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The interaction between two species can be modelled by the planar system . N1 N = TN 1 1 1 1[ K1+512N2J . N2 N = TN 1, 2 2 2[ K2+521N1] where T1, T2,K1, K2,b12, (921 > 0 (a) Discuss the biological meaning of model (i.e. what type of interactions are described). (b) Rescale the equations by using the new variables and parameters 331 = N1/K1, $2 = Nz/Km 'T = t, T = TZ/Tla 012 = b121(2/K1 021 = b211(1/K2- (c) Find all the possible steady states of the rescaled system and discuss their biological meaning. Write down the condition for existence of the interior steady state. ((1) Find the condition on the parameters for the interior state to be linearly stable. Comment on this in relation to your answer to part (c). (e) Sketch the phase portrait of the system for the possible different behaviours explaining how you obtained it in each case