Volume - 13 | Issue-1
Volume - 13 | Issue-1
Volume - 13 | Issue-1
Volume - 13 | Issue-1
Volume - 13 | Issue-1
This article consists of a three-species food web model that has been constructed by considering the relationships between susceptible prey, infected prey and predator species. In the absence of predators, it predicted that susceptible prey species grow logistically. It is assumed that predators consume both susceptible , infected prey and infected prey consumes susceptible prey. We consider the effect of fear on susceptible prey due to predator species.. Also, the predator consumes its prey in the form of Holling-type relationship. The positive invariance, positivity, and boundedness of the system are discussed. The criteria of all biologically feasible point of equilibria have been examined. The local stability of the systems around these point of equilibrium is investigated and global stability is analysed by suitable Lyapunov functions around these point of equilibrium. Furthermore, the occurrence of Hopf-bifurcation concerning fear (f) of the system has been investigated. Finally, we demonstrate some numerical simulation results to illustrate our main analytical findings. Mathematics Subject Classification:92B05,92D25,34C60