Modeling epidemic spread with awareness and heterogeneous transmission rates in networks

Abstract

During an epidemic outbreak in a human population, susceptibility to infection can be reduced by raising awareness of the disease. In this paper, we investigate the effects of three forms of awareness (i.e., contact, local, and global) on the spread of a disease in a random network. Connectivity-correlated transmission rates are assumed. By using the mean-field theory and numerical simulation, we show that both local and contact awareness can raise the epidemic thresholds while the global awareness cannot, which mirrors the recent results of Wu et al. The obtained results point out that individual behaviors in the presence of an infectious disease has a great influence on the epidemic dynamics. Our method enriches mean-field analysis in epidemic models.

Behavioural change models for infectious disease transmission: a systematic review (2010–2015)

“…[42], Larson & Nigmatulina [49], Barrett et al . [58], Kassa & Ouhinou [82], Maharaj & Kleczkowski [134], Schimit & Monteiro [158], Kitchovitch & Lio [184,185], Shang [188]Tully et al . [75], Wells et al .…”

“…The largest category embodies 76 references managing information as a dynamic parameter [3,25,34,40,43,47–50,53,55,60,61,65–68,70,71,74,77,80,82,86,92,94–96,99,100,102,104–109,113,115–117,119–126,128–131,133,134,137,148,149,153,157,161,165,166,168,171–178,184–186,188,189]. In this category, instead of a threshold, the information is a continuous input in the decision-making process of individuals.…”

Synthesizing Marketing, Community Engagement, and Systems Science Approaches for Advancing Translational Research

“…28 Systems science methods offer new opportunities for customizing information about an EBI’s potential benefits and cost to fit a specific context. Systems science-based models, for example, can be used to simulate how an intervention will perform differently across different contexts 29 – such as those depicting infectious disease spread 30,31 and traffic flow patterns, 32,33 among others.…”

Attractors for the Magnetic Bénard Problem

“…We also note that the method presented so far may be potentially applied to the determination of the attractor for certain epidemic models. See for instance [13], [14].…”

“…The authors would like to thank anonymous referee for suggesting them related works [13], [14]. The research has been supported in part by the grants of Japan Society for Promotion of Science (JSPS) (Kakenhi, Nos.…”