Patterning the insect eye: From stochastic to deterministic mechanisms
Fig 3
Plot of the behaviour of Xj based on Eq 2 as a function of the key parameters in the problem with the (scaled) threshold value of X0 shown by the dotted line.
The purple and blue regions correspond to the parameters which lead to fixed values Xj = γ − β(1 − P0) and Xj = γ − βP0 respectively. Such fixed values become stable states of Xj, corresponding therefore to the mythical “Uniform Fly”. The green region represents the range of parameter values where Xj oscillates between the above fixed points, corresponding therefore to Doli. The white region corresponds to physically inadmissible values where X0 (as a biological factor) takes negative values. In the region where P0 > 0.5, blue, green and purple region overlap; here, Xj goes to a fixed point that depends on its initial value.