具有三个成长阶段的单种群时滞模型的永久持续生存和全局稳定性

Acta mathematica scientia,Series A

• Articles • Previous Articles Next Articles

ermanence and Global Stability for Single-species Model with Three Life Stages and Time Delay

Gao Shujing ;Chen Lansun

Mathematics and Information Science Institute, Guangzhou University, Guangzhou 510006;

Department of Mathematics and Computer Science, Gannan Normal College, Ganzhou 341000

Received:2004-01-14 Revised:2004-12-30 Online:2006-08-25 Published:2006-08-25
Contact: Gao Shujing

Abstract

Abstract: In this paper, a single-species model with distributed time delay in which
individuals exhibit three life stages is considered. Sufficient conditions
are obtained for the permanence of the system. Moreover, by using Lyapunov function, some conditions for global asymptotic stability of the system are investigated. An example satisfying the conditions of the main resuilts is given.

Key words: Permanence, Global asymptotic stability, Stage structure, Time delay

CLC Number:

34D05

Gao Shujing ;Chen Lansun.

ermanence and Global Stability for Single-species Model with Three Life Stages and Time Delay

[1]	Zeng Xiaping, Lu Wenwen, Pang Guoping, Liang Zhiqing. Single Population Dynamics Model of Fish with Seasonal Switching and Impulsive Perturbations [J]. Acta mathematica scientia,Series A, 2025, 45(4): 1206-1216.
[2]	Yin Ruixia, Wang Zedong, Zhang Long. A Periodic Stage Structure Single-Population Model with Infinite Delay and Feedback Control [J]. Acta mathematica scientia,Series A, 2024, 44(4): 994-1011.
[3]	Yanjun Zhao,Xiaohui Sun,Li Su,Wenxuan Li. Qualitative Analysis of Stochastic SIRS Epidemic Model with Logistic Growth and Beddington-DeAngelis Incidence Rate [J]. Acta mathematica scientia,Series A, 2022, 42(6): 1861-1872.
[4]	Changyou Wang,Nan Li,Tao Jiang,Qiang Yang. On a Nonlinear Non-Autonomous Ratio-Dependent Food Chain Model with Delays and Feedback Controls [J]. Acta mathematica scientia,Series A, 2022, 42(1): 245-268.
[5]	Li Zhouhong, Zhang Fengshuo, Cao Jinde, Alsaedi Ahmed, Alsaadi Fuad E. Almost Periodic Solution for a Non-Autonomous Two Species Competitive System with Feedback Controls on Time Scales [J]. Acta mathematica scientia,Series A, 2017, 37(4): 730-750.
[6]	Luo Ricai, Xu Honglei, Wang Wusheng. Globally Asymptotic Stability of A New Class of Neutral Neural Networks with Time-Varying Delays [J]. Acta mathematica scientia,Series A, 2015, 35(3): 634-640.
[7]	JIANG Yu, MEI Li-Quan, SONG Xin-Yu, TIAN Wei-Jun, DING Xue-Mei. Analysis of an Impulsive Epidemic Model with Time Delays and Nonlinear Incidence Rate [J]. Acta mathematica scientia,Series A, 2012, 32(4): 670-684.
[8]	ZHONG Min-Ling, LIU Xiu-Xiang. Dynamical Analysis of a Predator-prey System with Hassell-Varley-Holling Functional Response [J]. Acta mathematica scientia,Series A, 2011, 31(5): 1295-1310.
[9]	WU Shi-Liang, LIU San-Yang. Global Asymptotic Stability of Bistable Traveling Wave Front in Reaction-diffusion Systems [J]. Acta mathematica scientia,Series A, 2010, 30(2): 440-448.
[10]	Xu Weijian;. Stability and Hopf Bifurcation of an SIS Model with Species Logistic Growth and Saturating Infect Rate [J]. Acta mathematica scientia,Series A, 2008, 28(3): 578-584.
[11]	Wu Shiliang ;Li Wantong. Stability and Traveling Fronts in Lotka-Volterra Cooperation Model with Stage Structure [J]. Acta mathematica scientia,Series A, 2008, 28(3): 454-464.
[12]	Xu Rui; Hao Feilong ;Chen Lansun. A Stage-Structured Predator-Prey Model with Time Delays [J]. Acta mathematica scientia,Series A, 2006, 26(3): 387-395.
[13]	Chen Fengde;Chen Xiaoxing ;Zhang Huiying. Positive Periodic Solutions of a Delayed Predator-Prey System with Holling Type II Functional Response [J]. Acta mathematica scientia,Series A, 2006, 26(1): 93-103.
[14]	DIAO Li-Chun, ZHANG Qiang-Ling, YANG Qi-Chang. The Induction Control of a Single Species Model with Stage Structure [J]. Acta mathematica scientia,Series A, 2005, 25(5): 710-717.
[15]	Song Xinyu. ON THE NONAUTONOMOUS PREDATOR-PREY LOTKA-VOLTERRA DIFFUSION SYSTEMS [J]. Acta mathematica scientia,Series A, 1997, 17(S1): 200-205.

ermanence and Global Stability for Single-species Model with Three Life Stages and Time Delay

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10