
The pair of coupled ODEs
is referred to as the LotkaVolterra equation and is supposed to represent the evolution of the populations of a predator and its prey as a function of time. (A, B, C, D are positive constants.)
(a) Which of the variables, x or y, represents the predator? Which represents the prey? What reasons do you have for your choice?
(b) What do the parameters A, B, C, and D represent? Why do you say so?
(c) Are there values for the populations that would lead to a stable solution for both groups?
Last revision 27. December, 2010.