Question: Please solve the following problem analytically and with Matlab code Consider the following model. x=Bx1+qx2xyy=A1+qx2xyA>0B>0q>0 Investigate the dynamics of this model. Write a MATLAB code

Please solve the following problem analytically and with Matlab code

Consider the following model. x=Bx1+qx2xyy=A1+qx2xyA>0B>0q>0 Investigate the dynamics of this model. Write a MATLAB code to find all the fixed points and classify them. Consider the nullclines and try to construct a trapping region. Can you find conditions on A,B,q under which the system has a stable limit cycle? Use numerical integration, the Poincare-Bendixson theorem, results about Hopf bifurcations

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