Stability and Hopf bifurcation of a diffusive Gompertz population model with nonlocal delay effect

被引：1

作者：

Sun, Xiuli ^{[1
]}

Wang, Luan ^{[2
]}

Tian, Baochuan ^{[3
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China

[2] Shanxi Univ Finance & Econ, Fac Econ, Taiyuan 030006, Shanxi, Peoples R China

[3] Beijing Polytech, Beijing 100176, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2018年 / 22期

关键词：

reaction-diffusion; nonlocal delay; Hopf bifurcations; stability; SOLID AVASCULAR TUMOR; TIME DELAYS; DIFFERENTIAL EQUATION; GLOBAL STABILITY; GROWTH CURVE; DYNAMICS; SYSTEM;

D O I：

10.14232/ejqtde.2018.1.22

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the dynamics of a diffusive Gompertz population model with nonlocal delay effect and Dirichlet boundary condition. The stability of the positive spatially nonhomogeneous steady-state solutions and the existence of Hopf bifurcations with the change of the time delay are discussed by analyzing the distribution of eigenvalues of the infinitesimal generator associated with the linearized system. Then we derive the stability and bifurcation direction of Hopf bifurcating periodic orbits by using the normal form theory and the center manifold reduction. Finally, we give some numerical simulations.

引用

页数：22

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