<s>
In	O
mathematics	O
,	O
an	O
integrodifference	B-Algorithm
equation	I-Algorithm
is	O
a	O
recurrence	O
relation	O
on	O
a	O
function	B-Algorithm
space	I-Algorithm
,	O
of	O
the	O
following	O
form	O
:	O
</s>
<s>
where	O
is	O
a	O
sequence	O
in	O
the	O
function	B-Algorithm
space	I-Algorithm
and	O
is	O
the	O
domain	O
of	O
those	O
functions	O
.	O
</s>
<s>
Note	O
that	O
in	O
the	O
definition	O
above	O
,	O
can	O
be	O
vector	O
valued	O
,	O
in	O
which	O
case	O
each	O
element	O
of	O
has	O
a	O
scalar	O
valued	O
integrodifference	B-Algorithm
equation	I-Algorithm
associated	O
with	O
it	O
.	O
</s>
<s>
Integrodifference	B-Algorithm
equations	I-Algorithm
are	O
widely	O
used	O
in	O
mathematical	O
biology	O
,	O
especially	O
theoretical	O
ecology	O
,	O
to	O
model	O
the	O
dispersal	O
and	O
growth	O
of	O
populations	O
.	O
</s>
<s>
Integrodifference	B-Algorithm
equations	I-Algorithm
are	O
most	O
commonly	O
used	O
to	O
describe	O
univoltine	O
populations	O
,	O
including	O
,	O
but	O
not	O
limited	O
to	O
,	O
many	O
arthropod	O
,	O
and	O
annual	O
plant	O
species	O
.	O
</s>
<s>
However	O
,	O
multivoltine	O
populations	O
can	O
also	O
be	O
modeled	O
with	O
integrodifference	B-Algorithm
equations	I-Algorithm
,	O
as	O
long	O
as	O
the	O
organism	O
has	O
non-overlapping	O
generations	O
.	O
</s>
<s>
Metapopulation	O
equations	O
are	O
different	O
from	O
integrodifference	B-Algorithm
equations	I-Algorithm
in	O
the	O
fact	O
that	O
they	O
break	O
the	O
population	O
down	O
into	O
discrete	O
patches	O
rather	O
than	O
a	O
continuous	O
landscape	O
.	O
</s>
