A Computational Model of Dengue Transmission by Cellular Automata
DOI:
https://doi.org/10.17268/sel.mat.2019.02.08Keywords:
Mathematical epidemiology, Cellular automata, DEVS formalismAbstract
The research paper presents a computational model by Cellular Automata (Cell-DEVS) applied to the transmission of Dengue disease, spread by mosquitoes to a susceptible population. This model will have a multilevel approach to consider exogenous interactions such as temperature. This will allow to be able to visualize the critical points where the mosquito reproduction is much greater, and thus carry out control strategies.References
Cabezas S., C. Dengue en el Perú: Aportes para su diagnóstico y control. Rev. Perú. Med. Exp. Salud Pública, 2005; 22(3):212-228. Recuperado de http://www.scielo.org.pe/scielo.php?script=sci_arttext&pid=S1726-46342005000300009
Centro Nacional para Enfermedades Infecciosas Emergentes y Zoonóticas. Ciclo de vida del mosquito. División de Enfermedades Transmitidas por Vectores (Centers for Disease Control and Prevention) (2018). Recuperado de https://www.cdc.gov/zika/pdfs/spanish/MosquitoLifecycle-sp.pdf
Dirección General de Epidemiología. Situación Epidemiología del Dengue: Números de Casos. Centro Nacional de Epidemiología, Prevención y Control de Enfermedades, Ministerio de Salud (2018). Recuperado de http://www.dge.gob.pe/portal/docs/vigilancia/sala/2018/SE01/dengue.pdf
Dirección General de Epidemiología. Sal de Situación, Perú SE 52-2018. Centro Nacional de Epidemiología, Prevención y Control de Enfermedades, Ministerio de Salud (2018). Recuperado de http://www.dge.gob.pe/portal/docs/tools/teleconferencia/2019/SE012019/01.pdf
Brauer, F.; Castillo-Chavez, C. Mathematical Models in Population Biology and Epidemiology. Springer US, 2001. Recuperado de https://link.springer.com/book/10.1007/978-1-4614-1686-9
Kuno Fernández, M. Simulaci´on de la Propagaci´on del vector Aedes Aegypti, Transmisor de las Enfermedades: Dengue, Zika y Chikungunya en Bolivia. Tesis de Licenciatura, Facultad de Ciencias Puras y Naturales, Universidad Mayor de San Andrés, 2016. Recuperado de https://repositorio.umsa.bo/handle/123456789/10700
López Cruz, R. A mathematical model for mosquito infestation. Selecciones Matemáticas, 2018; 6(1):14-18. Recuperado de http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2438/2477
López, L; Muñoz-Loaiza, A; Olivar-Tost, G; Betancourt, J. Modelo matemático para el control de la transmisión del Dengue. Rev. salud pública. 2012; 14(3):512-523. Recuperado de https://www.scielosp.org/article/ssm/content/raw/?resource_ssm_path=/media/assets/rsap/v14n3/v14n3a14.pdf
Bonaventura, M.; Wainer, G.; Castro, R. Graphical modeling and simulation of discrete-event systems with CD++ Builder. Simulation, 2013; 89(1):4-27. Recuperado de https://journals.sagepub.com/doi/abs/10.1177/0037549711436267
Medina Arce, Y; Ramos Tapia, J. Modelo matemático que explica mejor la afectaci´on e identifica el patrón relevante en la difusión para el dengue en la zona urbana del municipio de Neiva. Entornos, 2017; 30(2):121-131. Recuperado de https://dialnet.unirioja.es/descarga/ articulo/6394863.pdf
Mosquera, L; Perea, Milton. Modelo Matemático para la Enfermedad del Dengue. Boletín de Matemáticas, 2006; 13(2):176-185. Recuperado de https://revistas.unal.edu.co/index.php/bolma/article/view/40454/42298
Pino Romero, N., López Cruz, R., Wainer, G. Modelamiento computacional de la dinámica de transmisión sexual del VIH/SIDA mediante autómatas celulares (Cell-DEVS). Selecciones Matemáticas, 2018; 5(1):39-47.
Sepúlveda-Salcedo, L; Vasilieva, O; Martínez-Romero, H; Arias-Castro, J. Ross McDonald: Un modelo para la dinámica del dengue en Cali, Colombia. Revista de Salud Pública, 2015; 17(5):749-761. https://revistas.unal.edu.co/index.php/revsaludpublica/article/view/44685/62642
Trottier, H.; Philippe, P. Deterministic Modeling Of Infectious Diseases: Theory And Methods. The Internet Journal of Infectious Diseases, 2000; 1(2):1-6. Recuperado de https://print.ispub.com/api/0/ispub-article/5230
Wainer, G. Discrete Event Modeling and Simulation. A Practitioners Approach. CRC Press, 1st. Edition, 2009; ISBN 9781420053364 - CAT# 53361. Recuperado de https://www.crcpress.com/Discrete-Event-Modeling-and-Simulation-A-Practitioners-Approach/Wainer/p/book/9781420053364
Wainer, G. CD++: a toolkit to develop DEVS models. Software: Practice and Experience, 2002; 32(13):1261-1306. Recuperado de http://www.sce.carleton.ca/faculty/wainer/papers/spe482.pdf
Wainer, G. Advanced Cell-DEVS modeling applications: a legacy of Norbert Giambiasi. Simulation, 2018; 0(0):1-27. Recuperado de https://journals.sagepub.com/doi/abs/10.1177/0037549718761596?journalCode=simb
Wainer, G.; Giambiasi, N. Application of the Cell-DEVS paradigm for cell spaces modelling and simulations. Simulation, 2001; 76(1):22-39. Recuperado de https://journals.sagepub.com/doi/10.1177/003754970107600102
Wilchez Velásquez, C. Modelo de propagación de la malaria usando autómatas celulares con indicadores de probabilidad. Undergraduate Thesis, Universidad de los Andes, Bogotá, Colombia, 2014. Recuperado de https://repositorio.uniandes.edu.co/handle/1992/16431
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