Prey-Predator Model with Two-Stage Infection in Prey: Concerning Pest Control. (30th November 2015)

• Record Type: Journal Article
• Authors: Nandi, Swapan Kumar; Mondal, Prasanta Kumar; Jana, Soovoojeet; Haldar, Palash; Kar, T. K.
• Other Names: Petras Ivo Academic Editor.
• Is Part Of: Journal of nonlinear dynamics. Volume 2015(2015)
• Publication Date: 2015-11-30
• Subjects: Nonlinear theories -- Periodicals; Dynamics -- Periodicals; Dynamics; Nonlinear theories; Periodicals; 531.11
• DOI: 10.1155/2015/948728
• Languages: English
• ISSNs: 2356-7503

Abstract

Abstract : A prey-predator model system is developed; specifically the disease is considered into the prey population. Here the prey population is taken as pest and the predators consume the selected pest. Moreover, we assume that the prey species is infected with a viral disease forming into susceptible and two-stage infected classes, and the early stage of infected prey is more vulnerable to predation by the predator. Also, it is assumed that the later stage of infected pests is not eaten by the predator. Different equilibria of the system are investigated and their stability analysis and Hopf bifurcation of the system around the interior equilibriums are discussed. A modified model has been constructed by considering some alternative source of food for the predator population and the dynamical behavior of the modified model has been investigated. We have demonstrated the analytical results by numerical analysis by taking some simulated set of parameter values.