dx dt dy dt 2x 1 1 2 xy 3y 1 3 2xy a Find the value for each of the six parameters r1 72 K K2 01 02 b Perform nullcline analysis draw all nullclines draw the arrows in each section and across each nullclines indicating if each population increases or decreases find and label each equilibrium use this sketch to label each equilibria as stable or unstable if possible c Determine the stability of the equilibrium at coexistence neither population is extinct by linearizing around that equilibrium Find the Jacobian the matrix of partial derivatives Evaluate the Jacobian at the equilibria in question Either calculate the eigenvalues of this matrix OR use the trace determinant
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