Role of alternative food and different competition coefficients in controlling chaos in an eco-epidemiological model with disease in prey

Abstract

In this work, we consider an eco-epidemiological model with disease in prey. The role of alternative food is being investigated. Alternative food source for predator is another significant component in the interaction of ecological species and incorporation of this aspect in eco-epidemiological investigations may give some fascinating outcomes. The contribution of this paper is to consider different competition coefficients within the prey population, which leads to the emergent carrying capacity. The permanence and uniform persistence are established. Moreover, we discuss the local and global stability analysis. For bifurcation analysis, the transmission rate has been taken as parameter. The Hopf bifurcation analysis around the endemic equilibrium point is discussed. Further, we also pay attention to the chaotic dynamics which is produced by the disease. At the end, extensive numerical simulations are performed to demonstrate the effectiveness of our hypothetical outcomes. The numerical simulations reveal that the three species eco-epidemiological system induced chaos when disease spreads in low level. If we increase the force of infection, then the system shows stable focus through chaos to period-double, period-double to limit cycle. We conclude that chaotic dynamics can be controlled by the alternative food as well as the competition coefficients.