[1]张瑞敏,魏春金.具有阶段结构的随机捕食-食饵模型[J].集美大学学报(自然科学版),2023,28(3):267-272.
ZHANG Ruimin,WEI Chunjin.Stochastic Predator-Prey System with Stage Structure[J].Journal of Jimei University,2023,28(3):267-272.
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《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第28卷
- 期数:
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2023年第3期
- 页码:
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267-272
- 栏目:
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数理科学与信息工程
- 出版日期:
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2023-05-28
文章信息/Info
- Title:
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Stochastic Predator-Prey System with Stage Structure
- 作者:
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张瑞敏; 魏春金
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(集美大学理学院,福建 厦门 361021)
- Author(s):
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ZHANG Ruimin; WEI Chunjin
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(School of Science,Jimei University,Xiamen 361021,China)
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- 关键词:
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Beddington-DeAngelis型功能反应; 阶段结构; Lyapunov函数; 全局渐近稳定
- Keywords:
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Beddington-DeAngelis functional response; stage structure; Lyapunov functions; global asymptotic stability
- 分类号:
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- DOI:
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- 文献标志码:
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A
- 摘要:
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建立一个带有Beddington-DeAngelis型功能反应与阶段结构的随机捕食-食饵模型。通过构造Lyapunov函数,证明该系统全局正解的存在唯一性,得到正解全局渐近稳定的充分条件。最后给出数值模拟来说明噪声强度对种群系统的影响。
- Abstract:
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In this paper,a stochastic predatorprey system with BeddingtonDeAngelis functional response and stage structure were established.It was shown that there existed a unique positive equilibrium point of the system by constructing Lyapunov functions,and sufficient conditions that the positive equilibrium point is globally asymptotically stable were obtained.Finally,numerical simulations were given to illustrate the effect of noise intensity on the population system.
参考文献/References:
相似文献/References:
[1]赵姣,张树文.环境污染下有脉冲的阶段结构捕食-食饵系统[J].集美大学学报(自然科学版),2013,18(3):213.
ZHAO Jiao,ZHANG Shuwen.Analysis of a Stage-structured Predator-prey System with Impulsive Effects in a Polluted Environment[J].Journal of Jimei University,2013,18(3):213.
更新日期/Last Update:
2023-09-12