Stability of solutions to predator-prey diffusive system with stage-structure

Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (15): 42-47.

Previous Articles Next Articles

Stability of solutions to predator-prey diffusive system with stage-structure

CAO Huaihuo1，3, LI Haiyan3, ZHANG Yong2，3

1.School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
2.School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
3.Department of Mathematics and Computer Science, Chizhou University, Chizhou, Anhui 247100, China

Online:2014-08-01 Published:2014-08-04

一类带阶段结构的捕食-食饵扩散系统的稳定性

曹怀火1，3，李海燕3，张永2，3

1.陕西师范大学数学与信息科学学院，西安 710062
2.兰州大学数学与统计学院，兰州 730000
3.池州学院数学与计算机科学系，安徽池州 247100

Abstract

Abstract: The global behavior of positive solutions to a predator-prey diffusive system with stage-structure under homogeneous Neumann boundary conditions is proved, and stability of the non-negative equilibrium points to system is investigated with the assistance of the spectrum analysis and Lyapunov function.

Key words: cubic predator-prey system, stage-structure, reaction-diffusion, asymptotic stability

摘要： 证明一类带有阶段结构和空间扩散的三次捕食者-食饵扩散系统在齐次Neumann边界条件下正解的整体性态，应用谱分析方法和构造Lyapunov泛函讨论系统非负平衡解的渐近稳定性。

关键词: 三次捕食者-食饵系统, 阶段结构, 反应扩散, 渐近稳定性

CAO Huaihuo1，3, LI Haiyan3, ZHANG Yong2，3. Stability of solutions to predator-prey diffusive system with stage-structure[J]. Computer Engineering and Applications, 2014, 50(15): 42-47.

曹怀火1，3，李海燕3，张永2，3. 一类带阶段结构的捕食-食饵扩散系统的稳定性[J]. 计算机工程与应用, 2014, 50(15): 42-47.

[1]	LI Fuqiang, GAO Lisai, ZHENG Baozhou, GU Xiaoqing. Event-Triggered Secure Control for Networked Systems Under Deception Attacks [J]. Computer Engineering and Applications, 2021, 57(5): 264-270.
[2]	FENG Xiaozhou, ZHOU Yao. Long Time Behavior of Solutions for Predator-Prey System with Saturated Competition and Leslie-Gower Functional Response [J]. Computer Engineering and Applications, 2019, 55(2): 50-53.
[3]	ZHENG Xiuliang1, LIU Jiebing2. Global asymptotic stability of [n]-species Gilpin-Ayala competition systems [J]. Computer Engineering and Applications, 2016, 52(11): 22-25.
[4]	SUO Wenshuang, JIA Yunfeng. Qualitative analysis on coexistence of Brusselator reaction-diffusion model [J]. Computer Engineering and Applications, 2015, 51(23): 65-67.
[5]	YANG Wenbin, LI Yanling, WANG Shanshan. Stability of SIR epidemic model with nonmonotone incidence rate [J]. Computer Engineering and Applications, 2015, 51(13): 37-41.
[6]	LUO Ricai1, XU Honglei2，3. Global asymptotic stability of a class of neutral neural networks with time delays [J]. Computer Engineering and Applications, 2012, 48(6): 30-32.
[7]	ZHANG Hui-xia¹，GAO Xing-bao². Dynamic analysis a class of neural networks with time-varying delays [J]. Computer Engineering and Applications, 2010, 46(23): 50-55.

Stability of solutions to predator-prey diffusive system with stage-structure

一类带阶段结构的捕食-食饵扩散系统的稳定性

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 7

Recommended Articles

Metrics