In Python, Develop a model where the prey birth fraction (ks

) is periodic, such as

follows:

ks

= f + a cos(p t), where f, a, and p are constants;

0 < a < f; 0 < f; and t is time.

Note that a is the aitude; the erid is 2/p; and addition of f raises the

graph of a cos(pt) by the amount f. (For a more detailed discussion, see the

section Trigonometric Functions of Module 8.2, Function Tutorial.) Have

a table of population numbers, a graph of populations versus time, and a

graph of one population versus the other. Determine values for the parameters

so that the system is periodic, and then determine values where the system

is chaotic. Discuss your results.