Qualitative Analysis of a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth

Joint Authors

Wang, Wenjuan
Yue, Zongmin

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-03-25

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

We investigated the dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition.

Some qualitative properties, including the dissipation, persistence, and local and global stability of positive constant solution, are discussed.

Moreover, we give the refined a priori estimates of positive solutions and derive some results for the existence and nonexistence of nonconstant positive steady state.

American Psychological Association (APA)

Yue, Zongmin& Wang, Wenjuan. 2013. Qualitative Analysis of a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-458799

Modern Language Association (MLA)

Yue, Zongmin& Wang, Wenjuan. Qualitative Analysis of a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-458799

American Medical Association (AMA)

Yue, Zongmin& Wang, Wenjuan. Qualitative Analysis of a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-458799

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-458799