# Analysis of a fractional order eco-epidemiological model with prey infection and type II functional response

## TL;DR

This paper introduces a fractional order eco-epidemiological model with prey infection and type II functional response, analyzing its mathematical properties and stability to better understand predator-prey dynamics.

## Contribution

It develops a fractional order model incorporating prey infection and type II response, providing new mathematical analysis and stability results for such eco-epidemiological systems.

## Key findings

- Existence, uniqueness, and boundedness of solutions established.
- Local and global stability of equilibrium points proven.
- Model illustrated with numerical examples.

## Abstract

In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type II response function. We prove different mathematical results like existence, uniqueness, non-negativity and boundedness of the solutions of fractional order system. We also prove the local and global stability of different equilibrium points of the system. The results are illustrated with several examples.