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

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

Identyfikatory

DOI

10.2478/jaiscr-2025-0015

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

cross diffusion; turing instability; virus propagation; spatiotemporal pattern

• Wydawca: University of Social Sciences
• Czasopismo: Journal of Artificial Intelligence and Soft Computing Research
• Rocznik: 2025
• Tom: Vol. 15, No. 3
• Strony: 299--314
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Zhang Guangyong

• Department of General Education, Wuxi University, 214105 Wuxi, China

• https://orcid.org/0000-0002-9163-0889

autor

Zhang Jiahui

• College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, 210023 Nanjing, China

• https://orcid.org/0009-0000-2862-9909

autor

Dymova Ludmila

• Information Technology Institute, SAN University, 90-113 Łodź, Poland

• https://orcid.org/0000-0002-5387-9990

autor

Zhou Ying

• College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, 210023 Nanjing, China

• https://orcid.org/0000-0002-7848-4987

autor

Li Hua

• College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, 210023 Nanjing, China

• https://orcid.org/0009-0006-4907-7158

autor

Xiao Min

• College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, 210023 Nanjing, China

• https://orcid.org/0000-0002-8992-153X

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).