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 ...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.展开更多
This paper is concerned with impulsive Nicholson＇s blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost per...This paper is concerned with impulsive Nicholson＇s blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential convergence of the almost periodic positive solution by Lyapunov functional.展开更多
文摘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.
基金The author thanks the referees for their valuable comments and suggestions in improving the presentation of the paper. This work is supported by Natural Science Foundation of Education Department of Anhui Province （KJ2014A043）.
文摘This paper is concerned with impulsive Nicholson＇s blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential convergence of the almost periodic positive solution by Lyapunov functional.
