Conjugate coupling in ecosystems: Cross-predation stabilizes food webs |
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| Institution: | 1. Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Begal, India;2. Department of Mathematics, Indian Institute of Technology Ropar, Punjab 140 001, India;1. Department of Environmental and Agricultural Engineering, Tokyo University of Agriculture and Technology, Fuchu, Tokyo 183-8509, Japan;2. Department of Plant Science, University of California, Davis, CA 95616, USA;3. Land Health Decisions, World Agroforestry (ICRAF), 13 Avenue des Cliniques, Kinshasa, Democratic Republic of the Congo;4. Department of Biological and Agricultural Engineering, University of California, Davis, CA 95616, USA;5. Department of Environmental Science & Policy, University of California, Davis, CA 95616, USA;6. Santa Fe Institute,1399 Hyde Park Rd., Santa Fe, NM 87501, USA |
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| Abstract: | We study the dynamics of two predator–prey systems that are coupled via cross-predation, in which each predator consumes also the other prey. This setup constitutes a model system in which conjugate coupling emerges naturally and denotes the transition from two separate food chains to a food web. We show that cross-predation of a certain strength leads to amplitude death stabilizing the food web in a new equilibrium. |
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