Almost periodic solution for a new type of neutral impulsive stochastic Lasota-Wazewska timescale model

Abstract In this paper, we propose two new concepts of mean-square almost periodic stochastic process based on a new concept of periodic time scales introduced by Adivar (2013). Then we provide some sufficient conditions to guarantee the existence of mean-square almost periodic solution for a new type of neutral impulsive stochastic Lasota–Wazewska model involving q -difference model on time scales.

[1]  Yu Fei,et al.  Three positive periodic solutions to nonlinear neutral functional differential equations with impulses and parameters on time scales , 2010, Math. Comput. Model..

[2]  Jinde Cao,et al.  Stability of Markovian jump neural networks with impulse control and time varying delays , 2012 .

[3]  K. Gopalsamy,et al.  Almost Periodic Solutions of Lasota–Wazewska-type Delay Differential Equation , 1999 .

[4]  Gani Tr. Stamov.  On the existence of almost periodic solutions for the impulsive Lasota-Wazewska model , 2009, Appl. Math. Lett..

[5]  Ahmed Alsaedi,et al.  Impulsive fractional q-integro-difference equations with separated boundary conditions , 2016, Appl. Math. Comput..

[6]  Jinde Cao,et al.  Stability Analysis of Markovian Jump Stochastic BAM Neural Networks With Impulse Control and Mixed Time Delays , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[7]  Quanxin Zhu,et al.  pth Moment exponential stability of impulsive stochastic functional differential equations with Markovian switching , 2014, J. Frankl. Inst..

[8]  Murat Adivar,et al.  A new periodicity concept for time scales , 2010, 1012.2002.

[9]  D. O’Regan,et al.  Matrix measure on time scales and almost periodic analysis of the impulsive Lasota–Wazewska model with patch structure and forced perturbations , 2016 .

[10]  Jinde Cao,et al.  Exponential input-to-state stability of stochastic Cohen–Grossberg neural networks with mixed delays , 2014, Nonlinear Dynamics.

[11]  Yonggui Kao,et al.  Exponential stability and instability of impulsive stochastic functional differential equations with Markovian switching , 2015, Appl. Math. Comput..

[12]  M. Bohner,et al.  The Beverton–Holt q-difference equation , 2013, Journal of biological dynamics.

[13]  Chao Wang,et al.  Existence and exponential stability of piecewise mean-square almost periodic solutions for impulsive stochastic Nicholson's blowflies model on time scales , 2014, Appl. Math. Comput..