![]() Instead, growth occurs in colonies of close-packed cells, which expand purely due to repulsive interactions: individual bacteria push each other out of the way through the force of their growth. On hard agar gel, there is insufficient surface hydration for bacteria to swim or swarm. Our main results are illustrated with examples, and we also provide an introductory study of the bacterial growth in a chemostat within the framework of our model. ![]() This phenomenon is observed in similar models only under special assumptions on the functional form of the size-dependent growth rate factor. Rather than convergence to a stable size distribution, we find that size distributions repeat in cycles. The distribution-level behaviour is found to be different from that found in similar models of bacterial population dynamics. The population-level and distribution-level behaviours of these solutions are then determined in terms of the model parameters. ![]() It is shown that the model admits classical solutions. We consider a size-structured bacterial population model in which the rate of cell growth is both size- and time-dependent and the average per capita reproduction rate is specified as a model parameter. ![]() A size-structured model of bacterial growth and reproduction.
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