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Table 2 Contrast of similar parameters in the SELIRS and SELDCRS models

From: A genetic epidemiological model to describe resistance to an endemic bacterial disease in livestock: application to footrot in sheep

Model

Symbol

Definition

(1) The number of diseased and infectious animals

SELIRS

I

From state I, animals recover and move to state R (recovered) at rate γ, and hence are no longer infectious

SELDCRS

D

From state D, animals cease showing clinical signs at rate κ but continue to be infectious – this is state C (carrier)

(2) The number of animals that are infectious but do not show clinical signs

SELIRS

 

This does not occur in SELIRS; only animals showing clinical sign are infectious

SELDCRS

C

From state C, animals move to state R (recovered) at rate α, and hence are no longer infectious