Basic reproduction number of SEIRS model on regular lattice

Area of Science:

• Epidemiology
• Mathematical Biology
• Network Science

Background:

• Understanding epidemic dynamics requires accurate calculation of the basic reproduction number (R0).
• Previous studies on lattice models have yielded varying R0 values.
• The derivation method for R0 can influence the predicted epidemic outbreak threshold.

Purpose of the Study:

• To derive the basic reproduction number (R0) for an SEIRS model on a regular lattice.
• To compare the newly derived R0 with those from existing epidemic models on lattices.
• To analyze discrepancies arising from different R0 derivation methodologies.

Main Methods:

• Utilized the next-generation matrix approach for R0 calculation.
• Applied the method to a susceptible-exposed-infectious-removed-susceptible (SEIRS) model.
• Focused on a regular lattice spatial structure.

Main Results:

• A straightforward derivation of R0 for the SEIRS lattice model was achieved.
• The calculated R0 differs from previously reported values for similar lattice models.
• Identified derivation methods as a potential source of R0 variation.

Conclusions:

• The choice of R0 derivation method significantly impacts results in lattice-based epidemic models.
• This study provides a new R0 value for the SEIRS lattice model, aiding comparative analysis.
• Further investigation into methodological differences is crucial for robust epidemic threshold determination.