New criteria for the existence of a positive equilibrium in reaction networks |
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Authors: | Sangmok Choo Namyong Lee |
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Institution: | 1. Department of Mathematics, University of Ulsan, Ulsan, 680-749, Republic of Korea;2. Department of Mathematics and Statistics, Minnesota State University, Mankato, USA |
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Abstract: | Deriving the behavior of a network from its structure is of interest and has been studied. In this work, we find a new condition on the nodes of a network for obtaining some relation between the network structure and its ability to have a positive equilibrium. This condition replaces the concept of deficiency for use in such research. Moreover, it is easy to check this condition even for large networks. |
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