Persistence and periodic orbits for nonautonomous diffusion Volterra predator-prey system with undercrowding effect

被引：0

作者：

Wang, JK ^{[1
]}

机构：

[1] Guangxi Normal Univ, Dept Math, Guilin 541004, Peoples R China

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS | 2000年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers a predator-prey system in which one of two species can diffuse between two patches, while the other is confined to one patch and cannot diffuse. It is proved that the system can be made persistent under some appropriate conditions. Further, if the system is a periodic system, it can have a strictly positive periodic orbit which is globally asymptotically stable under the appropriate conditions.

引用

页码：333 / 338

页数：6

共 50 条

[21] Permanence in nonautonomous predator-prey lotka-volterra systems
Sun W.-J.
Teng Z.-D.
Yu A.-H.
[J]. Acta Mathematicae Applicatae Sinica, 2002, 18 (3) : 411 - 422
[22] PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY
陈凤德
史金麟
陈晓星
[J]. Annals of Applied Mathematics, 2004, (02) : 111 - 117
[23] Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays
Xu, R
Chaplain, MAJ
Davidson, FA
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03): : 823 - 831
[24] Traveling waves for a periodic Lotka-Volterra predator-prey system
Wang, Xinjian
Lin, Guo
[J]. APPLICABLE ANALYSIS, 2019, 98 (14) : 2619 - 2638
[25] Persistence In Three Species Lotka—Volterra Periodic Predator—Prey System
Zhang rongfa
[J]. 伊犁师范大学学报, 1997, (S1) : 15 - 19
[26] Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
Lijun Xu
Wenquan Wu
[J]. Advances in Difference Equations, 2014
[27] Persistence of a discrete reaction-diffusion predator-prey system
Tineo, A
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (05) : 627 - 634
[28] THE PERIODIC PREDATOR-PREY LOTKA-VOLTERRA MODEL WITH IMPULSIVE EFFECT
Tang, Sanyi
Chen, Lansun
[J]. JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY, 2002, 2 (3-4) : 267 - 296
[29] Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
Xu, Lijun
Wu, Wenquan
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[30] On the average persistence and extinction in nonautonomous predator-prey Kolmogorov systems
Han, Xinli
Teng, Zhidong
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (3-4): : 367 - 385

← 1 2 3 4 5 →