| 一类具有Machaelis-Menten型功能性反应的非自治阶段结构捕食系统 |
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| 作者单位： | ;1.新乡学院数学与信息科学学院;2.郑州大学数学与统计学院 |
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| 摘 要： | 研究了捕食者具有阶段结构和Machaelis-Menten型功能性反应的捕食者-两竞争食饵系统.利用比较定理讨论了系统的一致持久性和灭绝性.此外,当系统是周期系统时,通过Brouwer不动点定理和构造Lyapunov函数,得到了系统正周期解的存在性和全局稳定的充分条件.最后,通过数值模拟来验证结论的正确性.
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| 关 键 词： | 阶段结构 时滞 Machaelis-Menten型功能性反应 持久性 周期性 |
Nonautonomous Stage-Structured Predator-Prey System with Machaelis-Menten Functional Response |
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| Affiliation: | ,Department of Mathematics and Information Science,Xinxiang University,Department of Mathematics and Statistics,Zhengzhou University |
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| Abstract: | In this paper,apredator-and-two-competitive-prey model with stage structure and Machaelis-Menten functional response for predator is investigated.Using comparison theorem,the permanence and extinction of the system are obtained.Further,for the periodic case,a set of sufficient conditions for the existence and global asymptotic stability of a periodic solution is presented through Brouwer theorem and constructing a Lyapunov function.Numerical simulation illustrate the feasible of the main result. |
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| Keywords: | stage structure time delay Machaelis-Menten functional response permanence periodicity |
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