Abstract—On the premise that both susceptible and exposed individuals in incubation period are asymptomatic, in this paper, we establish epidemic models with compulsory testing or voluntary testing to study the impact of susceptible and exposed individuals’ testing rate on the emerging infectious diseases. Results show that when compulsory testing is performed on individuals, sometimes the testing rate of susceptible and exposed individuals can be increased to prevent epidemic from spreading among the population. Sometimes both the testing rate of susceptible, exposed and symptomatic infected individuals need to reach a certain level, and sometimes it can be achieved by increasing the testing rate of symptomatic infected individuals. When individuals take voluntary testing, if individuals think the risk of epidemic is low, increasing the individual’s trust in medical treatment is conducive to increasing the testing number of exposed individuals. However, if individuals think the risk is high, the change in medical trust can not affect the testing number of exposed individuals. Comparing these two models, it is interesting to note that the epidemic size corresponding to average testing rate of voluntary testing is almost the same as the epidemic size corresponding to the same testing rate of compulsory testing, reflecting the effectiveness of voluntary testing. 
 

Keywords—susceptible and exposed individuals, testing behavior, emerging infectious diseases, epidemic model, game theory

Cite: Jiajun Ding, Liyan Gao, Qiuhui Pan, and Mingfeng He, "The Impacts of Testing Susceptible and Exposed Individuals on Emerging Infectious Diseases with Infectiousness in Incubation Period," International Journal of Pharma Medicine and Biological Sciences, Vol. 13, No. 3, pp. 96-103, 2024.

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