A reaction-diffusion model to investigate the spread of Aedes
Abstract
In this work, we developed a reaction-diffusion mathematical model to describe the spread ofdengue infection in a two-dimensional domain. In our mathematical model, we took into accountthe interaction between the populations of dengue mosquitoes and humans. [...]Downloads
References
Bendahmane, M. and Chamakuri, N. Numerical analysis for an optimal control ofbidomain-bath model, Journal of Differential Equations, 263(5): 2419–2456, 2017. DOI:10.1016/j.jde.2017.04.001
Esteva, L. and Yang, H. M. Assessing the effects of temperature and dengue virusload on dengue transmission, Journal of Biological Systems, 23(4): 527–554, 2015. DOI:10.1142/S0218339015500278[3] Hager, W. W. and Zhang, H. A new conjugate gradient method with guaranteed descentand an efficient line search, SIAM Journal on optimization, 16(1): 170–192, 2005. DOI:10.1137/030601880
Maidana, N. A.; Yang, H. M. Spatial Model to Describe the Dengue Propagation, TEMA,8(1): 83–92, 2007. DOI: 10.5540/tema.2007.08.01.0083[5] Mapas da Dengue. http://www.dengue.org.br/denguemapas.html [Acessado em 30 de mar ̧code 2020].
Rodrigues, H., Monteiro, M. and Torres, D. Dynamics of Dengue epidemics when usingoptimal control, Mathematical and Computer Modelling, 52(9-10): 1667-1673, 2010. DOI:10.1016/j.mcm.2010.06.034
Silva, L. R. G. e dos Santos, F. L. P. Predi ̧c ̃ao num ́erica do controle mecˆanico na dinˆamicapopulacional dos mosquitos da dengue, Revista Brasileira de Biometria, 36 (2): 316–335, 2018.DOI: 10.28951/rbb.v36i2.185
WHO.Dengue:GuidelinesforDiagnosis,Treatment,PreventionandCon-trol,Geneva:WorldHealthOrganization,1-147,2009.Availableat:https://apps.who.int/iris/handle/10665/44188 [Online; Accessed on February 30, 2020]
Yang, H. M.; Macoris, M. L. G.; Galvani, K. C.; Andrighetti, M. T. M. Dinˆamica de trans-miss ̃ao de dengue com dados entomol ́ogicos temperatura–dependentes, TEMA, 8 (1): 159,2007. DOI: 10.5540/tema.2007.08.01.0159
Yang, H. M.; Macoris, M. L. G.; Galvani, K. C.; Andrighetti, M. T. M.; Wanderley, D. M.V. Assessing the effects of temperature on the population of Aedes aegypti, vector of dengueEpidem. Infect. 137 (8), 1188–1202, 2009. DOI: 10.1017/S0950268809002040
Yang, H. M., Macoris, M. D. L. G., Galvani, K. C. and Andrighetti, M. T. M. Follow up esti-mation of aedes aegypti entomological parameters and mathematical modellings, Biosystems,103(3): 360–371, 2011. DOI: 10.1016/j.biosystems.2010.11.002
