Persistence of a Generalized Prey-Predator Model with Prey Reserved and Herd Behavior of Prey in Unreserved Zone, Where Both Side Prey Migration Rate Is Predator's Density Dependent Function
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 3
Abstract
In this article we analyze a generalized prey-predator system with a reserved zone and herd behaviour of prey species in the unreserved zone. Here we assume that the habitat is divided into two zones, namely free zone and reserved zone where predation is prohibited. The migration rate of the prey species from reserved zone to unreserved zone and vice-versa are predator's density dependent function. The local and global stability analysis of the model system have been carried out. We obtain persistent criteria for both the species. Finally, a particular model has been introduced and numerical simulation has been performed to support the analytical findings.
Authors and Affiliations
Sachindra Nath Matia, Animesh Mahata, Shariful Alam, Banamali Roy
Keywords
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