| 一类具有高阶奇点的竞争扩散系统的波前解 |
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| 引用本文： | 王术,谢春红.一类具有高阶奇点的竞争扩散系统的波前解[J].高校应用数学学报(英文版),1999,14(3). |
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| 作者姓名： | 王术 谢春红 |
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| 作者单位： | 王术,Wang Shu(Dept.of Math.,Henan Univ.,Kaifeng 475001);谢春红,Xie Chunhong(Dept.of Math.,Nanjing Univ.,Nanjing 210093)
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| 基金项目： | 国家项目，Henan Province Foundation，中国科学院资助项目 |
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| 摘 要： | In this paper,the existence of travelling front solution for a class of competition-diffusion system with high-order singular pointwit=diwixx-wαiifi(w),x∈R,t>0,I=1,2 (Ⅰ)is studied,where di,αi>0 (I=1,2) and w=(w1(x,t),w2(x,t)).Under the certain assumptions on f,it is showed that if αi<1 for some I,then (Ⅰ) has no travelling front solution,if αi≥1 for I=1,2,then there is a c0,c*:c0≥c*>0,where c* is called the minimal wave speed of (Ⅰ),such that if c≥c0 or c=c*,then (Ⅰ) has a travelling front solution,if
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TRAVELLING FRONT SOLUTION FOR A CLASS OF COMPETITION-DIFFUSION SYSTEM WITH HIGH-ORDER SINGULAR POINT |
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| Wang Shu,Xie Chunhong.TRAVELLING FRONT SOLUTION FOR A CLASS OF COMPETITION-DIFFUSION SYSTEM WITH HIGH-ORDER SINGULAR POINT[J].Applied Mathematics A Journal of Chinese Universities,1999,14(3). |
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| Authors: | Wang Shu Xie Chunhong |
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| Abstract: | |
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| Keywords: | Travelling front solution competition-diffusion system high order singular point shooting method compactness argument |
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