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Math. Comput. Appl. 2016, 21(2), 10; doi:10.3390/mca21020010

Positive Almost Periodic Solutions for a Delayed Predator–Prey Model with Hassell-Varley Type Functional Response

1
City College, Kunming University of Science and Technology, Kunming 650051, China
2
School of Mathematics and Computer Science, Ningxia Normal University, Guyuan, Ningxia 756000, China
3
School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China
*
Author to whom correspondence should be addressed.
Academic Editor: Mehmet Pakdemirli
Received: 30 March 2015 / Revised: 26 February 2016 / Accepted: 26 February 2016 / Published: 1 April 2016
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Abstract

By means of a fixed point theorem of coincidence degree theory, sufficient conditions are established for the existence of a positive almost periodic solution to a kind of delayed predator–prey model with Hassell-Varley type functional response. The method used in this paper offers a possible means to study the existence of positive almost periodic solutions to the models in biological populations. Finally, an example as well as numerical simulations are given to illustrate the feasibility and effectiveness of our results. View Full-Text
Keywords: almost periodic solution; coincidence degree; predator–prey; Hassell-Varley almost periodic solution; coincidence degree; predator–prey; Hassell-Varley

This paper was processed and accepted under the editorial system of the ASR before its transfer to MDPI.

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MDPI and ACS Style

Zhang, T.; Pang, L.; Liao, Y. Positive Almost Periodic Solutions for a Delayed Predator–Prey Model with Hassell-Varley Type Functional Response. Math. Comput. Appl. 2016, 21, 10.

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