The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System

Author

Jiao, Jianjun

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-10-26

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

We investigate a predator-prey model with impulsive diffusion on predator and stage structure on prey.

The globally attractive condition of prey-extinction periodic solution of the system is obtained by the stroboscopic map of the discrete dynamical system.

The permanent condition of the system is also obtained by the theory of impulsive delay differential equation.

The results indicate that the discrete time delay has influence on the dynamical behaviors of the system.

Finally, some numerical simulations are carried out to support the analytic results.

American Psychological Association (APA)

Jiao, Jianjun. 2010. The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-492950

Modern Language Association (MLA)

Jiao, Jianjun. The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-492950

American Medical Association (AMA)

Jiao, Jianjun. The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-492950

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-492950