具有时滞分布的离散捕食者-被捕食模型中的波动动力学。
Oscillatory dynamics in a discrete predator-prey model with distributed delays.
机构信息
Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China; School of Information Science and Engineering, Central South University, Changsha 410083, PR China.
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, PR China.
出版信息
PLoS One. 2018 Dec 26;13(12):e0208322. doi: 10.1371/journal.pone.0208322. eCollection 2018.
This work aims to discuss a predator-prey system with distributed delay. Various conditions are presented to ensure the existence and global asymptotic stability of positive periodic solution of the involved model. The method is based on coincidence degree theory and the idea of Lyapunov function. At last, simulation results are presented to show the correctness of theoretical findings.
本工作旨在讨论一个具有分布时滞的捕食者-被捕食者系统。提出了各种条件以确保所涉及模型的正周期解的存在和全局渐近稳定性。该方法基于重合度理论和 Lyapunov 函数的思想。最后，给出了仿真结果以验证理论结果的正确性。
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