Analysis of disease mediated predator-prey system with fractional time derivative under climatic stressors

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Periyar University, Salem 636011, India.

2 Department of Mathematics, Bharathiar University, Coimbatore 641046, India.

Abstract

This study presents a novel fractional order dynamical system modelling of disease-mediated predator-prey interactions under climatic stressors. The framework incorporates: (i) temperature dependent growth reduction (ii) wind modulated predation efficiency (iii) disease mediated predator through a time fractional derivative formulation. We thoroughly examine the qualitative properties, in order to establish sufficient conditions for the existence, positivity, and uniqueness of solutions. We also look into the quantitative behavior of the system by analyzing the stability of positive equilibrium points, and derive criteria for both local and global stability. We conduct comprehensive numerical simulations to verify our theoretical conclusions, showing that analytical results remain consistent under different parametric impacts.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 05 June 2026

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History

  • Receive Date: 11 July 2025
  • Revise Date: 11 May 2026
  • Accept Date: 03 June 2026

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