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Turing pattern induced by the directed ER network and delay.
Zheng, Qianqian; Shen, Jianwei; Zhou, Lingli; Guan, Linan.
  • Zheng Q; School of Science, Xuchang University; Henan Joint International Research Laboratory of High Performance Computation for Complex Systems, Xuchang 461000, China.
  • Shen J; School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China.
  • Zhou L; School of Mathematical Sciences, Soochow University, Suzhou 215006, China.
  • Guan L; School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China.
Math Biosci Eng ; 19(12): 11854-11867, 2022 08 17.
Article in English | MEDLINE | ID: covidwho-2237598
ABSTRACT
Infectious diseases generally spread along with the asymmetry of social network propagation because the asymmetry of urban development and the prevention strategies often affect the direction of the movement. But the spreading mechanism of the epidemic remains to explore in the directed network. In this paper, the main effect of the directed network and delay on the dynamic behaviors of the epidemic is investigated. The algebraic expressions of Turing instability are given to show the role of the directed network in the spread of the epidemic, which overcomes the drawback that undirected networks cannot lead to the outbreaks of infectious diseases. Then, Hopf bifurcation is analyzed to illustrate the dynamic mechanism of the periodic outbreak, which is consistent with the transmission of COVID-19. Also, the discrepancy ratio between the imported and the exported is proposed to explain the importance of quarantine policies and the spread mechanism. Finally, the theoretical results are verified by numerical simulation.
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Full text: Available Collection: International databases Database: MEDLINE Main subject: Communicable Diseases / Epidemics / COVID-19 Type of study: Observational study Limits: Humans Language: English Journal: Math Biosci Eng Year: 2022 Document Type: Article Affiliation country: Mbe.2022553

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Full text: Available Collection: International databases Database: MEDLINE Main subject: Communicable Diseases / Epidemics / COVID-19 Type of study: Observational study Limits: Humans Language: English Journal: Math Biosci Eng Year: 2022 Document Type: Article Affiliation country: Mbe.2022553