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Existence and exponential stability of piecewise mean-square almost periodic solutions for impulsive stochastic Nicholson’s blowflies model on time scales. (English) Zbl 1338.37131

Summary: A class of impulsive stochastic Nicholson’s blowflies model with patch structure and nonlinear harvesting terms is introduced and studied on time scales. By using contraction mapping principal and Gronwall-Bellman inequality technique, some sufficient conditions for the existence and exponential stability of piecewise mean-square almost periodic solutions for the model with infinite delays are established on time scales. Finally, an example is given to demonstrate the validity of the conditions of the main theorem.

MSC:

37N25 Dynamical systems in biology
34N05 Dynamic equations on time scales or measure chains
92D25 Population dynamics (general)
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
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