In the present work, we employ the new concept of weighted piecewise pseudo almost automorphic functions and study the impulsive Mackey–Glass model with mixed delays and nonlinear harvesting term. First, we give essential lemmas and some composition theorems related to the considered space. Second, by a suitable fixed-point theorem and the properties of the weighted piece-wise pseudo almost automorphic space, the existence and uniqueness of the weighted piecewise pseudo almost automorphic solutions are established. Furthermore, by Gronwall inequality and impulsive differential inequalities, we obtained the exponential, asymptotic stability of the weighted piecewise pseudo almost automorphic solutions. Finally, four examples and their numerical simulations are given to illustrate that the obtained results are feasible and effective.

在目前的工作中，我们采用加权分段伪几乎自纯函数的新概念，并研究具有混合时滞和非线性收获项的脉冲Mackey-Glass模型。首先，我们给出必要的引理和与所考虑的空间有关的一些合成定理。其次，通过合适的不动点定理和加权分段伪近似自同构空间的性质，建立了加权分段伪近似自同构解的存在性和唯一性。此外，通过Gronwall不等式和脉冲微分不等式，我们获得了加权分段伪几乎自同构解的指数渐近稳定性。最后，通过四个算例和数值模拟说明了所得结果是可行和有效的。