Consider the system of equations dx / dt = x(4 - x - 5y) dy / dt = y(1 - 4x), taking (x, y) > 0. Write an equation for the (non-zero) vertical (x-)nullcline of this system: (Enter your equation, e.g., y = x.) And for the (non-zero) horizontal (y-)nullcline: (Enter your equation, e.g., y = x) (Note that there are also nullclines lying along the axes.) What are the equilibrium points for the system? Equilibria = (Enter the points as comma-separated (x, y) pairs, e.g., (1, 2), (3, 4).)
Show transcribed image text Consider the system of equations dx / dt = x(4 - x - 5y) dy / dt = y(1 - 4x), taking (x, y) > 0. Write an equation for the (non-zero) vertical (x-)nullcline of this system: (Enter your equation, e.g., y = x.) And for the (non-zero) horizontal (y-)nullcline: (Enter your equation, e.g., y = x) (Note that there are also nullclines lying along the axes.) What are the equilibrium points for the system? Equilibria = (Enter the points as comma-separated (x, y) pairs, e.g., (1, 2), (3, 4).)