Permanence of a Semi-Ratio-Dependent Predator-Prey System with Nonmonotonic Functional Response and Time Delay

Joint Authors

Li, Xuepeng
Yang, Wensheng

Source

Abstract and Applied Analysis

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-09-07

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

Sufficient conditions for permanence of a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay x˙1(t)=x1(t)[r1(t)−a11(t)x1(t−τ(t))−a12(t)x2(t)/(m2+x12(t))], x˙2(t)=x2(t)[r2(t)−a21(t)x2(t)/x1(t)], are obtained, where x1(t) and x2(t) stand for the density of the prey and the predator, respectively, and m≠0 is a constant.

τ(t)≥0 stands for the time delays due to negative feedback of the prey population.

American Psychological Association (APA)

Li, Xuepeng& Yang, Wensheng. 2009. Permanence of a Semi-Ratio-Dependent Predator-Prey System with Nonmonotonic Functional Response and Time Delay. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-511626

Modern Language Association (MLA)

Li, Xuepeng& Yang, Wensheng. Permanence of a Semi-Ratio-Dependent Predator-Prey System with Nonmonotonic Functional Response and Time Delay. Abstract and Applied Analysis No. 2009 (2009), pp.1-6.
https://search.emarefa.net/detail/BIM-511626

American Medical Association (AMA)

Li, Xuepeng& Yang, Wensheng. Permanence of a Semi-Ratio-Dependent Predator-Prey System with Nonmonotonic Functional Response and Time Delay. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-511626

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-511626