Fig. 5: Temporal evolution of the CPR model when \(\tau _\sigma \gg 1\) and γσi ~ 0.1. | The ISME Journal

Fig. 5: Temporal evolution of the CPR model when \(\tau _\sigma \gg 1\) and γσi ~ 0.1.

From: Constrained proteome allocation affects coexistence in models of competitive microbial communities

Fig. 5

a Initial conditions for the \({\vec{\varphi}}_\sigma\) of a system with 10 species and 3 resources, depicted using the same graphical representation [31] of Fig. 4: the black triangle is the simplex to which the \(\hat \varphi _{\sigma i}\) (colored dots) and the \(\hat s_i\) (black star) belong. The initial \(\hat \varphi _{\sigma i}\) are represented as colored triangles, and their convex hull is colored in orange, while \(\hat \varphi _{\sigma i}^{\ast}\) are represented as circles of the same colors, and their convex hull is in purple. With good approximation, \(\hat \varphi _{\sigma i}^ \ast \sim \hat \varphi _{\sigma i}\left( {t = 0} \right)\). b Time evolution of the species’ biomasses mσ relative to the case shown in a. Since \(\vec {\hat s}\) lies outside of the convex hull of the \(\vec {\hat \varphi } _\sigma\), most species go extinct. c Same as in a, but with \(\vec {\hat s}\) belonging to the convex hull of \(\vec {\hat \varphi } _\sigma\). d Biomass dynamics of the system corresponding to the case shown in c. In this case all species coexist. The parameters and the initial conditions were drawn from random distributions (see Supplementary Information). All parameters other than \(\vec {\hat s}\) are identical in the four panels).

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