In population models how do we find bifurcation points Also

In population models, how do we find bifurcation points? Also, what are the basic principles of determining stability at the steady state points? I am able to solve these questions upto finding the steady state points and the values. But I am not very clear on finding the bifurcation points....especially second and third ones....and also I get confused in interpreting the result with respect to stability. Request help. Any link to a good document on internet will also be useful.

Solution

http://www.sosmath.com/diffeq/first/bifurcation/bifurcation.html

http://www.sosmath.com/diffeq/first/application/population/example2/answer.html..

This two links provide you a good example to understant how do we find bifurcation points in poplation models.

Find below one link which will give you one pdf that might be helpful to understand of Bifurcation Analysis
http://www-rohan.sdsu.edu/~jmahaffy/courses/f09/math636/lectures/bifurcation_ode/bifurcation_ode.pdf.