Alternate Spatial Lotka-
Volterra Equations
•
Let
S
i
(
x,y
) be density of the i
th
species (rabbits, trees, seeds, …)
•
d
S
i
/
d
t = r
i
S
i
(1 -
S
i
-
Σ
a
ij
S
j
)
2-D grid:
S
= S
x-
1,
y
+ S
x,y
-1
+ S
x
+1,
y
+ S
x,y
+1
+
a
S
x,y
j
¹
i
where
