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We consider a competition system with lethal boundary conditions in advective environments. To obtain the combined effects of diffusion and advection on the local and global dynamics of the competition system, we employ the principal spectral theory and the theory of monotone dynamical systems. We find that the function describing advective direction plays a significant role in the global dynamics of the competition system. [ABSTRACT FROM AUTHOR]

In traditional supply chain finance, the financing of enterprise mainly relies on the credit segmentation of the core enterprise, resulting in a short trust transmission radius and poor financing ability. The development of Internet technology, while expanding financing channels, has also seen an increasing severity in issues such as information fraud and data breaches, which has further aggravated the trust crisis in supply chain finance. This paper integrates blockchain technology into the industrial internet platform and analyzes the applicability of both in empowering supply chain financial trust. Then a supply chain financial trust framework, which emphasizes information sharing, data security, and trust circulation, is proposed. Furthermore, combined with the theories of Funk-SVD and entropy value, this paper designs a global trust evaluation mechanism that facilitates the trust circulation in supply chain finance and proposes a recommendation algorithm for global trust. With the testing conducted using the Epinions dataset, it is found that the algorithm proposed in this paper has a strong data dimensionality reduction and concentration ability, especially for large sample data, it can obtain more accurate evaluation values with less space occupation, thus enhancing the trust circulation ability of supply chain finance. Finally, the paper puts forward specific policy recommendations for the implementation of the supply chain finance information mechanism, aiming to better improve the financing accessibility of enterprises in supply chain, particularly small and medium-sized enterprises. [ABSTRACT FROM AUTHOR]

We investigate a two-species competition model in advective homogeneous environments. We assume that the two species are identical except their diffusion rates and advection rates. It is worth noting that the Neumann boundary condition is assumed at upstream end, meanwhile, there is always a net loss of individuals incurred by water flow or both water flow and diffusive movements at downstream end. Our results show that when the downstream loss is large (incurred by both water flow and diffusive movements), the species adopting both slower diffusion and advection can be favorable or unfavorable depending on the gap between two diffusion rates. When the downstream loss is small (incurred by water flow alone), the species adopting a combination of faster diffusion and weak advection will persist while the movement of faster diffusion and advection can be favorable or unfavorable for species to survive depending on the gap between two advection rates. [ABSTRACT FROM AUTHOR]

Taking 21700 lithium ion battery pack as the research object, the finite element simulation was carried out by controlling the changes of battery spacing, convective heat transfer coefficient, and Phase Change Material (PCM) thermal conductivity of lithium battery with different arrangement. The effects of cell spacing, convective heat transfer coefficient and PCM thermal conductivity on the temperature field of different battery arrays Rectangular, Quadrilateral, and Hexagonal Arrangement with phase change BTMS were studied. The results showed that when the battery spacing was 4 mm and 6 mm, the three had approximate maximum temperature, and when the battery spacing was 2 mm and 1 mm, the maximum temperature of the Rectangular Arrangement was the largest, for example, the maximum temperature rise of the Rectangular Arrangement was 105.86% and 108.25% of the Quad-rilateral Arrangement and Hexagonal Arrangement, respectively. However, the temperature differences of the three components tended to decrease with the increase of the spacing. With different convective heat transfer coefficients, the maximum temperature of Rectangular Arrangement was always the largest while that of Quadrilateral Arrangement was the smallest. With the increase of convective heat transfer coefficient, the temperature difference among the three showed a trend of increasing. With the increase of the thermal conductivity of PCM, the maximum temperature of the three gradually decreased with a decreasing rate. With the five different thermal conductivity of PCM, the average maximum temperature rise of Rectangular Arrangement was 105.31% and 106.02% of that of Quadrilateral Arrangement and Hexagonal Arrangement, and the temperature difference of latent heat storage stage of the three decreased. In the sensible heat stage, the temperature difference between Rectangular Arrangement and Hexagonal Arrangement was not affected, but the temperature difference of Quadrilateral Arrangement increased continuously. Considering the highest temperature and temperature difference, the Hexagonal Arrangement lithium battery pack had the best thermal performance with PCM thermal management. [ABSTRACT FROM AUTHOR]