STABILITY ANALYSIS OF A FRACTIONAL ORDER MODEL FOR HOST-PARASITE INTERACTIONS

Document Type : Research Paper

Authors

IPIM Laboratory, National School of Applied Sciences, Sultan Moulay Slimane University, Morocco.

Abstract

This study analyzes a fractional-order SI parasite-host model. We focus on examining key properties of
the solutions, such as existence, uniqueness, positivity, and boundedness. Additionally, we examine the
local and global stability of the equilibrium points, with particular attention to the basic reproduction
number R0. Finally, numerical simulations are carried out to illustrate the theoretical part.

Keywords

Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 02 October 2025
  • Receive Date: 20 January 2025
  • Revise Date: 21 August 2025
  • Accept Date: 23 September 2025