Marian-Andrei Rizoiu, Daniel J. Weiss, H. Juliette T. Unwin, Seth Flaxman, Swapnil Mishra, and Justin M. Cohen
- Subjects
0301 basic medicine ,Epidemiology ,Computer science ,01 natural sciences ,Disease Outbreaks ,law.invention ,Geographical Locations ,010104 statistics & probability ,Medical Conditions ,law ,Medicine and Health Sciences ,Biology (General) ,Protozoans ,Community based ,Ecology ,Statistical Models ,Simulation and Modeling ,Applied Mathematics ,Statistics ,Malarial Parasites ,Eukaryota ,Geography ,Transmission (mechanics) ,Computational Theory and Mathematics ,Modeling and Simulation ,Physical Sciences ,01 Mathematical Sciences, 06 Biological Sciences, 08 Information and Computing Sciences ,Disease transmission ,Algorithms ,Research Article ,Optimization ,China ,Asia ,Bioinformatics ,QH301-705.5 ,Mosquito Vectors ,Research and Analysis Methods ,03 medical and health sciences ,Cellular and Molecular Neuroscience ,Malaria transmission ,Parasitic Diseases ,Genetics ,medicine ,Humans ,Disease Eradication ,0101 mathematics ,Molecular Biology ,Environmental planning ,Ecology, Evolution, Behavior and Systematics ,Models, Statistical ,Organisms ,Biology and Life Sciences ,Outbreak ,Statistical model ,Tropical Diseases ,medicine.disease ,Parasitic Protozoans ,Malaria ,030104 developmental biology ,People and Places ,Eswatini ,Mathematics - Abstract
Developing new methods for modelling infectious diseases outbreaks is important for monitoring transmission and developing policy. In this paper we propose using semi-mechanistic Hawkes Processes for modelling malaria transmission in near-elimination settings. Hawkes Processes are well founded mathematical methods that enable us to combine the benefits of both statistical and mechanistic models to recreate and forecast disease transmission beyond just malaria outbreak scenarios. These methods have been successfully used in numerous applications such as social media and earthquake modelling, but are not yet widespread in epidemiology. By using domain-specific knowledge, we can both recreate transmission curves for malaria in China and Eswatini and disentangle the proportion of cases which are imported from those that are community based., Author summary This paper introduces a mathematically well-founded method for infectious disease outbreaks known as Hawkes Processes. These semi-mechanistic models are relatively new to the infectious diseases toolkit and enable us to combine disease specific information such as the infectious profile with statistical rigour to recreate temporal disease transmission. We show that these methods are very suited to modelling malaria in communities close to eliminating malaria—in particular China and Eswatini—where we are able to disentangle the contribution of exogenous (external) transmission and endogenous (person-to-person) transmission. This is particularly important for developing policies when counties are approaching elimination.
- Published
- 2020
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