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Mathematical Sciences Colloquium by Yuan Yuan
Friday, Dec 2, 2016
3 p.m. - 4 p.m. Location: JO 3.516

Yuan Yuan

Department of Mathematics and Statistics

Memorial University of Newfoundland, St. John’s, CANADA

Effect of Time Delays in an HIV Virotherapy Model with Nonlinear Incidence

In this talk, we propose a mathematical model for HIV infection with delays in cell infection and virus production. The model examines a viral-therapy for controlling infections through recombining HIV virus with a genetically modified virus. For this model, we derive two biologically insightful quantities (reproduction numbers) $\mathcal{R}_0$ and $\mathcal{R}_z$, and their threshold properties are discussed. When $\mathcal{R}_0 < 1$, the infection-free equilibrium $E_0$ is globally asymptotically stable. If $\mathcal{R}_0 > 1$ and $\mathcal{R}_z<1$, the single-infection equilibrium $E_s$ is globally asymptotically stable. When $\mathcal{R}_z>1$, there occurs the double-infection equilibrium $E_d$, and there exists a constant $R_b$ such that $E_d$ is asymptotically stable if $1<\mathcal R_z < R_b$. Some simulations are performed to support and complement the theoretical results.

 

Sponsored by the Department of Mathematical Sciences

Contact Info:
Viswanath Ramakrishna, 972-883-6873
Questions? Email me.

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