Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility

Author(s):  
Xue Li ◽  
Liangchen Wang ◽  
Xu Pan
Keyword(s):  
Processes ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 655
Author(s):  
Huanhuan Zhang ◽  
Jigeng Li ◽  
Mengna Hong

With the global energy crisis and environmental pollution intensifying, tissue papermaking enterprises urgently need to save energy. The energy consumption model is essential for the energy saving of tissue paper machines. The energy consumption of tissue paper machine is very complicated, and the workload and difficulty of using the mechanism model to establish the energy consumption model of tissue paper machine are very large. Therefore, this article aims to build an empirical energy consumption model for tissue paper machines. The energy consumption of this model includes electricity consumption and steam consumption. Since the process parameters have a great influence on the energy consumption of the tissue paper machines, this study uses three methods: linear regression, artificial neural network and extreme gradient boosting tree to establish the relationship between process parameters and power consumption, and process parameters and steam consumption. Then, the best power consumption model and the best steam consumption model are selected from the models established by linear regression, artificial neural network and the extreme gradient boosting tree. Further, they are combined into the energy consumption model of the tissue paper machine. Finally, the models established by the three methods are evaluated. The experimental results show that using the empirical model for tissue paper machine energy consumption modeling is feasible. The result also indicates that the power consumption model and steam consumption model established by the extreme gradient boosting tree are better than the models established by linear regression and artificial neural network. The experimental results show that the power consumption model and steam consumption model established by the extreme gradient boosting tree are better than the models established by linear regression and artificial neural network. The mean absolute percentage error of the electricity consumption model and the steam consumption model built by the extreme gradient boosting tree is approximately 2.72 and 1.87, respectively. The root mean square errors of these two models are about 4.74 and 0.03, respectively. The result also indicates that using the empirical model for tissue paper machine energy consumption modeling is feasible, and the extreme gradient boosting tree is an efficient method for modeling energy consumption of tissue paper machines.


Author(s):  
Lucia Mangiavacchi ◽  
Luca Piccoli

AbstractThis paper studies the distribution of resources within Albanian families in 2012 using a collective consumption model with two alternative specifications: the first enables the estimation of the intrahousehold distribution of resources among male adults, female adults and children; the second extends the analysis to girls and boys. In line with previous evidence on gender inequality in Albania, the results show that the female share of resources is substantially lower with respect to the male share, and that sons receive a larger share of resources than daughters. Considering that Albania experienced massive migration and return of young men in the 20 years before the survey, we further analyze the potential migration-induced transfer of gender norms. We find that the time spent abroad by the husband of the main couple has little influence on woman’s relative position within the households, however it does seem to favor a more equal treatment between daughters and sons. This result suggests that gender norms are more persistent in adult couples, however gender attitudes towards offspring are more elastic to social change.


Author(s):  
Jung-Sing Jwo ◽  
Jing-Yu Wang ◽  
Chun-Hao Huang ◽  
Shyh-Jon Two ◽  
Hsu-Cheng Hsu

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