Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
September 5, 2025Chiang Mai Journal of Science

Nonlinear Dynamics of Violence Diffusion: The Fractional Derivative-Based Numerical Solutions and Stability Analysis

View Full Paper
Ask AI
Bookmark
Share

Authors

YLYun LiInner Mongolia University of TechnologyHKHamza KhanAbbottabad University of Science and TechnologyYAYasir Nadeem AnjamNational Textile University

Discussion

Loading...

Member takes

Overview

Numerical solutions reveal violence diffusion dynamics in a population, indicating fractional methods improve analysis.

Key Points

  • The study finds that violence diffusion dynamics are sensitive to different fractional orders, highlighting complexity in intervention strategies.
  • Results show that stability properties and endemic equilibrium points were identified through qualitative analysis, aiding in model validation.
  • Analytical solutions were derived using the Laplace transform and two decomposition methods, enhancing the model's robustness.
  • MATLAB simulations demonstrated the model's effectiveness in visualizing the dynamics of violence across different population compartments.

Cite This Study

Li et al. (2025) studied this question.

synapsesocial.com/papers/68bb3d552b87ece8dc955eb9https://doi.org/10.12982/cmjs.2025.067
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Fractional Order and Numerical Solution Application of Modeling in the Management of Examination Misconducts2024 · 2 citations
  2. 2Analysis of a Fractional‐Order Mathematical Model on Crime Dynamics Incorporating Police Force and Rehabilitation2026 · 2 citations
  3. 3Mathematical Modeling of Societal Challenges: A Fractional Analysis Perspective2026 · 1 citations
  4. 4MATHEMATICAL ASSESSEMENT OF CRIME DYNAMIC WITH PUBLIC EDUCATION AND POLICE INTERVATION VIA: ABC FRACTIONAL OPERATOR2024
  5. 5Qualitative and numerical analysis of a time-fractional Ebola model in population dynamics2026