Prey–predator dynamics with predator switching regulated by a catabolic repression control mode |
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| Institution: | 1. Laboratory of General and Agricultural Microbiology, Department of Agricultural Biotechnology, Agricultural University of Athens, Iera Odos 75, 118 55 Athens-GR, Greece;2. Department of Environmental and Natural Resources Management, School of Natural Resources and Enterprise Management, Agrinion, University of Ioannina, Greece;3. Department of Chemical Engineering, University of Patras, Patras, Greece;1. MI State University, Department of Fisheries and Wildlife, Quantitative Fisheries Center, 480 Wilson Road, East Lansing, MI 48824, United States;2. U.S. Geological Survey, Great Lakes Science Center, Lake Superior Biological Station, 2800 Lakeshore Drive, Ashland, WI 54806, United States;3. U.S. Fish and Wildlife Service, Ashland Fish and Wildlife Conservation Office, 2800 Lakeshore Drive, Ashland, WI 54806, United States;4. Ontario Ministry of Natural Resources, Upper Great Lakes Management Unit, 435 James Street South, Suite 221e, Thunder Bay ON P7E 6S8, Canada;1. Plant Ecology and Nature Conservation, University of Potsdam, Maulbeerallee 2, 14469 Potsdam, Germany;2. Helmholtz Centre for Environmental Research – UFZ, Department of Ecological Modelling, Permoserstraße 15, D-04318 Leipzig, Germany;3. Berlin-Brandenburg Institute of Advanced Biodiversity Research (BBIB), D-14195 Berlin, Germany;4. Leibniz Centre for Agricultural Landscape Research – ZALF, Eberswalder Straße 84, D-15374 Müncheberg, Germany;1. School of Business Administration, China University of Petroleum-Beijing, 18 Fuxue Road, Changping, Beijing 102249, China;2. Chongqing Institute of Geology and Mineral Resources, 9 Changjiang 2 Road, Yuzhong, Chongqing 400042, China;1. Department of Mathematics and CMA, Universidade Nova de Lisboa, Portugal;2. School of Computer Science, University of Nottingham, Nottingham, UK |
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| Abstract: | Since many predators can live under certain circumstances as saprophytes or consume more than one prey, and different enzymes are generally required for each prey or nutrient digestion, the predator must be sufficiently adaptive for effective utilization of the prey mass. Control modes as induction and repression, however, act at the level of genes and cause changes in the biosynthesis rate of these enzymes. In this work, an extension of the catabolic repression control mode from the level of genes to the level of the behavior of the predator is proposed, in order to model the balanced attack of the predator on the prey. It is demonstrated that, when the prey population has the competitive advantage over the predator (in using the common substrate), the catabolic repression mechanism favors the prey population, which dominates over the predator even at low specific dilution rate values, whereas, the stable steady or periodic coexistence state is not favored. When the predator has the competitive advantage at low substrate concentrations and the prey at high substrate concentrations, the introduction of the catabolic repression mechanism in the model again favors the stable steady state of the prey, while the coexistence region is dramatically reduced. Conversely, when the prey population has the competitive advantage at low and the predator at high substrate concentrations, dominance of prey and coexistence steady state could be favored by the catabolic repression mechanism. It is concluded that the catabolic repression control favors dominance of the prey population and, under certain circumstances, coexistence of both prey and predator populations. |
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