The Mathematical Biology Seminar series presents Dr. Kie Van Ivanky Saputra on “Dynamics of an HIV-1 infection model with Cytotoxic T-Lymphocytes (CTL) responses” on Thursday, Nov. 20, from 5 to 5:45 p.m. in Morton 219.
Dr. Kie Van Ivanky Saputra
The speaker is visiting Ohio University from Indonesia on a Fulbright scholarship this semester. Saputra is the Head of Dept. of Mathematics in University of Pelita Harapan. His research interest is particularly in the theory and applications of dynamical systems, specifically on singularly perturbed conservative system, dynamics and bifurcations of predator-prey type systems, and discrete dynamical systems.
Abstract: As an example of dynamical systems having a codimension one invariant manifold, this talk will discuss the dynamics of an HIV-1 infection model with CTL responses. Detailed analysis will show that the system has three equilibrium solutions, namely the disease-free equilibrium, an endemic equilibrium without CTL response, and an endemic equilibrium with CTL response. The model exhibits transcritical and Hopf bifurcations. The model also addresses how treatment is related to varying model parameters. The findings show how treatment would allow our immune system to control the virus in the long run.
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