On the evolution of the COVID-19 epidemiological parameters using only the series of deceased. A study of the Spanish outbreak using Genetic Algorithms

Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2

“…Several mathematical models have investigated the dynamics of SARS-CoV-2 [7] , [11] , [25] , [38] , [39] , [40] and its strains [10] , [12] , [21] , [46] . Most of the multi-strain SARS-CoV-2 models do not capture randomness.…”

Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive

“…Using mathematical formulations to model the transmission of infectious diseases like COVID-19 is a well-established approach to analysing individuals and their infections in communities. Several studies have been published examining the dynamics of the COVID-19 epidemic worldwide [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [30] , [32] , [35] , [36] , [37] , [38] , [39] , [41] , [42] , [43] , [44] , [45] , [46] , [47] , [48] , [49] , [50] , [52] , [53] , [54] , [55] , [57] , [58] , [59] , [60] , [61] , [62] , [63] , [64] , [65] , [66] , [67] , [68] , [69] , [70] , [71] , [72] , [73] , [74] , [75] , [76] , [77] , [78] , [79] , [80] , [81] , [82] , [83] . Vaccination’s impact on the spread of COVID-19 has been the subject of several articles [40] , [51] .…”

On automatic calibration of the SIRD epidemiological model for COVID-19 data in Poland

“…Recently, several mathematical models have been developed to study spread of SARS-CoV-2 coronavirus and forecasting evolution of the COVID-19 pandemic, see, for example, [10], [1], [18], [4], [14], [2], [12]. Many different approaches to control and decrease number of infections were made by governments resulting, among others, in limiting the virus transmissions.…”

“…Lots of attention was also put to analyze efficiency of modelling by well established epidemiological model (SIR, SEIR, SEIRV, etc. ), and especially, identification of model parameters [15,13,10,1,2] which are crucial for proper model fitting into real data. Moreover, due to rapid increase of computational power in recent years, modern estimation methods allow exploration of model parameters as they appear and progressive update of their values.…”