Global attractivity of asymptotically almost periodic Nicholson's blowflies models with a nonlinear density-dependent mortality term  

Global attractivity of asymptotically almost periodic Nicholson's blowflies models with a nonlinear density-dependent mortality term

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作  者:Yi Tang Shenglan Xie 

机构地区:[1]College of Mathematics and Computational Science Hunan First Normal University, Changsha Hunan 410205, P. R. China [2]Nanhu College, Jiaxing University, Jiaxing Zhejiang 314001, P. R. China

出  处:《International Journal of Biomathematics》2018年第6期77-91,共15页生物数学学报(英文版)

摘  要:This paper focuses on the study of a class of asymptotically almost periodic Nicholson's blowflies models with a nonlinear density-dependent mortality term. By virtue of differ-ential inequality techniques, a set of easily verifiable sufficient conditions are established to show that every solution of the considered model is asymptotically almost periodic, and it also converges to a same almost periodic function as t →+∞ , which improves and supplements some previously known researches. Moreover, a numerical example is given to test the feasibility and effectiveness of the obtained results.

关 键 词:Nicholson's blowflies model nonlinear density-dependent mortality asymp-totically almost periodic solution convergence. 

分 类 号:O175.7[理学—数学] S718.5[理学—基础数学]

 

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