Consider the following model for two competing species, with densities X() and Y(f), given by the...

 

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Consider the following model for two competing species, with densities X() and Y(f), given by the differential equations dX dt dy = X(B-GY-dX), =Y(B-CX-dY) dt a. What type of growth for each population have we assumed here? [1 marks[ b. Find all the equilibrium points for the system of differential equations above. c. Describe the scenario for each equilibrium point. [10 marks] [4 marks] d. Given the parameter values: B=3,B=3,c =2,c, =1,d = 2,d, = 2.5 What are the carrying capacities for each of the species, evaluated for the given parameter values? [5 marks] Consider the following model for two competing species, with densities X() and Y(f), given by the differential equations dX dt dy = X(B-GY-dX), =Y(B-CX-dY) dt a. What type of growth for each population have we assumed here? [1 marks[ b. Find all the equilibrium points for the system of differential equations above. c. Describe the scenario for each equilibrium point. [10 marks] [4 marks] d. Given the parameter values: B=3,B=3,c =2,c, =1,d = 2,d, = 2.5 What are the carrying capacities for each of the species, evaluated for the given parameter values? [5 marks]