Ecology of infectious diseases I Flashcards
Infectious disease is
the product of an interaction between two species; the pathogen and the host
The host is a
resource for the pathogen
y
proportion of the population that are infectious
Give the equation for the tate of change of proportion of the population that are infectious
dy/dt = lambda(1-y) - mu x y
OR
dy/dt = By(1-y) - mu x y
lambda
force of infection
force
per capita risk
B in equation
y / lambda
B in words
a combination of parameters relating risk of infection to prevalence of infection
Give the equation for B in directly transmitted pathogens
B = beta x N
N
population size
Beta
probability of transmission
For directly transmitted pathogens, lambda =
beta x Ny
Give the equation for lambda for sexually transmitted infections
lambda = c x beta x y
where y = the probability a partner is infected
and beta is the per partnership probability of infection
c
average no. of partners
Give the equation for lambda for vector-borne pathogens
lambda = ma^2bcHy
m =
number of vectors per host
a =
biting rate
b =
proportion of infectious bites leading to infection
c =
proportion of bites on infectious hosts leading to infection
H =
average lifespan of vector