GLOBAL STABILITY OF A STAGE-STRUCTURED PREDATOR-PREY MODEL WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE II SCHEMES

被引:38
作者
Li, Zhong [1 ,2 ]
Han, Maoan [1 ]
Chen, Fengde [2 ]
机构
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
关键词
Global stability; stage structure; Leslie-Gower; Holling-type II; predator-prey model; SYSTEM; PERSISTENCE; BEHAVIORS;
D O I
10.1142/S179352451250057X
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we consider a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes. Using an iterative technique, we investigate the global stability of the positive equilibrium of the system. Finally, some examples are presented to verify our main result.
引用
收藏
页数:13
相关论文
共 31 条
[1]   A TIME-DELAY MODEL OF SINGLE-SPECIES GROWTH WITH STAGE STRUCTURE [J].
AIELLO, WG ;
FREEDMAN, HI .
MATHEMATICAL BIOSCIENCES, 1990, 101 (02) :139-153
[2]   Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes [J].
Aziz-Alaoui, MA ;
Okiye, MD .
APPLIED MATHEMATICS LETTERS, 2003, 16 (07) :1069-1075
[3]   On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay [J].
Chen, FD .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 180 (01) :33-49
[4]   On a Leslie-Gower predator-prey model incorporating a prey refuge [J].
Chen, Fengde ;
Chen, Liujuan ;
Xie, Xiangdong .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) :2905-2908
[5]   Global stability in a diffusive Holling-Tanner predator-prey model [J].
Chen, Shanshan ;
Shi, Junping .
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) :614-618
[6]   PERSISTENCE IN MODELS OF 3 INTERACTING PREDATOR-PREY POPULATIONS [J].
FREEDMAN, HI ;
WALTMAN, P .
MATHEMATICAL BIOSCIENCES, 1984, 68 (02) :213-231
[7]  
Gapalsamy K., 1992, STABILITY OSCILLATIO
[8]   An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes [J].
Guo, Hongjian ;
Song, Xinyu .
CHAOS SOLITONS & FRACTALS, 2008, 36 (05) :1320-1331
[9]   Global attractivity of almost-periodic solution in a model of hematopoiesis with feedback control [J].
Hong, Penghua ;
Weng, Peixuan .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) :2267-2285
[10]   Dynamics of a Stage-Structured Leslie-Gower Predator-Prey Model [J].
Huo, Hai-Feng ;
Wang, Xiaohong ;
Castillo-Chavez, Carlos .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011