Hi,

I have attached few excellent files regarding Routh Hurwitz's stability criterion here for you, try and read them and see the examples, you will understand it very quickly. see the website link too, it is useful.

http://www.facstaff.bucknell.edu/mastascu/econtrolhtml/Stability/Routh.htm

Dear Suman,

here goes a suggestion. First, notice that food chain models are nonlinear, and Rout-Hurwitz is applicable to a constant coefficient polynomial. Hence what can be done is to find the equilibria (fixed points) of the model and linearize it around these points. This is the same as finding the characteristic equation of the model Jacobian matrix evaluated zt the fixed points. Then, finally, you apply the R-H test on such polynomial.  As a result you will have the LOCAL stability conditions for the fixed point unde study (of course you can perform the study for all the equilibria). An interesting remark is that the parameter value for which there is a stable-unstable or vice-versa transition is a bifurcation point of the food-chain model.

Thanks a lot to both of you to update me.The crux of the problem is that I know how to find the conditions for the stability but not how to find the set of parameters for which I will get the stability conditions. I need help to find out the Params. I have no idea about the distributions of the parameters and wondering whether I need to use brute force method or not. Please suggest me.