| “具有稀疏效应的捕食-食饵模型”的注记 |
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| 引用本文： | 杨明朝.“具有稀疏效应的捕食-食饵模型”的注记[J].高校应用数学学报(英文版),2003,18(3). |
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| 作者姓名： | 杨明朝 |
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| 作者单位： | Yang MingchaoDept. of Math.，Zhejiang Univ.，Hangzhou 310027，China. |
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| 摘 要： | § 1 IntroductionA predator-prey system with undercrowding effectis studied in 1 ] ,dxdτ=x(x -l) (1 -x)m + x -xy,dydτ=ny(x -g0 ) ,(1 )where m,n,g0 and l are non-negative constants.There are singular points O(0 ,0 ) ,A(l,0 )and B(1 ,0 ) in system (1 ) .As g0 locates between 1 and l,system (1 ) has a unique positivesingular point C(g0 ,(g0 -l) (1 -g0 )m+ g0) .Without loss of generality,assume l
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NOTE ON "BIFURCATION OF A PREDATOR-PREY MODEL WITH UNDERCROWDING EFFECT" |
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| Yang Mingchao.NOTE ON "BIFURCATION OF A PREDATOR-PREY MODEL WITH UNDERCROWDING EFFECT"[J].Applied Mathematics A Journal of Chinese Universities,2003,18(3). |
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| Authors: | Yang Mingchao |
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| Abstract: | Inexistence and existence of limit cycles in a predator-prey model with undercrowding effect are studied.The number of limit cycles obtained by Zheng Weiwei in 2000 is corrected. |
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| Keywords: | predator-prey system weak focus limit cycle |
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