Turing pattern induced by the directed ER network and delay.
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.
Keywords
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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