A model for epidemic dynamics in a community with visitor subpopulation.

Area of Science:

• Epidemiology
• Mathematical Biology
• Public Health

Background:

• Traditional epidemic models like SIR and SIS often simplify population structures.
• Communities comprise diverse subpopulations, including transient individuals like short-stay visitors.
• The influence of these transient groups on disease transmission dynamics is not always fully explored.

Purpose of the Study:

• To analyze epidemic dynamics in a community with both residents and short-stay visitors.
• To derive and compare different basic reproduction numbers (R0) based on varying public health policy perspectives.
• To elucidate the mathematical properties and epidemiological significance of these R0 variants.

Main Methods:

• Development of a five-dimensional system of ordinary differential equations.
• Adaptation of established compartmental models (SIR/SIS) to incorporate distinct subpopulations.
• Mathematical analysis of derived basic reproduction numbers.

Main Results:

• The short-stay visitor subpopulation can play a critical role in the persistence and spread of infectious diseases.
• Different public health policy viewpoints lead to distinct mathematical formulations of the basic reproduction number.
• The mathematical characteristics of these R0 variants offer insights into epidemic control strategies.

Conclusions:

• Transient subpopulations, such as short-stay visitors, are essential factors in epidemic modeling.
• Selecting the appropriate basic reproduction number is vital for designing effective public health interventions.
• A nuanced understanding of R0 is necessary for robust disease control in complex community structures.