Large advantage of herd behavior of prey in Prey−Predator dynamics with disease in predator

Research Article, M Biswas, Bachchu Sk, A Maiti, S Alam
2016 Journal homepage: www.ijaamm.com International Journal of Advances in Applied Mathematics and Mechanics   unpublished
In prey−predator system prey population take various mechanisms to save themselves from predators. In this work we consider a prey−predator model with a transmissible disease spreading in predator population and prey gathered in a group so it exhibits a herd behavior. We used Holling type−II response function for spreading of disease among predators and find the impact of herd behavior mechanism of prey population in the model system both analytically and numerically. Sufficient conditions are
more » ... ent conditions are derived for disease−free equilibrium and the interior equilibrium points of the model system. Numerical simulations are carried out to support our analytical findings. MSC: 92D25 Keywords: Prey−predator model • Transmissible diseases in predator • Herd behavior of prey and Holling type−II funcional response © 2016 The Author(s). This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/3.0/).
fatcat:qv4dacatyvdkhir5o5tcwiv7jy