期刊
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
卷 19, 期 3, 页码 1205-1232出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2020056
关键词
Coexistence; steady state; perturbation theory; comparison principle; bifurcation; Lyapunov-Schmidt reduction
资金
- Jiangxi Science and Technology Project [GJJ170844]
- National Natural Science Foundation of China [11671123, 11801089, 11901110]
This paper is devoted to a two-species Lotka-Volterra model with general functional response. The existence, local and global stability of boundary (including trivial and semi-trivial) steady-state solutions are analyzed by means of the signs of the associated principal eigenvalues. Moreover, the nonexistence and steady-state bifurcation of coexistence steady-state solutions at each of the boundary steady states are investigated. In particular, the coincidence of bifurcating coexistence steady-state solution branches is also described. It should be pointed out that the methods we applied here are mainly based on spectral analysis, perturbation theory, comparison principle, monotone theory, Lyapunov-Schmidt reduction, and bifurcation theory.
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