Existence and exponential stability of piecewise mean-square almost periodic solutions for impulsive stochastic Nicholson's blowflies model on time scales

DOI10.1016/j.amc.2014.09.046zbMath1338.37131OpenAlexW2078806831MaRDI QIDQ298419

Chao Wang

Publication date: 20 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.046

zbMATH Keywords

time scalespatch structureimpulsive stochasticNicholson's blowflies modelpiecewise mean-square almost periodic solution

Mathematics Subject Classification ID

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

Related Items (17)

Novel stability criteria on a patch structure Nicholson's blowflies model with multiple pairs of time-varying delays ⋮ Almost periodic solution analysis in a two-species competitive model of plankton alleopathy with impulses ⋮ Dynamic behaviors for a delay Lasota-Wazewska model with feedback control on time scales ⋮ Stochastic patch structure Nicholson's blowflies system with mixed delays ⋮ Extinction and persistence of a stochastic SICA epidemic model with standard incidence rate for HIV transmission ⋮ Almost periodic solution for a new type of neutral impulsive stochastic Lasota-Wazewska timescale model ⋮ Almost periodic dynamics for impulsive delay neural networks of a general type on almost periodic time scales ⋮ Nabla inequalities and permanence for a logistic integrodifferential equation on time scales ⋮ Quaternion-valued dynamic equations and Henstock-Kurzweil delta-integrals on time scales: a survey ⋮ Mean-square almost periodic solutions for impulsive stochastic host-macroparasite equation on time scales ⋮ Square mean almost automorphic solution of stochastic evolution equations with impulses on time scales ⋮ Almost periodic oscillations for delay impulsive stochastic Nicholson's blowflies timescale model ⋮ Impulsive stochastic BAM neural networks on an invariant under a translation time scale ⋮ Stability and approximation of almost automorphic solutions on time scales for the stochastic Nicholson's blowflies model ⋮ A classification of time scales and analysis of the general delays on time scales with applications ⋮ Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations ⋮ Matrix measure on time scales and almost periodic analysis of the impulsive Lasota–Wazewska model with patch structure and forced perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• A comparative study of deterministic and stochastic dynamics for a non-autonomous allelopathic phytoplankton model
• Mean-square almost periodic solution for impulsive stochastic Nicholson's blowflies model with delays
• Mean square almost periodic solutions for impulsive stochastic differential equations with delays
• Existence and exponential stability of positive almost periodic solution for Nicholson-type delay systems
• Global dynamics of Nicholson-type delay systems with applications
• Three positive periodic solutions to nonlinear neutral functional differential equations with impulses and parameters on time scales
• Positive almost periodic solution for a class of Nicholson's blowflies model with multiple time-varying delays
• Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales
• Almost periodic solutions for abstract impulsive differential equations
• Almost periodic solutions for an impulsive delay Nicholson's blowflies model
• Almost periodic solution of an impulsive differential equation model of plankton allelopathy
• The stochastic dynamic exponential and geometric Brownian motion on isolated time scales
• Nicholson's blowflies differential equations revisited: main results and open problems
• On the existence of almost periodic solutions for the impulsive Lasota-Ważewska model
• On almost periodic processes in impulsive competitive systems with delay and impulsive perturbations
• Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis
• Dynamic equations on time scales: A survey
• Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive \(\nabla\)-dynamic equations on time scales
• Almost periodic dynamics of a discrete Nicholson's blowflies model involving a linear harvesting term
• A further study of almost periodic time scales with some notes and applications
• Almost periodic solutions of impulsive BAM neural networks with variable delays on time scales
• A new approach for positive almost periodic solutions to a class of Nicholson's blowflies model
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Global stability of population models with patch structure
• Perron's theorem for linear impulsive differential equations with distributed delay
• Global exponential stability for a class of impulsive BAM neural networks with distributed delays

This page was built for publication: Existence and exponential stability of piecewise mean-square almost periodic solutions for impulsive stochastic Nicholson's blowflies model on time scales