Global Stability Analysis of a Ratio-Dependent Predator-Prey System

LU Tie-jun; WANG Mei-juan; LIU Yan

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(4): 447-452

LU Tie-jun, WANG Mei-juan, LIU Yan. Global Stability Analysis of a Ratio-Dependent Predator-Prey System[J]. Applied Mathematics and Mechanics, 2008, 29(4): 447-452.

Citation:

LU Tie-jun, WANG Mei-juan, LIU Yan. Global Stability Analysis of a Ratio-Dependent Predator-Prey System[J]. Applied Mathematics and Mechanics, 2008, 29(4): 447-452.

Citation:

LU Tie-jun, WANG Mei-juan, LIU Yan. Global Stability Analysis of a Ratio-Dependent Predator-Prey System[J]. Applied Mathematics and Mechanics, 2008, 29(4): 447-452.

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Global Stability Analysis of a Ratio-Dependent Predator-Prey System

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China

Received Date: 2007-08-12
Rev Recd Date: 2008-02-27
Publish Date: 2008-04-15

Abstract

Abstract

A ratio dependent predator-prey system with Holling type ó functional response was considered.The sufficient condition of the global asymptotic stability for the positive equilibrium and the existence of the limit cycle were given by studying the locally asymptotic stability of the positive equilibrium.At last,the condition when the positive equilibrium is no hyperbolic equilibrium was discussed by Hopf bifurcation.
- ratio-dependent,
- global asymptotic stability,
- functional response,
- Hopf bifurcation

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References(8)

References

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