Dynamics of alternative food and allee effect in an eco-epidemiological system with disease in predator

Krishna Pada Das; Shubhadeep Ghosh; Chandrani Mukherje; Goutam Panigrahi; Swagata Biswas

Krishna Pada Das Mahadevananda Mahavidyalaya Department Of Mathematics Monirampore P.O.-Barrackpore Kol-120
Shubhadeep Ghosh
Chandrani Mukherje Seacom Engineering College, Howrah-711302, India
Goutam Panigrahi National Institute of Technology Durgapur, Durgapur, India
Swagata Biswas Mahadebananda Mahavidyalaya, Barrackpore, Kol-120, India

Abstract

Here we investigate an effect of alternative food on an eco- epidemiological predator- prey model with disease in predator and allee effect in prey species. We consider type-II functional response between the spices of this model. Here we have discussed local stability of the boundary equilibrium point and the interior equilibrium point. The Hopf Bifurcation analysis around the interior equilibrium point are analyzed. We notice that the system indicate chaotic behaviour at high level infection rate. Again it is observed from the numerical experiments that being present of alternative food and Allee effect, the system reveal a stable characteristics therefore Allee effect and alternative food source significantly play an important role to the control of chaotic dynamics of prey-predator system.