Show the Jacobian matrix of the model.Calculate the Jacobian matrix of the model at an internal equilibrium .

Consider the following model,
dx
dt = x2y −x + ay,
dy
dt = b −ay −x2y,
where x and y are concentrations of chemical substances.
(a) What are nullclines of x and y?
(b) What are equilibria of x and y?
(c) Show the Jacobian matrix of the model.
(d) Calculate the Jacobian matrix of the model at an internal equilibrium .
(e) Calculate the trace and determinant of the Jacobian matrix at the internal
equilibrium.
(f) Show the parameter condition in which the internal equilibrium is unstable.

Is this the question you were looking for? If so, place your order here to get started!