Global Exponential Stability of Periodic Solutions for a Nicholson’s Blowflies Model with a Linear Harvesting Term

Authors

Ani Jiang, College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, Hunan 415000, P.R. ChinaFollow

Author Country (or Countries)

P.R. China

Abstract

In this paper, we study a generalized Nicholson’s blowflies model with a linear harvesting term, which is defined on the positive function space. Under proper conditions, we employ a novel proof to establish some criteria for the existence and global exponential stability of positive periodic solutions for this model. Moreover, we give an example and its numerical simulations to illustrate our main results.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080564

Recommended Citation

Jiang, Ani (2014) "Global Exponential Stability of Periodic Solutions for a Nicholson’s Blowflies Model with a Linear Harvesting Term," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 64.
DOI: http://dx.doi.org/10.12785/amis/080564
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/64