| 韦东，祖力*.带直接扩散的随机捕食-食饵模型动力学研究[J].海南师范大学学报自科版,2018,31(3):322-330 |
| 带直接扩散的随机捕食-食饵模型动力学研究 |
| Dynamical Study of Stochastic Predator-Prey Model Carrying Direct Diffusion |
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| DOI：10.12051/j.issn.1674-4942.2018.03.012 |
| 中文关键词: 白噪声 环境噪声 最终有界 灭绝性 |
| 英文关键词: white noise environment noise ultimate boundedness extinction |
| 基金项目:海南省研究生创新研究项目（Hys2017-136）；海南省高等学校科学研究项目（Hnky2017ZD-14） |
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| 中文摘要: |
| 考虑了n 个不同斑块环境下，带直接扩散的随机捕食-食饵模型的动力学性质。通过
构造不同的李雅普诺夫函数，获得了随机系统正解的存在唯一性结果，并且对该结果进行有界性
分析，给出了食饵种群以及整个系统灭绝的充分条件。最后，对所有定理结论进行数值模拟分析。 |
| 英文摘要: |
| The dynamical analysis of stochastic predator - prey model carrying direct diffusion in n different patch environ⁃
ments was considered and analyzed. By constructing different Lyapunov functions, the existence and uniqueness of a posi⁃
tive solution in the stochastic system were obtained and analyzed with boundedness. The sufficient conditions for the extinc⁃
tion of the prey population and whole system were provided. At last, the conclusions of all theorems were analyzed through
numerical simulation. |
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