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Network virus propagation under planar cross-diffusion : spatiotemporal pattern analysis

Zhang Guangyong, Zhang Jiahui, Dymova Ludmila, Zhou Ying, Li Hua, Xiao Min

Journal of Artificial Intelligence and Soft Computing Research

2025

Vol. 15, No. 3

299--314

An important security problem faced by information networks is virus transmission. The traditional ordinary differential equation models of virus propagation take less consideration of the impact of diffusion factors in computer networks. A few reaction-diffusion models proposed to simulate virus spreading only take into account self-diffusion in onedimensional space. As far as we know, there is not any model considering the crossdiffusion in two-dimensional space. In this paper, a novel virus transmission model with cross-diffusion in two-dimensional space is put forward. The introduction of crossdiffusion terms leads to diverse pattern dynamics and Turing instability in virus transmission, aspects that have not been previously studied. The sufficient conditions of Hopf bifurcation and Turing instability are given. Then, the amplitude equation near the critical value of Turing instability is constructed to identify various space-time patterns, such as spotted pattern, coexistence pattern and striped pattern. Finally, the numerical simulations show the correctness of theoretical analysis.

Influence of diffusion angle on sediment concentration in front inflow forebay of pumping station

Fan Xinjian, Zhang Jiahui, Yao Wei, Dong Chunhai, Wang Lirong, Tian Hao

Ecological Chemistry and Engineering. S

2024

Vol. 31, nr 3

398--409

The numerical simulation and field investigation of solid-liquid two-phase flow are carried out in a large-scale forward intake forebay with various diffusion angles at the Jingtaichuan Pumping Irrigation Project in Gansu Province, China. The purpose is to investigate the properties of sediment deposition in the pumping station forebay. The results indicate that the low-sediment concentration area is in the forebay’s centre, whereas the high-sediment is near the two side walls flanks. The sediment concentration increases dramatically from the centre to the sides. Both the high-sediment concentration area and the sediment concentration increase with water depth. The forebay’s narrowing diffusion angle causes the high-concentration area to gradually decrease while the low-concentration area gradually increase. Furthermore, the amount of siltation and sediment deposition efficiency decrease, resulting in a large increase in forebay sediment concentration and sedimentation efficiency. The sediment concentration and water flow velocity reveal a quadratic polynomial relationship. This study can provide a guide and reference for the design and construction of comparable large-scale pumping station forebays.