| During an outbreak of epidemics,changes in human behavior interact with the spread of the epidemic.In this paper,we combine the spread of epidemic with the background of public goods game,use the modified replication equation to describe the change of the proportion of individuals who take protective measures during the period of iepidemic,and establish a coupling model between behavior change and the spread of infectious diseases.The protection effect and cost in the system are simulated numerically.The first chapter introduces the research background and main work of this paper and the second chapter introduces the preparatory knowledge used in this paper.The simulation results of chapter three show that when the protection cost is low and the protection effect is good,the change of the protection cost and the protection effect has a more significant effect on reducing the infection ratio.When the protection cost is low,increasing the protection effect can greatly reduce the infection ratio,but when the protection cost is large,increasing the protection effect has little effect on the infection ratio.In addition,when the protection effect is good,the change of the protection cost has a significant impact on the infection ratio,and the protection effect drops to a certain value,the infection ratio is the same under different protection costs.In the fourth chapter,the simulation results show that If the protection effect is good enough and the protection cost is small,the infection ratio is 0.There are two situations in which the protective effect affects the cooperation ratio,When the protection cost is small,the cooperation ratio increases first and then decreases with the decrease of the protection effect.When the protection cost is large,the cooperation ratio decreases monotonically with the decrease of the protection effect.But the effect of changes in protection on infection rates is monotonous.In addition,the cooperation ratio decreases and the infection ratio increases with the increase of protection cost.When the cooperation ratio approaches 0,the infection ratio reaches the maximum.In conclusion,if the effectiveness of protection is reduced,only when the cost of protection is reduced can cooperation be promoted and the final infection scale be reduced.This work helps to investigate the relationship between human protective decisions and the spread of epidemic. |
