AN ECO-EPIDEMIOLOGICAL STUDY WITH PARASITE ATTACK AND ALTERNATIVE PREY

Abstract

The present paper deals with the problem of a predator-prey system with disease in the prey population. We observe the dynamics of such a system under the influence of severe as well as unnoticeable parasite attack and also alternative food sources for predator population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Local and global stability of the system around the biological feasible equilibria are studied. The conditions for which all three species will persist are worked out. Our results indicate that in the case of severe parasite attack, the predator population will prefer the alternative food source and not the infected one. But the strategy is reversed in the case of unnoticeable parasite attack.