Journal ArticleDifferentiating Contact with Symptomatic and Asymptomatic Infectious Individuals in a SEIR Epidemic ModelChebotaeva, Victoria; Srinivasan, Anish; Vasquez, Paula A<title>Abstract</title> <p>This manuscript introduces a new Erlang-distributed SEIR model. The model incorporates asymptomatic spread through a subdivided exposed class, distinguishing between asymptomatic (<inline-formula><alternatives><tex-math>$$\hbox {E}_a$$</tex-math><math><msub><mtext>E</mtext><mi>a</mi></msub></math></alternatives></inline-formula>) and symptomatic (<inline-formula><alternatives><tex-math>$$\hbox {E}_s$$</tex-math><math><msub><mtext>E</mtext><mi>s</mi></msub></math></alternatives></inline-formula>) cases. The model identifies two key parameters: relative infectiousness,<inline-formula><alternatives><tex-math>$$\beta _{{SA}}$$</tex-math><math><msub><mi>β</mi><mrow><mi>SA</mi></mrow></msub></math></alternatives></inline-formula>, and the percentage of people who become asymptomatic after being infected by a symptomatic individual,<inline-formula><alternatives><tex-math>$$\kappa $$</tex-math><math><mi>κ</mi></math></alternatives></inline-formula>. Lower values of these parameters reduce the peak magnitude and duration of the infectious period, highlighting the importance of isolation measures. Additionally, the model underscores the need for strategies addressing both symptomatic and asymptomatic transmissions.</p>Springer Nature2025-03-0110582527Bulletin of Mathematical Biology8730092-8240https://doi.org/10.1007/s11538-025-01416-21751339National Science Foundation