: The following discrete-time dynamical system models a population of ermine living in Haida Gwaii, British Columbia. m4+1 = 7m 4 + 01m mo = 36404 (a) Find the non-zero equilibrium of this system. (b) Which statement best describes the stability of this equilibrium ? (e) What can we say about the long-term behaviour of this population? (d) What is the per capita production of this system? -: (A) The equilibrium is unstable (B) The equilibrium is stable because the population is greater than 1 (C) The equilibrium is stable because the derivative of the updating function has absolute value less than 1 (D) The equilibrium is stable because the updating function is increasing (E) The stability of the equilibrium cannot be determined using techniques from this course 10(b): Select 1 Part (b) choices. (A) The population decreases to zero (B) The population increases without bound (C) The population oscillates with time (D) The population increases towards the non-zero equilibrium (E) The population decreases towards the non-zero equilibrium #10(c): Select 1 Part (e) choices. (E) 28 (D) (4 +0,01m." 7 4 +0.01 (B) (A) 0.07 (C)- (4 +0.01m,) 4 +00m (4m;' +0.01) #10(d): Select t Part (d) choices