Stability and bifurcation in a reaction-diffusion-advection predator-prey model

被引：3
|
作者：
Sun, Yihuan [1 ]
Chen, Shanshan [2 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Heilongjiang, Peoples R China
[2] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 02期
基金：
中国国家自然科学基金;
关键词：
37G15; 35K57; 92D25; GLOBAL DYNAMICS; SPATIAL HETEROGENEITY; HOPF-BIFURCATION; ENVIRONMENTS; DISPERSAL; EVOLUTION; PATTERNS; SYSTEM; COEXISTENCE; PERSISTENCE;
D O I：
10.1007/s00526-022-02405-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A reaction-diffusion-advection predator-prey model with Holling type-II predator functional response is considered. We show the stability/instability of the positive steady state and the existence of a Hopf bifurcation when the diffusion and advection rates are large. Moreover, we show that advection rate can affect not only the occurrence of Hopf bifurcations but also the values of Hopf bifurcations.
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页数：31
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