Mean-square almost periodic solution for impulsive stochastic Nicholson’s blowflies model with delays. (English) Zbl 1273.92048

Zhou, Hui; Zhou, Zongfu; Qiao, Zongmin

Appl. Math. Comput. 219, No. 11, 5943-5948 (2013).

Summary: A class of impulsive stochastic Nicholson’s blowflies model is investigated by applying Cauchy matrix. Under proper conditions, the existence and exponential stability of square-mean almost periodic solutions for the model with multiple nonlinear harvesting terms and delays. Moreover, an example is provided to illustrate the effectiveness of the results.

MSC:

92D25	Population dynamics (general)
60H10	Stochastic ordinary differential equations (aspects of stochastic analysis)

Keywords:

Nicholson’s blowflies model; mean-square almost periodic solution; impulsive stochastic

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