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Stochastic permanence and extinction of a hybrid predator-prey system with jumps | ||
Journal of Mathematical Modeling | ||
مقاله 11، دوره 12، شماره 3، آذر 2024، صفحه 551-564 اصل مقاله (240.18 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2024.27509.2421 | ||
نویسندگان | ||
Sheng Wang* ؛ Baoli Lei | ||
School of Mathematics and Information Science, Henan Polytechnic University (HPU), Jiaozuo, 454003, P.R. China | ||
چکیده | ||
This paper concerns the dynamics of a stochastic Holling-type II predator-prey system with Markovian switching and L{e}vy noise. First, the existence and uniqueness of global positive solution to the system with the given initial value is proved. Then, sufficient conditions for extinction and stochastic permanence of the system are obtained. Finally, an example and its numerical simulations are given to support the theoretical results. | ||
کلیدواژهها | ||
Stochastic permanence؛ Markov chain؛ Levy noise؛ predator-prey system | ||
آمار تعداد مشاهده مقاله: 100 تعداد دریافت فایل اصل مقاله: 110 |