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Table 1 Stochastic dynamics of the model

From: The role of cellular immunity in Influenza H1N1 population dynamics

Event Transition Transition
  during Δt rate
Infection of a S s S s−1 s S s N Δt+o(Δt)
susceptible in S s   
Infection of a S p S p −1 s S p N Δt+o(Δt)
susceptible in S p   
Increase in exposed E s E s + 1 s S s N Δt+o(Δt)
class E s   
Increase in exposed E p E p + 1 s S p N Δt+o(Δt)
class E p   
Decrease in exposed E s E s −1 γ s E s Δt + o(Δt)
class E s   
Decrease in exposed E p E p −1 γ s E p Δt + o(Δt)
class E p   
Increase in asymptomatic A s A s + 1 (1−p s )γ s E s Δt + o(Δt)
infection A s   
Increase in asymptomatic A p A p + 1 (1−p p )γ p E p Δt + o(Δt)
infection A p   
Recovery from asymptomatic A s A s −1 α s A s Δt + o(Δt)
infection A s   
Recovery from asymptomatic A p A p −1 α p A p Δt + o(Δt)
infection A p   
Increase in symptomatic I s I s + 1 p s γ s E s Δt + o(Δt)
infection I s   
Increase in symptomatic I p I p + 1 p p γ p E p Δt + o(Δt)
infection I p   
Recovery from symptomatic I s I s−1 α s I s Δt + o(Δt)
infection I s   
Recovery from symptomatic   
infection I p   
  1. Transition events during a Δtperiod of time.