Global exponential stability analysis for a delayed diffusive Nicholson’s blowflies equation
Abstract
A modified Nicholson’s blowflies equation accompanying distinct time-varying delays is established in this paper. By applying some novel analytical methods for differential inequalities and the fluctuation lemma, a sufficient criterion is obtained to assure the stability and global exponential attractivity of the positive steady state to the addressed delayed reaction-diffusion equation (DRDE) with Neumann boundary condition, which completely refine and generalize certain existing works. Additionally, a numerical simulation is given to verify the correctness of the theoretical results.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Neural Networks Stability and Synchronization
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Advances in Continuous and Discrete Models
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 5 March 2026
- Language
- EN