Fig. 6: Species coexistence as a function of the rescaled resource supply rate \(x{\vec{s}}\) (with x > 1). | The ISME Journal

Fig. 6: Species coexistence as a function of the rescaled resource supply rate \(x{\vec{s}}\) (with x > 1).

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

Fig. 6

As for Fig. 5, the \({\vec{\varphi}}_\sigma\) evolve according to the CPR model with \(\tau _\sigma \gg 1\), \(\gamma _{\sigma i} \gtrsim 1\), NS = 10 and NR = 3. Here, \(\vec {\hat s}\) was drawn randomly outside the convex hull of the initial \(\vec {\hat \varphi } _{\sigma}\) (same \(\vec{\hat{s}}\) for all panels) and we varied x > 1. a Stationary values of the species’ biomasses for different values of x. When x 1 the system is in an oligodominant phase in which only one or a few species survive, but as x grows larger the system shifts to a diverse phase in which all species coexist. Notice that the relative ratios of the stationary abundances \(m_\sigma ^ \ast\) are not constant as x grows. bd Initial (orange) and stationary (purple) convex hull of the rescaled proteome fractions \(\hat \varphi _{\sigma i}\) for different values of x. For small x, the resource supply (black star) is not large enough to allow the \(\hat \varphi _{\sigma i}\) to move so that the coexistence condition is satisfied. Increasing x (d), this becomes possible and thus all species are able to coexist. The parameters and the initial conditions were drawn from pre-assigned random distributions (see Supplementary Information). All parameters other than \(\vec {\hat s}\) and the initial conditions mσ(0) and ci(0) are identical in the four panels.

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