| 具有阶段结构和时滞的捕食系统 |
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| 引用本文： | 叶凯莉,宋新宇.具有阶段结构和时滞的捕食系统[J].高校应用数学学报(英文版),2003,18(2):143-150. |
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| 作者姓名： | 叶凯莉 宋新宇 |
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| 作者单位： | Ye Kaili Song XinyuDept. of Math.，Xinyang Teachers College，Henan 464000，China. |
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| 基金项目： | Supported by the National Natural Science Foundation of China(1 0 1 71 1 0 6 ) and Natural Science Foun-dation of Henan Province(0 2 1 1 0 1 0 4 0 0) |
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| 摘 要： | § 1 IntroductionThe competitive,cooperative and predator-prey models have been studied by many au-thors.1— 4] The permanence (or strong persistence) and extinction are significant conceptsof those models.However,the stage structure of species has been considered very little.Inthe real world,almost all animals have the stage structure of immature and mature.Re-cently,papers5— 7] studied the stage structure of species,the transformation rate of ma-ture population is proportional to the ex…
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| 收稿时间： | 4 September 2002 |
Predator-prey system with stage structure and delay |
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| Ye Kaili,Song Xinyu.Predator-prey system with stage structure and delay[J].Applied Mathematics A Journal of Chinese Universities,2003,18(2):143-150. |
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| Authors: | Ye Kaili Song Xinyu |
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| Institution: | (1) Dept. of Math., Xinyang Teachers College, 464000 Henan, China |
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| Abstract: | A system of retarded functional differential equations is proposed as a predator-prey model with stage structure in the prey.The invariance of non-negativity,nature of boundary equilibria and global stability are analyzed.It is shown that in this model the time delay can make a stable equilibrium become unstable and even a switching of stabilities. |
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| Keywords: | stage structure predator-prey system global stability Hopf bifurcation |
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