POSITIVE STEADY STATES AND DYNAMICS FOR A DIFFUSIVE PREDATOR-PREY SYSTEM WITH A DEGENERACY
文献类型：期刊论文
| 作者 | Yang, Lu1,2; Zhang, Yimin3 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 36期号:2页码:537-548 |
| 关键词 | Predator-prey system steady state solution dynamical behavior |
| 英文摘要 | In this article, we consider positive steady state solutions and dynamics for a spatially heterogeneous predator-prey system with modified Leslie-Gower and Holling-Type II schemes. The heterogeneity here is created by the degeneracy of the intra-specific pressures for the prey. By the bifurcation method, the degree theory, and a priori estimates, we discuss the existence and multiplicity of positive steady states. Moreover, by the comparison argument, we also discuss the dynamical behavior for the diffusive predator-prey system. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | CROSS-DIFFUSION ; HETEROGENEOUS ENVIRONMENT ; PROTECTION ZONE ; BIFURCATION BRANCH ; GLOBAL BIFURCATION ; DISPERSAL RATES ; MODEL ; EQUATIONS ; EVOLUTION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000372678200019 |
| 公开日期 | 2016-05-03 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9226]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 2.Key Lab Appl Math & Complex Syst, Lanzhou 730000, Gansu, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Lu,Zhang, Yimin. POSITIVE STEADY STATES AND DYNAMICS FOR A DIFFUSIVE PREDATOR-PREY SYSTEM WITH A DEGENERACY[J]. ACTA MATHEMATICA SCIENTIA,2016,36(2):537-548. |
| APA | Yang, Lu,&Zhang, Yimin.(2016).POSITIVE STEADY STATES AND DYNAMICS FOR A DIFFUSIVE PREDATOR-PREY SYSTEM WITH A DEGENERACY.ACTA MATHEMATICA SCIENTIA,36(2),537-548. |
| MLA | Yang, Lu,et al."POSITIVE STEADY STATES AND DYNAMICS FOR A DIFFUSIVE PREDATOR-PREY SYSTEM WITH A DEGENERACY".ACTA MATHEMATICA SCIENTIA 36.2(2016):537-548. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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