We propose a model to describe the interaction between a diseased fish population and their predators. Analysis of the system is performed to determine the stability of equilibrium points for a large range of parameter values. The existence and uniqueness of solutions is established and solutions are shown to be uniformly bounded for all nonnegative initial conditions. The model predicts that a deadly disease and a predator population cannot co-exist. Numerical simulations illustrate a variety of dynamical behaviors that can be obtained by varying the problem data.
Glenn Ledder - Department of Mathematics and Statistics, University of Nebraska-Lincoln firstname.lastname@example.org
Flake, Chris; Hoang, Tram; and Perrigo, Elizabeth
"A Predator Prey Model with Disease Dynamics,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 4
, Article 1.
Available at: http://scholar.rose-hulman.edu/rhumj/vol4/iss1/1