Abstract
This paper deals with a discrete Nicholson’s blowflies model. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential stability of the almost periodic positive solution by Liapunov functional. We obtain new results and complement the previously obtained results in the past literatures.
Funding statement: Funding: This work is supported by the Natural Science Foundation of Education Department of Anhui Province (No. KJ2014A043).
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©2015 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Study on the Complex Neuron Model’s Reduction and Its Dynamic Characteristics
- Collocation Method for the Modeling of Membrane Gas Permeation Systems
- Three-Dimensional Flow Optimization of a Nozzle with a Continuous Adjoint
- Numerical Simulations and Research of Heat Transfer in Pneumatic Pulsator
- Numerical Solution of MHD Stagnation Point Flow of Williamson Fluid Model over a Stretching Cylinder
- Experimental and Numerical Analysis of Qinling Mountain Engineered Rocks during Pulse-Shaped SHPB Test
- Numerical Study of Free Convection in a Doubly Stratified Non-Darcy Porous Medium Using Spectral Quasilinearization Method
- Existence and Exponential Stability of the Unique Almost Periodic Positive Solution for Discrete Nicholson’s Blowflies Model
- Conservation Laws and Exact Solutions with Symmetry Reduction of Nonlinear Reaction Diffusion Equations
Artikel in diesem Heft
- Frontmatter
- Study on the Complex Neuron Model’s Reduction and Its Dynamic Characteristics
- Collocation Method for the Modeling of Membrane Gas Permeation Systems
- Three-Dimensional Flow Optimization of a Nozzle with a Continuous Adjoint
- Numerical Simulations and Research of Heat Transfer in Pneumatic Pulsator
- Numerical Solution of MHD Stagnation Point Flow of Williamson Fluid Model over a Stretching Cylinder
- Experimental and Numerical Analysis of Qinling Mountain Engineered Rocks during Pulse-Shaped SHPB Test
- Numerical Study of Free Convection in a Doubly Stratified Non-Darcy Porous Medium Using Spectral Quasilinearization Method
- Existence and Exponential Stability of the Unique Almost Periodic Positive Solution for Discrete Nicholson’s Blowflies Model
- Conservation Laws and Exact Solutions with Symmetry Reduction of Nonlinear Reaction Diffusion Equations