Study of spreading phenomenon in network population considering heterogeneous property

In practice, it is well known that the environment plays an essential role in affecting personal opinions regarding epidemics. In this paper, we assume that personal recovery rate from infected state varies and corresponding recovery value is affected by the number of aware and susceptible neighbors while this is referred to as resource for simplicity. A tunable factor, i.e., α, is introduced indicating the rate of resource utilization, while this parameter is adopted to characterize the effect of neighbors to individual’s recovery rate. For simplicity, the UAU-SIS model is adopted to study the spreading phenomenon. Later, extensive Monte Carlo simulations are conducted; for comparison, theoretical results are also derived through microscopic Markov chain approach. Regardless of the considered network topology, we can easily find that the obtained results are consistent from the epidemic level. Furthermore, the fraction of infected individuals or aware individuals seems to increase with the increase of resource utilization rate. This is incurred by the fact that a larger recovery rate will be obtained for higher resource utilization rate. We also devote our efforts deriving the epidemic spreading threshold while the threshold value decreases for larger. Thus, we can conclude that the resource utilization rate plays a negative role in eliminating epidemics. We hope the findings here can contribute the understanding about spreading phenomenon in network population given heterogeneous recovery rate.