# Study of LG-Holling type III predator-prey model with disease in predator

## TL;DR

This paper develops and analyzes a Leslie-Gower Holling type III predator-prey model incorporating disease in predators, examining stability, persistence, and boundedness through mathematical analysis and numerical verification.

## Contribution

It introduces a novel predator-prey model with disease dynamics and provides comprehensive stability and persistence analysis with numerical validation.

## Key findings

- Local and global stability conditions established
- Boundedness and existence of solutions proven
- Numerical simulations confirm analytical results

## Abstract

In this article, a Leslie-Gower Holling type III predator-prey model with disease in predator has been developed from both biological and mathematical point of view. The total population is divided into three classes, namely, prey, susceptible predator and infected predator. The local stability, global stability together with sufficient conditions for persistence of the ecosystem near biologically feasible equilibria is thoroughly investigated. Boundedness and existence of the system are established. All the important analytical findings are numerically verified using program software MATLAB and Maple.