Numerical analysis of a reaction–diffusion susceptible–infected–susceptible epidemic model

Liu, X.; Yang, Zhanshan

doi:10.1007/s40314-022-02113-9

Cited by 8 publications

(1 citation statement)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the similarity between the dissemination process of public opinion online and the spread of infectious diseases, Daley et al pioneered the classification of populations in 1965, dividing them into three categories: the uninformed, the disseminators of rumors, and recipients who have been exposed to rumors but do not propagate them, and studied the dynamics of rumor propagation. Subsequently, numerous scholars have applied principles and methods of dynamics to study the dissemination patterns and developmental trends of public opinion and rumors [1][2][3][4][5][6][7][8][9][10][11][12][13][14], providing a scientific basis for formulating strategies to control the spread of rumors.…”

Section: Introductionmentioning

confidence: 99%

Hopf Bifurcation Research of University Network Public Opinion Propagation Model with Time Delay

Li,

2024

JAMC

View full text Add to dashboard Cite

The dissemination of online public opinion in universities has always been a hot topic of concern, mainly revolving around issues such as academic misconduct, ethical conduct of faculty and staff, and campus safety, which are fermenting and spreading within the scope of universities. Strengthening the management of online public opinion in universities, studying the dissemination patterns and development trends of public opinion and rumors, and guiding college students to maintain a firm stance and distinguish right from wrong are of great significance. This article investigates the dynamic behavior of a university network public opinion dissemination model with a time delay. Firstly, the conditions for the existence of a positive equilibrium point in the model were discussed, and the local stability of the equilibrium point was analyzed. Applying the central manifold theorem and regularization theory, the study examined the sufficient conditions for Hopf bifurcation at this equilibrium point. It also discussed the stability and directionality of the periodic solution resulting from the bifurcation. Finally, the theoretical results were validated through numerical simulation, and the conclusions drawn have practical application value, providing a scientific basis for formulating strategies to control the spread of rumors.

show abstract