What changes will there be in the predator-prey system

Reference no: EM13895757

1. Using nullclines, determine the phase plane for the following system.

x' = x(1 - x) , y' = x - y2

2. a. Consider the predator-prey system

x' = x(1 - x) - Axy
y' = y(1 - y) + xy,

where A is a positive parameter. Using nullclines, determine the values of A where different outcomes occur. In particular, determine at which parameters this system undergoes a bifurcation.

b. What changes will there be in the predator-prey system if we introduce a new parameter of B instead of A?

x' = x(1 - x) - xy
y' = y(1 - y) + Bxy

Reference no: EM13895757

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