An impulsive periodic predator-prey Lotka-Volterra type dispersal system with mixed functional responses

被引：5

作者：

Feng L. ^{[1
]}

Liu Z. ^{[2
,3
]}

机构：

[1] School of Mathematics and Computer Science, Panzhihua University

[2] School of Science, Chongqing Jiaotong University

[3] Department of Mathematics, Hangzhou Normal University

来源：

Liu, Z. (c_liu2908@163.com) | 1600年 / Springer Verlag卷 / 45期

关键词：

Diffusion; Global stability; Impulses; Permanence; Predator-prey;

D O I：

10.1007/s12190-013-0721-x

中图分类号：

学科分类号：

摘要：

An impulsive two species periodic predator-prey Lotka-Volterra type dispersal system with mixed functional responses is presented and studied in this paper. Conditions for the permanence and extinction of the predator-prey system, and for the existence of a unique globally stable periodic solution are established. Numerical examples are shown to verify the validity of our results. © 2013 Korean Society for Computational and Applied Mathematics.

引用

页码：235 / 257

页数：22

共 50 条

[1] Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
Lijun Xu
Wenquan Wu
[J]. Advances in Difference Equations, 2014
[2] Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
Xu, Lijun
Wu, Wenquan
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[3] 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
[4] Impulsive control of uncertain Lotka-Volterra predator-prey system
Li, Dong
Wang, Shilong
Zhang, Xiaohong
Yang, Dan
[J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (04) : 1572 - 1577
[5] Traveling waves for a periodic Lotka-Volterra predator-prey system
Wang, Xinjian
Lin, Guo
[J]. APPLICABLE ANALYSIS, 2019, 98 (14) : 2619 - 2638
[6] Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
Liu, XN
Chen, LS
[J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (02) : 311 - 320
[7] PERSISTENCE IN A THREE SPECIES LOTKA-VOLTERRA PERIODIC PREDATOR-PREY SYSTEM
CHEN Lansun
PENG Qiuliang(Institute of Mathematics
[J]. Journal of Systems Science & Complexity, 1994, (04) : 337 - 343
[8] Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays
Meng, Xinzhu
Chen, Lansun
[J]. JOURNAL OF THEORETICAL BIOLOGY, 2006, 243 (04) : 562 - 574
[9] Permanence in nonautonomous Lotka-Volterra system with predator-prey
Zhao, JD
Jiang, J
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (01) : 99 - 109
[10] The diffusive Lotka-Volterra predator-prey system with delay
Al Noufaey, K. S.
Marchant, T. R.
Edwards, M. P.
[J]. MATHEMATICAL BIOSCIENCES, 2015, 270 : 30 - 40

← 1 2 3 4 5 →