Abstract
In this paper, a periodic predator–prey delay system with Beddington–DeAngelis and Holling IV functional response is proposed and analyzed, where prey has stage structure and all three species are density dependent. Using the comparison theorem and analytical method, sufficient conditions of the permanence and extinction of the predators and prey species are obtained. In addition, sufficient conditions are derived for the existence of positive periodic solutions of the system. According to the conclusions of the theorems, two examples are given to check the correctness of the main results.
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Acknowledgment
This paper is supported by the Natural Science Fund of Shaanxi Provincial Education Administration Bureau (Grant No. 11JK0502) and the Doctor’s Research Fund of Xi’an Polytechnic University.
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Zheng, Ww., Han, Ed. (2013). Permanence and Extinction of Periodic Delay Predator–Prey System with Two Predators and Stage Structure for Prey. In: Qi, E., Shen, J., Dou, R. (eds) The 19th International Conference on Industrial Engineering and Engineering Management. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38391-5_155
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DOI: https://doi.org/10.1007/978-3-642-38391-5_155
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