VOLTERRA MODEL FOR 3 SPECIES PREDATOR-PREY SYSTEMS - BOUNDEDNESS AND STABILITY

被引：48

作者：

KRIKORIAN, N

机构：

[1] Department of Mathematics, Northeastern University, Boston, 02115, Mass.

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 7卷 / 02期

关键词：

Prey Systems; Three Species Predator;

D O I：

10.1007/BF00276925

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The classical Volterra equations modelling three species predatorprey interactions are considered with the intention of developing global properties of their solutions. Thirty-four different cases are exhibited. Global asymptotic stability is established for all non-loop cases. Global boundedness is established for all but one kind of loop case, and a condition is exhibited which insures boundedness for that case also. Finally a particular case is shown to have unbounded solutions. © 1979 Springer-Verlag.

引用

页码：117 / 132

页数：16

共 25 条

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