Permanence and Global Attractivity of a Stage-Structured Predator-Prey Model With Continuous Harvesting on Predator and Impulsive Stocking on Prey

JIAO Jian-jun; CHEN Lan-sun; Juan J. Nieto; Torres Angela

Volume 29 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(5): 589-600

JIAO Jian-jun, CHEN Lan-sun, Juan J. Nieto, Torres Angela. Permanence and Global Attractivity of a Stage-Structured Predator-Prey Model With Continuous Harvesting on Predator and Impulsive Stocking on Prey[J]. Applied Mathematics and Mechanics, 2008, 29(5): 589-600.

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Permanence and Global Attractivity of a Stage-Structured Predator-Prey Model With Continuous Harvesting on Predator and Impulsive Stocking on Prey

1.
School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang 550004, P. R. China;

Received Date: 2007-09-30
Rev Recd Date: 2008-03-18
Publish Date: 2008-05-15

Abstract

Abstract

A stage-structured delayed predator-prey model with impulsive stocking on prey and continuous harvesting on predator is investigated.According to the fact of biological resource management,the assumption of a predator-prey model with stage structure for predator population that each individual predator has the same ability to capture prey was improved.It was assumed that the immature individuals and the mature individuals of the predator population were divided by a fixed age and that immature predator population does not have the ability to attack prey'sufficient conditions, which guarantee the global attractivity of predator-extinction periodic solution and the permanence of the system,were obtained.The results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system,and provides tactical basis for the biological resource management.Furthermore,numerical analysis is inserted to illuminate the dynamics of the system.
- stage-structured,
- impulsive stocking,
- continuous harvesting,
- global attractivity,
- permanence

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References

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