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

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.

具有收获率和非线性死亡率的脉冲Nicholoson's blowflies模型正周期解

研究了一类具有非线性收获率和非线性依赖死亡率的脉冲Nicholoson's blowflies模型.利用重合度理论和不等式分析技巧,获得了该模型至少存在一个正周期解的一些充分条件,对该模型无脉冲情形的相关研究结果进行了推广和研究.此外,给出一个合适的例子来说明所得结果的可行性.

具有非线性密度死亡率的时滞Nicholson飞蝇方程的持久性

利用微分不等式的技巧和函数上下极限的性质,建立了一类具有非线性密度死亡率的时滞Nicholson飞蝇方程解的正性和整体存在性,借此提出保证系统具有持久性的充分性判据,改进和推广了已有文献的相应结果,并结合实际的生物模型验证了理论结果的有效性。

具有非线性死亡密度和连续分布时滞的Nicholson飞蝇模型的周期解

本文研究了一类定义在非负函数空间上具有非线性死亡密度和连续分布时滞的Nicholson飞蝇模型，获得了判定该模型正周期解存在唯一和指数稳定的充分性判据，并结合实际例子的数值模拟展示了所获得理论结果的有效性．

具有收获率的脉冲广义Hematopoiesis模型正周期解新结果

研究了一类具有非线性收获率和非线性依赖死亡率的脉冲广义Hematopoiesis模型的正周期解.通过利用重合度理论和不等式分析技巧,获得了其周期解存在性的充分条件.最后,列举一个例子表明本文结果的有效性.