DYNAMICS OF A TWO-PATCH NICHOLSON'S BLOWFLIES MODEL WITH RANDOM DISPERSAL

被引：1
|
作者：
Liu, Houfu [1 ]
Cong, Yuanyuan [1 ]
Su, Ying [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, 92 West Dazhi St, Harbin 150001, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nicholson's blowflies model; Dirichlet boundary condition; stability; Hopf bifurcations; HOPF-BIFURCATION ANALYSIS; DIFFERENTIAL EQUATIONS; POPULATION-MODEL; DELAY; STABILITY;
D O I：
10.11948/20210268
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global dynamics of the Nicholson's blowfly reaction-diffusion model with zero Dirichlet boundary condition is less understood. In this paper, we provide a discrete version of diffusive Nichlson's blowflies equation with zero Dirichlet boundary condition. Local and global stability of the equilibria are obtained by some comparison arguments, fluctuation method and the theory of exponential ordering. Hopf bifurcation at the positive equilibrium and the global existence of the periodic solutions are studied by local and global Hopf bifurcation theory.
引用
收藏
页码：692 / 711
页数：20
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