Dynamical Behavior for a Food-Chain Model with Impulsive Harvest and Digest Delay
Joint Authors
Tian, Baodan
Chen, Ning
Qiu, Yanhong
Zhong, Shouming
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate the dynamics of a food-chain system with digest delay and periodic harvesting for the prey.
By using the comparison theorem, small amplitude skills in the impulsive differential equation, and a special qualitative analysis method in the delay differential equation, we prove that there exists a predators-eradication periodic solution which is globally attractive and show that the pest population can be controlled under the economic threshold level and the system can be uniformly permanent when the harvest period T is long enough or the harvesting rate δ is not too large.
Furthermore, we perform a series of numerical simulations to display the effects of the digest delay and periodic harvesting on the dynamic behavior of the food-chain system.
American Psychological Association (APA)
Tian, Baodan& Zhong, Shouming& Chen, Ning& Qiu, Yanhong. 2014. Dynamical Behavior for a Food-Chain Model with Impulsive Harvest and Digest Delay. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1037738
Modern Language Association (MLA)
Tian, Baodan…[et al.]. Dynamical Behavior for a Food-Chain Model with Impulsive Harvest and Digest Delay. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1037738
American Medical Association (AMA)
Tian, Baodan& Zhong, Shouming& Chen, Ning& Qiu, Yanhong. Dynamical Behavior for a Food-Chain Model with Impulsive Harvest and Digest Delay. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1037738
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1037738