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赵洪涌

教授 博士生导师

招生学科专业:
数学 -- 【招收博士、硕士研究生】 -- 数学学院

主要任职:中国数学学会生物数学专委会常务理事,江苏省生物数学会副理事长

性别:男

毕业院校:四川大学

学历:四川大学

学位:理学博士学位

所在单位:数学学院

联系方式:zhaohy@nuaa.edu.cn

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Spatio-temporal complexity of a delayed diffusive model for plant invasion

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所属单位:理学院

发表刊物:Comput Math Appl

摘要:In this paper, we develop a diffusive plant invasion model with delay under the homogeneous Neumann boundary condition. First, the existence and uniqueness of a non-negative solution, persistence property, and local asymptotic stability of the constant steady states are established. Then by analyzing the associated characteristic equation, the stability of steady states and the existence of Hopf bifurcation are demonstrated. Under special circumstance, the discontinuous Hopf bifurcation is also investigated. Furthermore, the existence and non-existence of nonconstant positive steady states of this model are studied through considering the effect of large diffusivity. Finally, in order to verify our theoretical results, some numerical simulations are also included. It shows that the numerically observed behaviors are in good agreement with the theoretically proposed results. On the basis of numerical simulations, we provide some useful comparisons for the readers between our results and the existing ones, and discuss the effects of the delay and the diffusion term on dynamic behaviors. Numerical results indicate that diffusion can make the system unstable and increasing delay may cause the plant to go extinct. © 2018 Elsevier Ltd

ISSN号:0898-1221

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发表时间:2018-01-01

合写作者:Zhang, Xuebing,Feng, Zhaosheng

通讯作者:赵洪涌

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