Persistence in a Three Species Lotka-Volterra Nonperiodic Predator-Prey System

ZHANG Yin-ping; SUN Ji-tao

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(8): 792-796

ZHANG Yin-ping, SUN Ji-tao. Persistence in a Three Species Lotka-Volterra Nonperiodic Predator-Prey System[J]. Applied Mathematics and Mechanics, 2000, 21(8): 792-796.

Citation:

ZHANG Yin-ping, SUN Ji-tao. Persistence in a Three Species Lotka-Volterra Nonperiodic Predator-Prey System[J]. Applied Mathematics and Mechanics, 2000, 21(8): 792-796.

Citation:

ZHANG Yin-ping, SUN Ji-tao. Persistence in a Three Species Lotka-Volterra Nonperiodic Predator-Prey System[J]. Applied Mathematics and Mechanics, 2000, 21(8): 792-796.

PDF( 209 KB)

Persistence in a Three Species Lotka-Volterra Nonperiodic Predator-Prey System

Institute of Applied Mathematics, Shanghai Tiedao University, Shanghai 200331, P R China

Received Date: 1999-03-12
Rev Recd Date: 2000-03-21
Publish Date: 2000-08-15

Abstract

Abstract

The predator-prey model for three species in which the right-hand sides are nonperiodic functions in time were considered. It's proved that the model is persistent under appropriate conditions.
- persistence,
- predator-prey system,
- nonperiodic

FullText(HTML)

References(5)

References

[1]	CHEN Lan-sun, PENG Qiu-liang.Persistence in a three species Lotka-Volterra periodic predator-prey system[J].System Science and Mathematical Science,1994,7(4);337-343.
[2]	Ahmad S.Convergence and ultimate bounds of solution of the nonautonpmmous Volterra-Lotka competition equation[J].J Math Anal Appl,1987,127(3);377-387.
[3]	Zitan Amine.A periodic prey-predator system[J].J Math Anal Appl,1994,185(4);477-489.
[4]	Tineo A.On the asymptotic behaviour of some population model[J].J Math Anal Appl,1992,16(5);516-529.
[5]	Tineo A, Alvarez C.A different consideration about the globally asymptotically stable solution of the periodic N-competing species problems[J].J Math Anal Appl,1991,159(1);44-50.