Created
May 11, 2013 13:12
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def rabbitGrowth(): | |
""" | |
rabbitGrowth is called once at the beginning of each time step. | |
It makes use of the global variables: CURRENTRABBITPOP and MAXRABBITPOP. | |
The global variable CURRENTRABBITPOP is modified by this procedure. | |
For each rabbit, based on the probabilities in the problem set write-up, | |
a new rabbit may be born. | |
Nothing is returned. | |
""" | |
global MAXRABBITPOP | |
global CURRENTRABBITPOP | |
numRabbits = CURRENTRABBITPOP | |
# print 'initial', numRabbits | |
for r in range(CURRENTRABBITPOP): | |
pRabbitReproduction = 1 - (numRabbits / float(MAXRABBITPOP)) | |
# if r < 10: print pRabbitReproduction, | |
if pRabbitReproduction <= 0 or numRabbits == MAXRABBITPOP: | |
CURRENTRABBITPOP = MAXRABBITPOP # they may require numRabbits | |
break | |
if random.random() <= pRabbitReproduction: | |
numRabbits += 1 | |
CURRENTRABBITPOP = numRabbits | |
return | |
def foxGrowth(): | |
""" | |
foxGrowth is called once at the end of each time step. | |
It makes use of the global variables: CURRENTFOXPOP and CURRENTRABBITPOP, | |
and both may be modified by this procedure. | |
Each fox, based on the probabilities in the problem statement, may eat | |
one rabbit (but only if there are more than 10 rabbits). | |
If it eats a rabbit, then with a 1/3 prob it gives birth to a new fox. | |
If it does not eat a rabbit, then with a 1/10 prob it dies. | |
Nothing is returned. | |
""" | |
global MAXRABBITPOP | |
global CURRENTRABBITPOP | |
global CURRENTFOXPOP | |
numRabbits = CURRENTRABBITPOP | |
numFoxes = CURRENTFOXPOP | |
pFoxReproduction = 1 / 3.0 | |
pFoxDeath = 0.10 | |
for r in range(CURRENTFOXPOP): | |
pFoxEats = numRabbits / float(MAXRABBITPOP) | |
if random.random() <= pFoxEats: | |
if numRabbits > 10: | |
numRabbits -= 1 | |
if random.random() <= pFoxReproduction: | |
numFoxes += 1 | |
else: | |
if random.random() <= pFoxDeath: | |
numFoxes -= 1 | |
CURRENTRABBITPOP = numRabbits | |
CURRENTFOXPOP = numFoxes | |
return | |
def runSimulation(numSteps=200): | |
""" | |
Runs the simulation for `numSteps` time steps. | |
Returns a tuple of two lists: (rabbit_populations, fox_populations) | |
where rabbit_populations is a record of the rabbit population at the | |
END of each time step, and fox_populations is a record of the fox population | |
at the END of each time step. | |
Both lists should be `numSteps` items long. | |
""" | |
r = [] | |
f = [] | |
for n in range(numSteps): | |
# if (n)%5 == 0: print | |
rabbitGrowth() | |
# global CURRENTRABBITPOP | |
# CURRENTRABBITPOP = 1000 | |
# print CURRENTRABBITPOP, | |
foxGrowth() | |
# print n, MAXRABBITPOP, CURRENTRABBITPOP, CURRENTFOXPOP, ' ', | |
# print; print | |
r.append(CURRENTRABBITPOP) | |
f.append(CURRENTFOXPOP) | |
return (r, f) |
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