Stability analysis for a Holling II predator-prey systems with prey-taxis and harvesting rate
The Holling II predator-prey systems with prey-taxis and proportional harvest rate are investigated. By analyzing the eigenvalue problem of the linearized models at the unique positive equilibrium point, we derive the conditions for the local asymptotic stability and Turing instability of the positive equilibrium solution. Further, numerical simulations are conducted to illustrate the obtained theorems.
Authors
- Tonglin Fu (ORCID: https://orcid.org/0000-0003-1697-956X)
- Zhenqiang Ma (ORCID: https://orcid.org/0000-0001-9214-1342)
- Lili Zhang (ORCID: https://orcid.org/0000-0002-3573-0818)
Institutions
- Longdong University (CN)
Publication Details
- Journal
- Advances in Continuous and Discrete Models
- Published
- 2025-05-27
- DOI
- https://doi.org/10.1186/s13662-025-03956-2
- Primary Topic
- Mathematical and Theoretical Epidemiology and Ecology Models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Natural Science Foundation of Gansu Province