Epidemic spreading on uniform networks with two interacting diseases

In this paper, we consider a pair of homogeneous diseases spreading concurrently on uniform networks based on the SIS model. A new model describing the transmission process of the interacting diseases is established. The influence of the transmission parameters, the interacting parameter and the initial density value of infected nodes on the epidemic spreading is presented by simulating the transmission process of the proposed model. The mathematical expressions of the conditions among the transmission parameters, the interacting parameter and the network parameter when diseases can exist in the network based on the simplified model are presented. Comparing the transmission process of this interacting model under different intervals of the interacting parameter, it is found that the interacting of the two diseases leads to larger scale prevalence with a relatively larger interacting parameter when the infection breaks out.

[1]  Kazuyuki Aihara,et al.  Impacts of clustering on interacting epidemics. , 2012, Journal of theoretical biology.

[2]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[3]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[4]  R. May,et al.  How Viruses Spread Among Computers and People , 2001, Science.

[5]  Alessandro Vespignani,et al.  Absence of epidemic threshold in scale-free networks with degree correlations. , 2002, Physical review letters.

[6]  Lewi Stone,et al.  Unexpected epidemic thresholds in heterogeneous networks: the role of disease transmission. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Alessandro Vespignani,et al.  Velocity and hierarchical spread of epidemic outbreaks in scale-free networks. , 2003, Physical review letters.

[8]  Andrea Pugliese,et al.  Epidemics in Two Competing Species , 2009 .

[9]  Alessandro Vespignani,et al.  Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[10]  Hui Zhang,et al.  Modeling the effects of social impact on epidemic spreading in complex networks , 2011 .

[11]  Xinchu Fu,et al.  Spreading of epidemics on scale-free networks with nonlinear infectivity , 2009 .

[12]  Gaoxi Xiao,et al.  Epidemics spreading in interconnected complex networks , 2012 .

[13]  Xiao Han,et al.  Disease spreading with epidemic alert on small-world networks , 2007 .

[14]  Alessandro Vespignani,et al.  Dynamical Patterns of Epidemic Outbreaks in Complex Heterogeneous Networks , 1999 .

[15]  Zhi-Hong Guan,et al.  Epidemic spreading on networks with overlapping community structure , 2012 .

[16]  Zhi-Hong Guan,et al.  A stochastic SIR epidemic on scale-free network with community structure , 2013 .

[17]  R. May,et al.  Infection dynamics on scale-free networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  M. Newman.  Threshold effects for two pathogens spreading on a network. , 2005, Physical review letters.

[19]  M. L. Martins,et al.  Epidemic spreading in a scale-free network of regular lattices , 2007 .

[20]  Mark E. J. Newman,et al.  Competing epidemics on complex networks , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.