Question: Please help asap with this ordinary differential equation problem. All parts please. 3. Human bodies break down glucose to provide energy for activities. This process

Please help asap with this ordinary differential equation problem. All parts please.

Please help asap with this ordinary differential equation problem. All parts please.

3. Human bodies break down glucose to provide energy for activities. This process of glycolysis may oscillate in some cases and has been analyzed by the following simple model: i = -y+ I(1-12-y?), y = Ity( 1 - 12 - 32), (a) Find the critical point(s) of this system and determine the stability. (b) Obtain two uncoupled ODEs for the polar angle 0 and an appro- priate distance variable p to show the existence of a limit cycle for A > 0. (c) Deduce from the uncoupled system the bifurcation point / and the type of bifurcation there

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