Question: How make thus point be simpler than the exact shape which can be clear to determine?

in this equation i can't do phase portrait and visualization and invistagation of thus point are really not easy which i do a lot substitution for do more simplify but still not work, i want to do phase portrait for thus point but the parameter are too much and each time i have to determine my point which behavior have for each point i have to know the jacobian of them and each time i have to change the parameter to be biger or smaller than zero so i have to replace thus point to be something very easy like A or B  but i don't know how to do that i need an expert to help me , i did my best in file but i can't finished

f2.mw

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