Modeling the initial transmission dynamics of influenza A H1N1 in Guangdong Province, China
“…Epidemiological mathematical models have proven to be a valuable tool for understanding, analyzing influenza virus infection dynamics, disseminating and recommending control strategies. Although [2][3][4][5][6] has completed a great deal of work on dynamic modeling of influenza, it is limited to ordinary differential equations. However, currently, it has been found that the use of fractional differential equations to model many different fields of phenomena has been very successful [7][8][9][10][11][12][13][14][15][16][17][18].…”
Section: Introductionmentioning
“…The system state is made up of S, E, I, A, R, C. The constants used in this model are the same like in Tan et al 20 The above system is equivalent to Volterra type, where the integral is that of Atangana-Baleanu fractional integral. We shall recall that the Atangana-Baleanu fractional integral of a function f (t) is the average of the function f (t) and the Riemann-Liouville fractional integral.…”
Section: 12mentioning
“…Surveys relating to in uenza can incorporate different methodologies. For example, cross-sectional serological studies are used to explore the response to immunity before and after an in uenza outbreak [16], to estimate the proportion of symptomatic infected cases [17], and to estimate in uenza infection rates [18]. Serological studies are also popularly used in epidemiology to understand various characteristics related to outbreaks as well as the main predictors related to an individual's risks in acquiring the in uenza [19].…”
Section: Introductionmentioning
“…In addition, these Spanish data are being used to understand the mechanisms of the spread of seasonal in uenza. Tan et al (2013) found that surveys provided useful information about key epidemiological parameters in relation to seasonal in uenza [17].…”
Section: Introductionmentioning