Name:netid:Quiz 3 Solutions - MATH 1106Consider the following system, that studies the population of Lynx (L) and Rabbits (R)L0=L(2R+L-8)R0=R(R+ 2L-10)A sketch of the nullclines of this system, together with the general direction of its vector field, is shown below1. Indicate clearly in the picture which of the lines are theLand theRnullclines.
2. Identify in the picture all the equilibria of the system, labeling them with numbers 1,2, . . .
3. Classify each of the equilibria that you found.
4. Are there any points in the system that act as attractors? If so, indicate their numbers here (according to