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Population Models

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a) What kind of interactive behaviour between two species with populations N1(t) and N2(t) suggested by the model (see attachment).

b) Non-Dimesionalise the equation (3) and obtain the system (see attachment).

c) Determine the steady states and their stability, taking particular care to list any restrictions on the parameters. Sketch the phase-plane trajectories in the cases when (i), (see attachment).

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Describe the behavior of two species populations from the differential equations given. it starts from converting the equations to non-dimensional and then goes on to find the equilibrium points and their type.

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