Non-fractional and fractional mathematical analysis and simulations for Q fever

Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives

“…The Atangana-Baleanu derivative gave us reduced number of infections over time, relative to Caputo and Caputo-Fabrizio derivative. Asamoah et al [55] also recorded similar trend in the behavior of the AB derivative, when comparing simulations using the three fractional derivatives for a Q fever disease. Similar trend is observed for the classes of individuals who have recovered from SARS-CoV-2 and dengue as well as the population of susceptible vectors, as depicted by Figs.…”

Fractional-Order Ebola-Malaria Coinfection Model with a Focus on Detection and Treatment Rate

“…This is because most often differential operators that are found in these equations or models are associated with memory dynamics, which can be seen in biological and engineering systems [4]. The Mittag-Leffler kernel derivative has recently been utilised to mimic a variety of real-world occurrences, for example [5,6], using the three fractional derivatives, the authors of [7] analysed the dynamics of the Q fever epidemic. From their research, they deduced that, unlike the integer order, the trajectories of some fractional orders converge to the same endemic equilibrium point.…”

Fractional order epidemiological model of SARS-CoV-2 dynamism involving Alzheimer’s disease

“…Not surprisingly, fractional-order models are commonly used in epidemiology to understand the complexity of infectious diseases. In the realm of mathematical biology, the Caputo–Fabrizio (CF) fractional-order operator has been used over Atangana-Beleanu, beta derivatives, and a few more to design numerous epidemiological models such as dengue fever, smoking, tuberculosis, measles, Ebola, and other diseases, as shown in [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] . For instance, in [31] , the authors discussed a novel model of human liver where CF fractional operator were used and concluded that when the operator reduce from 1, the rate of infection reduces.…”