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Comparing The Effects Of Interactive And Noninteractive Complementary Nutrients On Growth In A Chemostat, James P. Braselton, Martha L. Abell, Lorraine Braselton
Comparing The Effects Of Interactive And Noninteractive Complementary Nutrients On Growth In A Chemostat, James P. Braselton, Martha L. Abell, Lorraine Braselton
Department of Mathematical Sciences Faculty Publications
We compare the effects of interactive and noninteractive complementary nutrients on the growth of an organism in the chemostat. We also compare these two situations to the case when the nutrients are substitutable. In previous studies, complementary nutrients have been assumed to be noninteractive. However, more recent research indicates that some complementary nutrient relationships are interactive. We show that interactive complementary and substitutable nutrients can lead to higher population densities than do noninteractive complementary nutrients. We numerically illustrate that if the washout rate is high, an organism can persist at higher densities when the complementary nutrients are interactive than when …
Rock-Paper-Scissors In The Chemostat, James P. Braselton, Martha L. Abell, Lorraine Braselton
Rock-Paper-Scissors In The Chemostat, James P. Braselton, Martha L. Abell, Lorraine Braselton
Department of Mathematical Sciences Faculty Publications
Rock-Paper-Scissors is a game played by two players to determine a single winner. Biological relationships of Rock-Paper-Scissors are documented. In this paper, we form a continuous model of Rock-Papers-Scissors in the chemostat that coincides with the biology of such relationships. The basic models that we develop coincide with the observed phenomena. Because the model involves a system of seven nonlinear differential equations, global results are difficult to obtain. We present several numerical studies that are the result of a substantial number of numerical trials to illustrate the various possibilities that might occur in the context of the problem discussed here.