IJPAM: Volume 112, No. 4 (2017)

Title

EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE
PERIODIC SOLUTION TO A HOLLING II TYPE
FUNCTIONAL RESPONSE MODEL WITH MUTUAL
INTERFERENCE AND GROUP DEFENSE

Authors

Ru Jiang$^1$, Hongqing Wang$^2$, ChangDong Liu$^3$
$^{1,2,3}$School of Mathematics and Computer Science
Guangdong Ocean University
Zhanjiang, Guangdong, 524088, P.R. CHINA

Abstract

In this paper, by using the comparison principle of differential equation, Mawhin��s continuation theorem and Lyapunov functional, a Holling II type functional response model with mutual interference and group defense is studied. Some sufficient conditions are obtained for the existence and global attractivity of a positive periodic solution of the model.

History

Received: December 21, 2016
Revised: January 19, 2017
Published: February 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 34A34, 34B18
Key Words and Phrases: Holling II type functional response model, positive periodic solutions, Lyapunov functional, global attrativity, Mawhin's coincidence theorem

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How to Cite?

DOI: 10.12732/ijpam.v112i4.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 4
Pages: 777 - 793


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