SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

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A delay differential equation describing the evolution of a Herpes virus

E.K. Jaafar and K. Niri

Abstract
We study a model describing the evolution of a Herpes simplex virus type 2. A delay differential equation is used to model the disease spread. Sufficient conditions of Strong monotonicity and global stability are given. Theoretic results are illustrated by numerical simulations for realistic data.

Bibliography
[1] P. van den Driessche and Xingfu Zou, Modeling relapse in infectious diseases, Mathematical Biosciences 207 (2007) 89-103.
[2] H.L. Smith, Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems, Mathematical Surveys and Monographs, vol. 40, American Mathematical Society, Providence, RI, 1995.

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