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Dec 4, 2019 at 11:11 comment added AtmosphericPrisonEscape @fileunderwater: Because when keeping $N_2$ constant, this is a logistic DEQ. It helps develop what you expect from a solution. The first term is an enxponential growth, the second one an exponential decline. If the logistic level-off is actually reached, depends on the ratio of the coefficients.
Dec 4, 2019 at 9:14 comment added fileunderwater Why are you bringing the logistic function into this? The prey model in the Q is not based on the logistic, and the levelling off in the logistic model has nothing to do with the isocline in this Q.
Dec 3, 2019 at 13:10 comment added helppp here you go: nre509.wikidot.com/lecture-15-nov-4
Dec 3, 2019 at 10:41 comment added AtmosphericPrisonEscape @helppp Could you post the link where you've got the image from? Then I could check with their variable namings. The way I see it the line means exactly that: For one particular N2, there is one constant N1. However, now if we change N2 to some other number N2', then N1 has also to change, in a correspondingly linear fashion, along the isocline.
Dec 3, 2019 at 9:14 comment added helppp Okay, that does clear up a few things. But shouldn't a fixed predator population of N2=r1/p1 correspond to a fixed value of prey population, so instead of a line we get a point ?
Dec 3, 2019 at 4:10 review First posts
Dec 3, 2019 at 19:56
Dec 3, 2019 at 4:05 history answered AtmosphericPrisonEscape CC BY-SA 4.0