| Entire solutions of Lotka–Volterra strong competition systems with nonlocal dispersal | |
| Hao, Yu-Xia1; Li, Wan-Tong1; Zhang, Guo-Bao2 | |
| 2022-12-01 | |
| Source Publication | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK Impact Factor & Quartile |
| ISSN | 0044-2275 |
| EISSN | 1420-9039 |
| Volume | 73Issue:6 |
| page numbers | 30 |
| Abstract | This paper is devoted to considering entire solutions of the following two-species Lotka–Volterra strong competition system with nonlocal dispersals {ut=∫Rk(x-y)u(y,t)dy-u+u(1-u-av),x∈R,t∈R,vt=d∫Rk(x-y)v(y,t)dy-dv+rv(1-v-bu),x∈R,t∈R,where a> 1 , b> 1 , d, and r are positive constants. By constructing appropriate super- and sub-solutions, and with the aid of corresponding comparison principle, we established the existence and related qualitative properties of entire solutions originating from three and four traveling wave solutions. Meanwhile, we considered the non-existence of entire solutions originating from more than seven traveling fronts by introducing the definition of non-extendable (terminated) sequence. Compared to the known works for Lotka–Volterra competition system with classical diffusions, we have to overcome many difficulties due to the appearance of nonlocal dispersal operators in current paper. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG. |
| Keyword | Comparison principle Competition systems Entire solutions Lotka-Volterra Lotka-volterra competition systems Nonlocal dispersal Positive constant Qualitative properties Supersolution Travelling waves |
| Publisher | Birkhauser |
| DOI | 10.1007/s00033-022-01877-8 |
| Indexed By | EI ; SCIE |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000876305000001 |
| EI Accession Number | 20224413036583 |
| Original Document Type | Journal article (JA) |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/491757 |
| Collection | 兰州大学 信息科学与工程学院 |
| Corresponding Author | Li, Wan-Tong |
| Affiliation | 1.School of Information Science and Engineering, Lanzhou University, No. 222 Tianshui South Road, Lanzhou; 730000, China; 2.Centre for Green Chemistry and Catalysis, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, No. 18 Tianshui Middle Road, Lanzhou; 730000, China |
| First Author Affilication | School of Information Science and Engineering |
| Corresponding Author Affilication | School of Information Science and Engineering |
| Recommended Citation GB/T 7714 | Hao, Yu-Xia,Li, Wan-Tong,Zhang, Guo-Bao. Entire solutions of Lotka–Volterra strong competition systems with nonlocal dispersal[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2022,73(6). |
| APA | Hao, Yu-Xia,Li, Wan-Tong,&Zhang, Guo-Bao.(2022).Entire solutions of Lotka–Volterra strong competition systems with nonlocal dispersal.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,73(6). |
| MLA | Hao, Yu-Xia,et al."Entire solutions of Lotka–Volterra strong competition systems with nonlocal dispersal".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 73.6(2022). |
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