| 具有功能性反应函数xn/n+1的捕食系统 |
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| 引用本文： | 司成斌,沈伯骞. 具有功能性反应函数xn/n+1的捕食系统[J]. 生物数学学报, 2003, 18(2): 192-196 |
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| 作者姓名： | 司成斌 沈伯骞 |
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| 作者单位： | 辽宁师范大学,数学系,辽宁,大连,116029 |
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| 基金项目： | 辽宁省教育厅高校科研项目(A990311010) |
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| 摘 要： | 讨论了具有功能性反应函数为x^n/n 1的捕食系统，其中n是任意正整数．证明了此系统如存在正平衡点必唯一，且必全局生态稳定．并讨论了此唯一正平衡点的Hopf分支．
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| 关 键 词： | 功能性反应函数 x^n／n＋1 捕食系统 正平衡点 极限环 |
| 文章编号： | 1001-9626(2003)02-0192-05 |
| 修稿时间： | 2001-03-20 |
The Predator-Prey System Possessing Functional Response Function That Is xn/n+1 |
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| SI Cheng-bin SHEN bo-qian. The Predator-Prey System Possessing Functional Response Function That Is xn/n+1[J]. Journal of Biomathematics, 2003, 18(2): 192-196 |
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| Authors: | SI Cheng-bin SHEN bo-qian |
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| Abstract: | My thesis discusses the predator-prey system possessing functional response that is xn/n+1, and n is a positive integer. It testifies that if there is positive equilibrium point in the system , it must be the only one. There is a global ecological stability in the system too. The Hopf bifurcation of only positive equilibrium is also discussed here. |
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| Keywords: | Functional response Positive equilibrium point Limit cycles |
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