| As one of the most effective means of containing epidemics,vaccination is widely used in various countries and regions.How to reduce the total cost of society while improving the level of vaccination is an important proposition that everyone pays attention to.Individuals who make decisions usually compare their own benefits with those of the learning object,and only when they feel the benefits will they continue to the previous stage of decision-making,otherwise they will change their strategy.We focus on how to make individuals tend to make decisions in a direction that is more beneficial to society as a whole.Therefore,this paper designs two domain extension models,and analyzes how to achieve a small overall disease scale and the lowest total social cost,that is,social decision-making optimization.This article can be divided into the following two parts.Firstly,the dynamic evolution of inoculation behavior in SIRV models is discussed under the two domain extension models.In the method of increasing the number of neighbors,we compare the differences in inoculation evolution brought by three different individual degrees(four,eight,and twelve).The results showed that as the number of neighbors increased,the number of individuals choosing vaccination strategy increased,and the scale of the disease decreased accordingly.In the strategy method of learning long-range individual strategies with a certain probability ρ and learning neighboring four neighbors with a probability of 1-ρ,the inoculation levels of the two methods are compared.The results showed that when the relative cost of vaccination was low,the vaccination level increased as ρ increased,but the increase was not large.When the relative cost of vaccination is close to 1,the vaccination level tends to decrease as ρ increases.Then,we further introduce two subsidy policies: full subsidy,partial subsidy,full subsidy means free vaccination for selected individuals,and partial subsidy is to determine the total amount of subsidy and evenly distribute it to each vaccinated individual,that is,the vaccinated only need to spend part of the cost.This paper analyzes the promotion effect of the two subsidy methods on two different field expansion models.The results show that for the learning method of increasing the number of neighbors,as the proportion of partial subsidies increases,the level of vaccination increases,and the corresponding total social cost also increases.However,as the subsidy ratio approaches 100%,the total social cost will change from decreasing to increasing;For full subsidies,the results are similar.In the case of learning long-range neighbors with probability ρ,when partial subsidies are applied,the change of ρ has an increasing effect on the vaccination level,but the effect is small.The full subsidy has a similar result.First,the dynamical evolution of the inoculation behavior in the SIRV model is discussed under two domain extension models.In the method of increasing the number of neighbors,we successively compare the differences between the evolution of three different individual degrees(four neighbors,eight neighbors,twelve neighbors).The results show that as the number of neighbors increased,the number of individuals choosing the vaccination strategy increased successively,while the disease size decreased accordingly.In the strategy method of learning the long-range individual strategy with a certain probability ρ and the adjacent four neighbors with a 1-ρ probability,the vaccination levels of these two methods were continuously compared.The results showed that when the relative vaccination cost was low,the vaccination level increased with increasing ρ,but the increase was modest.When the relative vaccination cost is close to 1,the vaccination level tends to decrease as ρ increases.Then,we further introduce two subsidy policies: full subsidy,partial subsidy,full subsidy,that is,free vaccination for some selected individuals,and part of the selected subsidy is to determine the total amount of subsidy,evenly distributed to each vaccinated individual,that is,the vaccinator only needs to spend part of the cost.Analyze the promotion effect of two subsidy methods for two different domain extension models.The results show that for the learning mode of increasing the number of neighbors,as the proportion of vaccination increases and the level of some subsidies increases,the corresponding total social cost also increases.But as the subsidy ratio approaches 100%,the total social costs change from decreasing to increasing;for full subsidies,the results are similar.For the case of learning long-range neighbors with probability ρ,the change with ρ improves the inoculation level,but the effect is small.Full subsidies are a similar result.Finally,from the perspective of social cost,by comparing the two learning domain methods,we can find that the promotion effect of increasing the number of neighbors is better than that of learning long-range neighbors.When the relative cost of vaccination is low,some subsidies are better than full subsidies. |
