Work

A Caputo Fractional Lotka-volterra Model for Competitive Opinion Dynamics: Stability Analysis and Data-driven Validation

Year: 2026

Type: article

Abstract: Competitive opinion dynamics in socio-economic systems often exhibit memory and history-dependent interactions that cannot be adequately captured by classical integer-order models. In this paper, we propose a Caputo fractional-order Lotka-Volterra framework to describe the competition between two interacting opinions and provide a rigorous mathematical analysis of the resulting system. By reformulating the model in an equivalent Volterra integral form, we establish existence and uniqueness of solutions and conduct a local stability analysis based on the Jacobian matrix and the Matignon criterion.The analysis shows that the coexistence equilibrium is asymptotically stable for $0

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20260064

Authors: Muath Awadalla, Abulrahman A. Sharif

Institutions: King Faisal University, Dr. Babasaheb Ambedkar Marathwada University, Hodeidah University

Language: English

Topic: Opinion Dynamics and Social Influence

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: King Faisal University

OpenAlex ID: W7203836400