Stationary patterns of strongly coupled prey-predator models |
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Authors: | Mingxin Wang |
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Institution: | Department of Mathematics, Southeast University, Nanjing 210018, PR China |
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Abstract: | We study some elliptic systems arising from 3-component predator-prey models, where cross-diffusions are included in such a way that predator chases the prey and the prey runs away from the predator. We establish the existence and non-existence of non-constant positive solutions. Our results show that the cross-diffusions can create the stationary patterns. |
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Keywords: | Elliptic systems Predator-prey models Cross-diffusions Turing instability Stationary patterns |
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