MATHEMATICAL STUDY OF IN-HOST DYNAMICS OF HERPES SIMPLEX VIRUS TYPE 2 TO ASSESS THE IMPACT OF IMMUNE RESPONSE
A new deterministic model for Herpes Simplex Virus-2 (HSV-2) in vivo, which incorporates the cell-mediated and humoral immune responses, is designed and analyzed. The analyses of the model reveal that it has a globally-asymptotically stable (GAS) virus-free equilibrium (VFE) whenever the associated reproduction threshold is less than unity. Also, it has at least one virus-present equilibrium (VPE) when the reproduction threshold exceeds unity (and virus will persist in vivo under this condition). Furthermore, it is shown that a Herpes Simplex Virus-2 (HSV-2) vaccine will be effective in reducing HSV-2 burden in vivo if it reduces the ability of the virus without glycoprotein C (gC) to bind to the host cell or if it reduces the re-activation rate of latent HSV-2. Additionally, the vaccine will also be very effective if it results in an increase in the fraction of the re-activated latent viruses without gC. Numerical simulations of the model show that cell-mediated immune response is more effective (in controlling HSV-2 burden in vivo) than humoral immune response (the latter only offers marginal impact in reducing HSV-2 burden in vivo, except if its effectiveness level is very high). Thus, a future HSV-2 vaccine that boosts cell-mediated immune response is expected to be quite effective in controlling HSV-2 in vivo.