Abstract
In this paper, a delayed ratio-dependent Holling-III predator-prey system with stagestructured and impulsive stocking on prey and continuous harvesting on predator is considered. The authors obtain sufficient conditions of the global attractivity of predator-extinction periodic solution and the permanence of the system. These results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system. The authors also prove that all solutions of the system are uniformly ultimately bounded. The results show that the biological resource management is effective and reliable.
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This research is supported by the Key Project of Chinese Ministry of Education under Grant No. 210134; Hubei Key Laboratory of Economic forest Germplasm Improvement and Resources Comprehensive Utilization Under Grant No. 2011BLKF52.
This paper was recommended for publication by Editor Jinhu LÜ.
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LI, Z. A delayed ratio-dependent predator-prey system with stage-structured and impulsive effect. J Syst Sci Complex 24, 1118–1129 (2011). https://doi.org/10.1007/s11424-011-8198-x
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DOI: https://doi.org/10.1007/s11424-011-8198-x