If two species are using a common source of food which is in short
supply, the growth of one may deprive the other of its source of food.
Under some conditions the species which grows faster causes the other
to die out.
Two species of grain beetle in a jar, which is supplied some grain each day
Competition between two timber companies developing on a limited area
of growing trees
I = Energy source
Q, Q2 = two populations
K1, K2 = growth rates
K3, K4 = mortality rates
R = I/(1 + K1*Q + K2*Q2)
D1 = K5*R*Q - K3*Q
D2 = K6*R*Q2 - K4*Q2
left: The graph shows the growth of Q and Q2 over a time period.
right: Graph of one population as a function of another.
Source code: Exclus.java
"What if" Experiments:
Think about two populations of competitive species.
Determine what happens if the two populations start with the same
initial numbers, but one has a slightly higher growth rate.
By varying the growth rate and decay rate coefficients, can you find
a set of values which allows for coexistence?