The New Approach to Warranty and Service Contracts

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The model base parameters are

  =1/65;   =0.1;   =1/5;   =1/5;  p1=0.5; p2=0.5;  b=0.05;  u1=0;u2=0;u3=0;

Bifurcation analysis

The MATLAB software MATCONT is used to perform the bifurcation calculations. Bifurcation analysis deals with multiple steady-states and limit cycles.  Multiple steady states occur because of the existence of branch and limit points.  Hopf bifurcation points cause limit cycles.  A commonly used MATLAB program that locates limit points, branch points and Hopf bifurcation points is MATCONT^11,12.  This program detects Limit points (LP), branch points (BP) and Hopf bifurcation points(H) for an ODE system

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