Abstract
We consider the system of the Rosenzweig-MacArthur equationswith one consumer and two resources. Recently, the model has been generalized by including an optimization of the consumption rates β_{i} [P. Gawroński et al., Chaos 32, 093121 (2022)1054-150010.1063/5.0105340]. Also, we have assumed that β_{1}+β_{2}=1, which reflects the limited amount of time that can be devoted to a given type of resource. Here we investigate the transition to the phase where one of the resources becomes extinct. The goal is to show that the stability of the phase with two resources strongly depends on the initial value of β_{i}. Our second goal is to demonstrate signatures of transient chaos in the time evolution.
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