A linear uncertain pharmacokinetic model driven by Liu process

The establishment of uncertain single pendulum equation and its solutions *

“…Furthermore, Liu and Chen [9] presented the theorem and conditions for the existence and uniqueness of solutions for UDEs. Currently, UDEs have found extensive applications in various areas including uncertain finance (Zhang et al [10], Yang et al [11], Yang and Ke [12]), chemical modeling (Tang and Yang [13]), epidemiological modeling (Jia and Chen [14], Chen et al [15], Lio and Liu [16], Li and Teng [17]), pharmacokinetic modeling (Liu and Yang [18], Liu and Yang [19]), and heat conduction (Feng and Guo [20], Yang [21], Ye [22]).…”

Analysis of the Number of Students in General Colleges and Universities in China with Uncertain Statistics

“…In order to find the reasonable research tools, as an important branch of uncertainty theory, the uncertain statistics was founded by Liu [9] in 2010 for collecting, analyzing, and interpreting data based on uncertainty theory. At present, there have been fruitful research results in both theory and practice of uncertain statistics, and uncertain statistics have been successfully applied in many fields such as epidemic spread [17], China's population [11] [23], China's birth rate [32], pharmacokinetics [19] and interest rate [26]. This paper mainly focuses on the research progress in the applications of uncertain statistics to three types of uncertain models including uncertain time series analysis, uncertain regression analysis, and uncertain differential equations based on observed data.…”

Modeling China's Per Capita Disposable Income by Uncertain Statistics

“…For the purpose of avoiding this problem, the residual of uncertain differential equation corresponding to the observed data was defined by Liu and Liu [27], and new methods based on residuals were proposed (Liu and Liu [27], Liu and Liu [25]). Until now, a series of real-world observed data have been modeled by uncertain differential equation, such as cumulative number of COVID-19 infections in China (Lio and Liu [19], Chen et al [20], Jia and Chen [11]), plasma folate concentration (Liu and Yang [29]), noise in circuit system (Liu [24]), noise in chemical reaction (Tang and Yang [8]), Alibaba stock price (Liu and Liu [27]), natural gas prices (Mehrdoust et al [7]), and US Dollar to Chinese Yuan exchange rate (Ye and Liu [13]).…”