Work

Hopf Bifurcation and Stability Analysis of a Fractional-Order Lotka-Volterra Predator-PreyModel with Two Delays

Year: 2026

Type: article

Abstract: This paper investigates the stability and Hopf bifurcation of a class of fractional-order Lotka-Volterra predator-prey models with two time delays. By selecting one time delay as the bifurcation parameter and fixing the other, the criterion for Hopf bifurcation induced by the corresponding time delay is derived. This paper also investigates the interaction between the two time delays via numerical simulations. The results show that the stability of the model can be either weakened or enhanced by appropriately adjusting the time delays. Finally, the feasibility of the proposed findings is verified through numerical examples.

Source: Intelligence & Control

DOI: 10.53941/ic.2026.100005

Authors: Mengfan Zhu, Zunshui Cheng, Youming Xin, Yun Shang, Xue Lin, Jinde Cao

Institutions: Qingdao University of Science and Technology, Southeast University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shandong Province, Qingdao University of Science and Technology