Work

Oscillatory Behavior for an Enterprise Cluster Model with Multiple Delays

Year: 2025

Type: article

Abstract: In this paper, a competition-cooperation enterprise cluster model with delays is studied. The oscillatory behavior of the solutions is investigated. We extend the result in the literature from a mathematical point of view. Make the change of variables and deal with the instability of linearized system. The boundedness of the solutions of the system and the instability of the unique positive equilibrium point will force the system to generate a periodic solution around the equilibrium. Two sufficient conditions to guarantee the periodic oscillation of the solutions are provided based on the instability of the equilibrium point, and computer simulations are given to support the present criteria.

Source: Asian journal of mathematics and computer research

DOI: 10.56557/ajomcor/2025/v32i39407

Author: Chunhua Feng

Institution: Alabama State 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: diamond

OpenAlex ID: W4411254764

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