Chapter 10, Problem 27E

(a).

To determine

To find: The equilibrium solution of the system.

(b).

To determine

To find: The Jacobian matrix of the system.

(c).

To determine

To find: The local stability properties of all biologically feasible equilibria when $K_1>\alpha K_2$ and $K_2<\beta K_1$ .

(d).

To determine

To find: The local stability properties of all biologically feasible equilibria when $K_1<\alpha K_2$ and $K_2>\beta K_1$ .

(e).

To determine

To find: The local stability properties of all biologically feasible equilibria when $K_1<\alpha K_2$ and $K_2<\beta K_1$ .

(f).

To determine

To find: The local stability properties of all biologically feasible equilibria when $K_1>\alpha K_2$ and $K_2>\beta K_1$ .