Cynthia Tochukwu Nnolum (Mathematical Sciences) presented some of her recent results on “Dynamics of solutions to a multiple-patch epidemic model with a saturation incidence mechanism” at the American Mathematical Society (AMS) Sectional Meeting at the University of Texas, San Antonio, in the special session on Recent trends in differential equations applied to biological processes. This is a joint work with Rachidi B. Salako as well as Shuwen Xue and Yawo Ezunkpe.
The conference was sponsored by the Department of Mathematical Sciences, College of Sciences, UNLV.
In their work, they identified explicit conditions on the model’s parameters under which solutions of the initial value problem eventually stabilize. They also examined the asymptotic profiles of the endemic equilibrium solutions with respect to population dispersal rates. Numerical simulations illustrating their theoretical results were also presented.