Limiting the spread of disease through altered migration patterns.

Area of Science:

• Epidemiology
• Mathematical Modeling
• Population Dynamics

Background:

• Epidemics spread within and between geographically distinct populations.
• Disease transmission occurs via contact and infected individual migration.

Purpose of the Study:

• To model epidemic spread in spatially structured populations.
• To identify strategies for susceptible individuals to limit initial epidemic growth.
• To minimize the basic reproduction number and overall epidemic impact.

Main Methods:

• Developed a mathematical model for disease spread in distinct locations.
• Analyzed the impact of susceptible individual distribution on epidemic growth rates.
• Investigated strategies to minimize the basic reproduction number.

Main Results:

• Identified a distribution for susceptible individuals that minimizes epidemic growth rate.
• Demonstrated that this strategy also minimizes the basic reproduction number.
• Showed optimality in terms of epidemic extinction probability and total size.

Conclusions:

• Collective action by susceptible individuals can effectively control early epidemic spread.
• Optimizing distribution is key to minimizing disease transmission and impact.
• The proposed strategy offers a robust approach to epidemic mitigation.