Dynamics of a predator-prey model with disease in the predator

The present investigation deals with a predator-prey model with disease that spreads among the predator species only. The predator species is split out into two groups - the susceptible predator and the infected predator both of which feeds on prey species. The stability and bifurcation analyses are carried out and discussed at length. On the basis of the normal form theory and centermanifold reduction, the explicit formulae are derived to determine stability and direction of Hopf bifurcating periodic solution. An extensive quantitative analysis has been performed in order to validate the applicability of our model under consideration.