The Effect Of Resources On The Spreading Of Disease In Complex Networks

The development of economics and technologies makes the mobility of population more global,which which increases the risk of people infected with diseases at the same time.Previous studies have shown that the input and rational allocation of resources are of crucial importance to suppressing the outbreak of infectious diseases.Based on the classic SIS disease transmission model,this paper studies the inhibitory effect of pub-lic resources and individual resources on disease transmission by introducing resources into the disease spreading process.In the theoretical research,the evolution equation of individual infection probability is established according to the dynamical message pass-ing method,and then the disease propagation on networks is predicted.In the numerical simulation,synchronous updating spreading process is used to simulate the spreading of disease on random network and scale-free network respectively,and the effects of differ-ent parameters on disease transmission are studied.In order to investigate the role of public resource input and individual resource flow in disease transmission,this paper mainly studies the following two aspects:(1)Suppressing the coinfection of two diseases by investing public resources.In this study,two diseases with different infection rates spread synergistically in the same popu-lation,and public resources suppress the outbreak of diseases by promoting the recovery of patients.Studies shows that there are critical values of public resources for both dis-eases,and the infection densities of both diseases undergo a continuous phase transition around critical values.For different individual contact networks,strong degree hetero-geneity promotes the spreading of both diseases.In particular,there are optimal resource allocation strategies at different resource levels.In addition,as the interaction between two diseases increases,two diseases with different infectivity tend to be homogeneous,(2)Suppressing disease outbreaks by rationally allocating individual resources be-tween prevention and treatment.In this study,an infectious disease spreads in the popula-tion,and healthy individuals suppress disease by self-protection and funding patients.In this scenario,with the increase of disease infection rate,the infection density of disease always undergoes a first-order phase transition on the random network,while the phase transition type transforms from a hybrid phase transition to a first-order phase transition on the scale-free network.Interestingly,there is also a optimal resource allocation between prevention and treatment which can best suppress disease transmission.Simulation results on different networks show that strong degree heterogeneity promotes disease transmission and changes the optimal resource allocation scheme.