论文信息 - Global dynamic behaviors for a delayed Nicholson's blowflies model with a linear harvesting term

Global dynamic behaviors for a delayed Nicholson's blowflies model with a linear harvesting term

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 global dynamic behaviors on existence of positive solutions, permanence, and exponential stability of the zero equilibrium point for this model. Moreover, we give two examples and their numerical simulations to illustrate our main results.

Bingwen Liu

[1] Elena Braverman,et al. Nicholson's blowflies differential equations revisited: Main results and open problems , 2010 .

[2] Positive periodic solutions of delayed Nicholson's blowflies model with a linear harvesting term , 2011 .

[3] Fei Long. Positive almost periodic solution for a class of Nicholson’s blowflies model with a linear harvesting term , 2012 .

[4] Junxia Meng,et al. The positive almost periodic solution for Nicholson-type delay systems with linear harvesting terms☆ , 2012 .

[5] On positive periodic solution for the delay Nicholson’s blowflies model with a harvesting term , 2012 .

[6] Pablo Amster,et al. Existence of positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term , 2012, Appl. Math. Lett..

[7] Jianhong Wu,et al. Introduction to Functional Differential Equations , 2013 .

[8] Lijuan Wang. Almost periodic solution for Nicholson’s blowflies model with patch structure and linear harvesting terms , 2013 .

[9] Qiyuan Zhou. The positive periodic solution for Nicholson-type delay system with linear harvesting terms , 2013 .