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We wish to do an experiment to determine if ants search for food using a random search or directed search method. To help design the
We wish to do an experiment to determine if ants search for food using a random search or directed search method. To help design the
experiment we first will run some simulations. In the experiment, ants are placed inside a box. They cannot climb the wall,
but can escape through an opening of size in the wall. Repeated measurements of how far an ant travels in second show an
average speed of per second. Our simulation needs to determine the probability that an ant escapes the box in seconds hint: so
your main iteration would look like for in range if their motion is indeed random. Assume the ant is always initially placed in
the center of the box and simulate a simple random walk in D on discrete time in this fashion: Have the ant live on a discrete lattice. The
ant takes to the left if a random number satisfies The ant moves to the right if the ant moves
mm up if and down if is distributed uniformly between and hint: use
np random. uniform low high to generate it If a step would take the ant into a wall, repeat the step until it is successful
result is still one timestep With attempts linspace run your main iteration under the loop for in
attempts: and construct a dataframe with columns for number of attempts ie M number of escapes, and probability of escape for
every M Your dataframe would eventually look something like this with rows and real values:
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