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Question 3 (30 MARKS) The population densities of two species are modelled by the equations = 4x(x + 1) (1 - 0) - - dx
Question 3 (30 MARKS) The population densities of two species are modelled by the equations = 4x(x + 1) (1 - 0) - - dx dt dy dt -Sy + xy where s > 0 is a parameter. (a) Give a biological interpretation of each of the terms of the equations. (b) Make nullcline diagrams for the model and identify the equilibria for the cases s > 4 and s 0. Question 3 (30 MARKS) The population densities of two species are modelled by the equations = 4x(x + 1) (1 - 0) - - dx dt dy dt -Sy + xy where s > 0 is a parameter. (a) Give a biological interpretation of each of the terms of the equations. (b) Make nullcline diagrams for the model and identify the equilibria for the cases s > 4 and s 0
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