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A phase transition induces chaos in a predator-prey ecosystem with a dynamic fitness landscape

Fig 4

Hysteresis and discontinuity induced by a first-order fitness phase transition.

(A) Under the fast equilibration approximation , an analytic phase diagram for the real parts of the locations of the local extrema of the fitness function as a function of the prey density, x. The red “forward” overlay indicates the apparent jump in the dynamics as x increases; the blue “backward” overlay indicates the apparent jump as x decreases. Dashed line indicates unstable equilibria. All parameters are as given in Fig 2B.

doi: https://doi.org/10.1371/journal.pcbi.1005644.g004