Determine the number and stability of the equilibria

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Reference no: EM131249776

Consider the toggle switch model

Here, we are going to explore the parameter space that makes the system work as a toggle switch. To do so, answer the following questions:

(i) Consider m = n = 1. Determine the number and stability of the equilibria as the values of βA and βB are changed.

(ii) Consider m = 1 and n > 1 and determine the number and stability of the equilibria (as other parameters change).

(iii) Consider m = n = 2. Determine parameter conditions on β_A, β_B, γ, K for which the system is bistable, i.e., there are two stable steady states.

Reference no: EM131249776

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