Abstract
Taking general Lévy jumps into account, a traditional competition system with stochastic perturbation is proposed and investigated. Sufficient conditions for extinction are discussed as well as weak persistence, nonpersistence in the mean and stochastic permanence. In addition, the critical number between weak persistence in the mean and extinction is obtained. Our results demonstrate that, firstly, white noises has no effect on the persistence and extinction; secondly, the general Lévy jumps could make permanence vanish as well as happen.
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The authors thank the editor and reviewers for their valuable suggestions.
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This work is supported by Grants from the Natural Science Foundation of Shandong Province of China (Nos. ZR2018MA023), a Project of Shandong Province Higher Educational Science and Technology Program of China (Nos. J16LI09).
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Yang, W., Lu, C. Long time behavior of stochastic Lotka–Volterra competitive system with general Lévy jumps. J. Appl. Math. Comput. 64, 471–486 (2020). https://doi.org/10.1007/s12190-020-01364-1
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DOI: https://doi.org/10.1007/s12190-020-01364-1