Research Article
Ecological Dynamics and Stability Analysis of Predator-Prey Systems under the SEIR Infectious Disease Model
@INPROCEEDINGS{10.4108/eai.17-1-2025.2355242, author={Junmeng Zhang and Shengtao Yan and Weiyou Xu and Xiaoyang Jiang}, title={Ecological Dynamics and Stability Analysis of Predator-Prey Systems under the SEIR Infectious Disease Model }, proceedings={Proceedings of the 4th International Conference on Computing Innovation and Applied Physics, CONF-CIAP 2025, 17-23 January 2025, Eskişehir, Turkey}, publisher={EAI}, proceedings_a={CONF-CIAP}, year={2025}, month={4}, keywords={seir infectious disease model predator-prey model stability numerical simulation}, doi={10.4108/eai.17-1-2025.2355242} }- Junmeng Zhang
Shengtao Yan
Weiyou Xu
Xiaoyang Jiang
Year: 2025
Ecological Dynamics and Stability Analysis of Predator-Prey Systems under the SEIR Infectious Disease Model
CONF-CIAP
EAI
DOI: 10.4108/eai.17-1-2025.2355242
Abstract
This paper investigates the stability of the Leslie-Gower predator-prey model under the influence of the SEIR infectious disease model. By incorporating the SEIR infectious disease model, the predator population is divided into four states: susceptible, exposed, infected, and removed. A predator-prey dynamic model is then established. Through dimensionless processing and discretization methods, the equilibrium points of the model and their stability are analyzed. The eigenvalues of the Jacobian matrix are computed to determine the stability of the equilibrium points, and numerical simulations are used to demonstrate the dynamic behavior of the system under different parameter conditions. The results indicate that the predation rate and disease transmission rate have significant effects on the stability of the system. Reducing these two parameters appropriately can stabilize the system.
