Differentiating Contact with Symptomatic and Asymptomatic Infectious Individuals in a SEIR Epidemic Model

Area of Science:

• Epidemiology
• Mathematical Modeling
• Infectious Disease Dynamics

Background:

• Understanding disease transmission dynamics is crucial for public health.
• Asymptomatic individuals play a significant role in the spread of infectious diseases.
• Existing models may not fully capture the nuances of asymptomatic transmission.

Purpose of the Study:

• To introduce a novel Erlang-distributed SEIR model.
• To incorporate asymptomatic spread through a subdivided exposed class.
• To analyze the impact of key parameters on disease progression.

Main Methods:

• Developed an Erlang-distributed compartmental model (SEIR).
• Distinguished between asymptomatic and symptomatic infectious cases within the exposed class.
• Identified and analyzed parameters for relative infectiousness and asymptomatic transition.

Main Results:

• The model quantifies the impact of asymptomatic transmission.
• Lower relative infectiousness and asymptomatic percentages reduce peak disease magnitude and duration.
• Isolation measures are shown to be effective in mitigating outbreaks.

Conclusions:

• The developed SEIR model provides a framework for studying diseases with asymptomatic spread.
• Effective control strategies must address both symptomatic and asymptomatic transmission routes.
• Public health interventions should consider the identified key parameters for optimal impact.