Work

The effects of two discrete delays on the competition outcomes in a Beverton-Holt competition model

Year: 2025

Type: article

Abstract: In this paper, we develop and study a Beverton-Holt competition model incorporating two discrete time delays. We establish the existence, uniqueness, and boundedness of solutions. We analyze the stability of equilibrium points under the influence of the delays. Our primary focus is on understanding the impact of these two delays on competition outcomes and species population abundances. Our theoretical and numerical results reveal that delays can destabilize equilibrium states, leading to the emergence of periodic solutions (i.e., population density oscillations) through Hopf bifurcation. Our findings suggest that sufficiently large delays can alter the competition outcome, shifting from species coexistence to the exclusion of one species.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025075

Authors: Qihua Huang, Qiuyan Long, Chunhua Shan

Institutions: Southwest University, University of Toledo

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: diamond

Funder: National Natural Science Foundation of China

Award: G6960509077