DMCA
A Prey Predator Model with Vulnerable Infected Prey Consisting of Non-Linear Feedback (2015)
BibTeX
@MISC{Lakshmi15aprey,
author = {Vijaya Lakshmi and Gandhavadi Mohan Rao and Suresh Rasappan and Regan Murugesan and Vijaya Srinivasan},
title = {A Prey Predator Model with Vulnerable Infected Prey Consisting of Non-Linear Feedback},
year = {2015}
}
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Abstract
Abstract This paper investigates the dynamical complexities of a prey predator model with susceptible and infected (SI) prey with nonlinear feedback. A nonlinear feedback mathematical model is proposed and analyzed to study the predator interaction with infected prey. It has been assumed that the susceptible and infected prey populations are predated by predator species in the presence of non linear feedback controls. By constructing a suitable Lyapunov function, global asymptotic stability is established. Finally, a numerical example is given and diagrams are presented which supports our results.
