期刊论文

Li, WJ;Li, Wenjie;Yu, JS

英文

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

1531-3492

2025

3541-3562

10.3934/dcdsb.2025034

This work is supported by the Natural Science Foundation of China (No.12361037, No.12331017, No. 12326357, No.12326354), the Yunnan Fundamental Research Projects (No.202301AT070470), the Project funded by China Postdoctoral Science Foundation (No.2023M730578), Scientific Research Project of Hunan Provincial Department of Education (No.21B0722, No.23C0340, No.24B0741).

本校为第一机构

In this paper, a degenerated reaction-diffusive avian influenza model with logistic source and spatial heterogeneity is proposed. We analyze the global compact attractor of the solution semi-flow of the model using the $ k $-contraction method. Furthermore, the threshold dynamics in terms of the basic reproduction number $ \mathcal{R}_0^{h} $ are investigated. Specifically, if $ \mathcal{R}_0^{h} < 1 $, the infection-free steady state of the system is globally asymptotically stable. If $ \mathcal{R}_0^{h} >1 $, then the endemic equilibrium is uniformly persistent. Finally, numerical simulation...