 In this case, even if electroactive bacteria can grow at the lowest substrate concentration, a few additional conditions are required to guarantee local  stability.
<meaning-changed>  In this case, even if electroactive bacteria can grow at the lowest substrate concentration, a few additional conditions are required to guarantee local  stability.
 In this case, even if electroactive bacteria can grow at the lowest substrate concentration, a few additional conditions are required to guarantee local asymptotic stability.