Research On Vaccination Game Based On Complex Network

Since 2019,the global outbreak of COVID-19 has made experts and scholars in various fields once again focus on the spread of infectious diseases.In this paper,from the perspective of complex networks,based on different network topology relationships,combined with evolutionary game theory,considering different edge relationships between individuals and virus evolution,following the research ideas of model construction,theoretical analysis and simulation,the dynamics of infectious disease transmission and individual vaccination behavior are explored.The main innovation of this paper is to consider the three different contact relationships caused by the aggregation behavior of individuals in the process of disease transmission and the influence of the mutation behavior of pathogens on the individual vaccination strategy in the immune game,and to study the topological characteristics of different networks.The specific content mainly includes the following two aspects :Firstly,considering the clustering behavior of individuals,we study the spreading dynamics of SIS(Susceptibility-infection-susceptibility)infectious diseases are in the revised activity-driven network(ADN).The association between individuals is divided into three categories : strong association(SLs),the first type of weak association(FWLs)and the second type of weak association(SWLs).Based on the mean-field approximation,we theoretically calculate the epidemic threshold when the strong connection topology is homogeneous or heterogeneous.The epidemic threshold gradually decreases with the increase of m value,and the final infection density gradually increases with the increase of m or individual average activity rate.By comparison,we find that the heterogeneous strong link structure is more conducive to the spread of infectious diseases.Finally,some numerical examples are given to support the theoretical results.Secondly,the global pandemic of COVID-19 warns that pathogens are constantly evolving as the epidemic spreads.Therefore,we assume that the pathogen will mutate with a certain probability,the transmission speed of the mutant strain increases,the cost of infection decreases,and the vaccination is only immune to the original strain and ineffective for the mutant strain,that is,the virus mutation will increase the cost of vaccination.A large number of numerical simulations show that in addition to the virus mutation rate,the vaccination rate will gradually decrease with the increase of mutant transmission rate and vaccination cost.In this paper,we only consider one mutation of the virus,but the reality is not the case.The virus mutation in the new coronavirus epidemic is always throughout,so subsequent studies can consider multiple mutations of the virus.