A Study on the Dynamical Behaviour of a Two Predator-One Prey Model Incorporating a Non-infectious Disease in Prey

A mathematical model of two predators hunting on a single type of prey is constructed in this study. We also include the fact that the two predator species fight for food and shelter both within and between species. Prey confronts biomass loss in predator–prey interactions, which is well documented, but predators also face the risk of contracting an infection from prey, which is less well investigated. We have thus taken this into consideration in this paper. The two predators’ predation functions are assumed to be the same and follow the Holling Type-I functional response. All ecologically possible equilibrium points are found analytically and numerically. Stability and bifurcation analyses are performed thereafter. The analytical conclusions are demonstrated and validated through the use of numerical simulations.