Periodic Solution for A Stochastic Non-autonomous Predator-prey Model with Crowley-Martin Function Response
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- stochastic Crowley-Martin predator-prey model; global positive solution; positive periodic solution
In this paper, we investigate a stochastic non-autonomous Crowley-Martin predator-prey model. For the model, we first prove the existence and uniqueness of the global positive solution. For the periodic model, we prove that the existence of a positive periodic solution by using Khasminskii’s method and constructing appropriate Lyapunov function.
- © 2018, the Authors. Published by Atlantis Press.
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Cite this article
TY - CONF AU - Hongliang Chen AU - Xiaoping Li PY - 2018/03 DA - 2018/03 TI - Periodic Solution for A Stochastic Non-autonomous Predator-prey Model with Crowley-Martin Function Response BT - Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018) PB - Atlantis Press SP - 45 EP - 49 SN - 1951-6851 UR - https://doi.org/10.2991/mmsa-18.2018.11 DO - https://doi.org/10.2991/mmsa-18.2018.11 ID - Chen2018/03 ER -