I decided that the work I did a few days ago was for an overly complicated model - I didn't see the point of having both an exponential death term (remnant from a previous version of the model) and a logistic growth term...so I've dumped the death in favour of the logistic growth. This also (of course) has the effect of somewhat simplifying the analysis/algebra for the stability work.
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A little 3am mad scientist action. |
So anyway, I worked on this until about 4am this morning which is basically unheard of for me these days. I really only went to bed then because I had hit the end of the algebraic work and I thought to bust out some matlab to start doing simulations and numerical work at this stage of the night was getting kind of ridiculous. I really should have kept going though - I felt fine waking at 7.30 this morning, so I'm sure I'd have survived.
Anyway, more tonight - I think I can finish off the draft of this in the next couple of days or so.
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