Dynamic Analysis of a Heterogeneous Diffusive Prey-Predator System in Time-Periodic Environment

被引：3

作者：

Dai, Chuanjun ^{[1
,2
]}

Liu, He ^{[3
]}

Jin, Zhan ^{[1
,2
]}

Guo, Qing ^{[3
]}

Wang, Yi ^{[4
,5
]}

Yu, Hengguo ^{[2
]}

Wang, Qi ^{[1
,2
]}

Ma, Zengling ^{[1
,2
]}

Zhao, Min ^{[1
,2
]}

机构：

[1] Wenzhou Univ, Sch Life & Environm Sci, Wenzhou 325035, Zhejiang, Peoples R China

[2] Wenzhou Univ, Zhejiang Prov Key Lab Water Environm & Marine Bio, Wenzhou 325035, Zhejiang, Peoples R China

[3] Univ Northern British Columbia, Environm Engn Program, Prince George, BC V2N 4Z9, Canada

[4] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shanxi, Peoples R China

[5] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

COMPLEXITY | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

RATIO-DEPENDENT PREDATION; HOPF-BIFURCATION-ANALYSIS; MODEL; BEHAVIOR; PLANKTON; CYCLES; MEMORY;

D O I：

10.1155/2020/7134869

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a heterogeneous diffusive prey-predator system is first proposed and then studied analytically and numerically. Some sufficient conditions are derived, including permanence and extinction of system and the boundedness of the solution. The existence of periodic solution and its stability are discussed as well. Furthermore, numerical results indicate that both the spatial heterogeneity and the time-periodic environment can influence the permanence and extinction of the system directly. Our numerical results are consistent with the analytical analysis.

引用

页数：13

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