| 带有脉冲、时滞和广义扩散函数的捕食者-食饵系统正周期解的存在性 |
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| 引用本文： | 王烈,陈斯养,石茂. 带有脉冲、时滞和广义扩散函数的捕食者-食饵系统正周期解的存在性[J]. 兰州大学学报(自然科学版), 2010, 46(1) |
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| 作者姓名： | 王烈 陈斯养 石茂 |
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| 作者单位： | 1. 西北工业大学理学院,西安,710069
2. 陕西师范大学数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金项目(60671063,10871122) |
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| 摘 要： | 考虑具有脉冲、时滞和广义扩散函数的捕食者一食饵系统正周期解的存在性。在估计参量的上、下界的基础上,利用一致度和相对连续理论得到系统存在正周期解的充分条件。通过实例,讨论了广义扩散函数、时滞和脉冲参数对系统正周期解的影响。
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| 关 键 词： | 捕食者—食饵系统 正周期解 一致度 |
Existence of a positive periodic solution of predator-prey system with impulsive, time delay and general diffusion |
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| WANG Lie,CHEN Si-yang,SHI Mao. Existence of a positive periodic solution of predator-prey system with impulsive, time delay and general diffusion[J]. Journal of Lanzhou University(Natural Science), 2010, 46(1) |
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| Authors: | WANG Lie CHEN Si-yang SHI Mao |
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| Affiliation: | 1.School of Science/a>;Northwestern Polytechnic University/a>;Xi'an 710072/a>;China/a>;2.School of Mathematic and Information Science/a>;Shaanxi Normal University/a>;Xi'an 710062/a>;China |
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| Abstract: | A food web model consisting of two competing preys and one predator with impulsive,time delay and general diffusion functions was proposed.The sufficient criteria were established for the existence of positive periodic solutions and the approach was based on the coincidence degree and the related continuation theorem as well as some prior estimates.Meanwhile,some numerical simulations were carried out to support the theoretical analysis of the research. |
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| Keywords: | predator-prey system positive periodic solution coincidence degree |
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