Existence of at Least Two Periodic Solutions for a Competition System of Plankton Allelopathy on Time Scales

Author

Fang, Hui

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-04-30

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

We study a competition system of the growth of two species of plankton with competitive and allelopathic effects on each other on time scales.

With the help of Mawhin’s continuation theorem of coincidence degree theory, a set of easily verifiable criteria is obtained for the existence of at least two periodic solutions for this model.

Some new existence results are obtained.

An example and numerical simulation are given to illustrate the validity of our results.

American Psychological Association (APA)

Fang, Hui. 2012. Existence of at Least Two Periodic Solutions for a Competition System of Plankton Allelopathy on Time Scales. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993410

Modern Language Association (MLA)

Fang, Hui. Existence of at Least Two Periodic Solutions for a Competition System of Plankton Allelopathy on Time Scales. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993410

American Medical Association (AMA)

Fang, Hui. Existence of at Least Two Periodic Solutions for a Competition System of Plankton Allelopathy on Time Scales. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993410

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993410