Globally attracting fixed points in higher order discrete population models

被引：24
作者：
El-Morshedy, Hassan A.
Liz, Eduardo
机构：
[1] Univ Vigo, Dept Matemat Aplicada 2, ETSI Telecomunicac, Vigo 36280, Spain
[2] Fac Sci Damietta, Dept Math, New Damietta 34517, Egypt
[3] ABHA Teachers Coll, Dept Math, Abha, Saudi Arabia
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2006年 / 53卷 / 03期
关键词：
Clark model; delayed population model; age-structured model; global stability; global attractor; permanence;
D O I：
10.1007/s00285-006-0014-1
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We address the global stability properties of the positive equilibrium in a general delayed discrete population model. Our results are used to investigate in detail a well-known model for baleen whale populations.
引用
收藏
页码：365 / 384
页数：20
相关论文
共 37 条
[1]  
an der Heiden U, 2004, DISCRETE CONT DYN-A, V11, P599
[2]   THE DYNAMICS OF PRODUCTION AND DESTRUCTION - ANALYTIC INSIGHT INTO COMPLEX BEHAVIOR [J].
ANDERHEIDEN, U ;
MACKEY, MC .
JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 16 (01) :75-101
[3]  
[Anonymous], 1993, MATH ITS APPL
[4]   On the periodic structure of delayed difference equations of the form xn = f(xn-k) on I and S1 [J].
Balibrea, F ;
Linero, A .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (3-4) :359-371
[5]  
BLOCK LS, 1992, LECT NOTES MATH, V1513, pUR3
[6]   FURTHER ANALYSIS OF CLARKS DELAYED RECRUITMENT MODEL [J].
BOTSFORD, LW .
BULLETIN OF MATHEMATICAL BIOLOGY, 1992, 54 (2-3) :275-293
[7]   On linear perturbations of the Ricker model [J].
Braverman, Elena ;
Kinzebulatov, Damir .
MATHEMATICAL BIOSCIENCES, 2006, 202 (02) :323-339
[8]   DELAYED-RECRUITMENT MODEL OF POPULATION-DYNAMICS, WITH AN APPLICATION TO BALEEN WHALE POPULATIONS [J].
CLARK, CW .
JOURNAL OF MATHEMATICAL BIOLOGY, 1976, 3 (3-4) :381-391
[9]  
CULL P, 1988, B MATH BIOL, V50, P67
[10]  
CULL P, 2003, SCIENTIAE MATH JAPON, V58, P349
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