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From their calculations, they
deduced that a disease will persist
in a population whose equilibrium
point (the rate of new additions,
balanced by the natural death rate)
is greater than the combined
effects of natural mortality, disease
deaths, recovery, and transmission
rate. While the disease is present,
that equilibrium point will be lower
than if the population were disease
free. If, however, the equilibrium
point of a population affected by
disease is lower than the combined
effects of deaths, recoveries, and
rate of transmission, the disease
will die out. Once a population is
disease free, its equilibrium point
will return to its former level.
Matching the real world
Anderson and May needed to show
that their model was an accurate
predictor of a real-life population.
They did so by using data from
a study of laboratory mice infected
with the bacterial disease
pasteurellosis; the data included
the impact on the population of
adding individuals at different
rates. The observed data confirmed
their predictions, so the two
scientists were able to consider the
effects of hypothetical values. They
found, for instance, that when the
rate of added mice was highest, the
disease had the greatest impact on
population numbers. This suggests
that species with high reproductive
rates (introducing large numbers
of uninfected offspring) are most
likely to have endemic diseases
within the population, and show
depressed numbers compared with
species that breed more slowly.
They also explored the differing
effects on populations of diseases
of different intensities.
Unlike endemic diseases,
in which the population’s level
of infection remains consistent,
epidemics appear in populations
when the growth rate of all infected
and uninfected members is low
compared to the death rate caused
ECOLOGICAL PROCESSES
by the disease. Infection numbers
rise sharply to a maximum, then
drop away. Epidemics also occur
when a disease is not particularly
deadly but slows the population
growth rate; this has occurred with
human diseases such as measles
and chickenpox.
Applying the theory
The characteristics of disease
and its effects on animal and
plant populations are of increasing
ecological importance. Food
producers, for example, benefit from
studies into the nature of parasites
and the dynamics of diseases that
can affect crops and livestock.
Conservationists also employ
epidemiology to predict how exotic
diseases and invasive parasites
might affect fragile ecosystems. ■
Diseases such as
measles and rubella,
with short infections
and lasting immunity,
will tend to exhibit
epidemic patterns.
Roy Anderson
A pathogen strikes when it finds a suitable host in an
environment that favous infection, as shown where the
circles intersect. For instance, diarrheal diseases spread
quickly among sick people in unsanitary conditions.
Venn diagram of ecological epidemiology
Susceptible host
no
disease
Favorable
environment
for pathogen
Pathogen
no
disease
no
disease
no
disease
no
disease
no
disease
disease
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