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Predator-prey system with stage structure and delay

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Abstract

A system of retarded functional differential equations is proposed as a predator-prey model with stage structure in the prey. The invariance of non-negativity, nature of boundary equilibria and global stability are analyzed. It is shown that in this model the time delay can make a stable equilibrium become unstable and even a switching of stabilities.

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Supported by the National Natural Science Foundation of China (10171106) and Natural Science Foundation of Henan Province (0211010400).

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Ye, K., Song, X. Predator-prey system with stage structure and delay. Appl. Math. Chin. Univ. 18, 143–150 (2003). https://doi.org/10.1007/s11766-003-0018-1

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  • DOI: https://doi.org/10.1007/s11766-003-0018-1

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