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Consider the Lotka-Volterra competition between species model: dNV = aN (1-NJ)-bN N 2 dN di =CN,(1-N,)-dNN, This system has four equilibrium points (steady-states). You can

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Consider the Lotka-Volterra competition between species model: dNV = aN (1-NJ)-bN N 2 dN di =CN,(1-N,)-dNN, This system has four equilibrium points (steady-states). You can find these by setting the left hand side of the above two equations to zero. A "steady-state", as the name suggests is a state that does not change over time. Steady-state corresponds to setting the left hand side of the two equations to zero (i.e., we assume that time derivatives of M and Nz both vanish). This changes the set of differential equations to algebraic equations. Identify the values of Ni and N2 that correspond to steady- states

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