Transmission dynamics of two strain herpes simplex virus

Abstract

A deterministic model for the transmission dynamics of two-strains Herpes Simplex Virus (HSV) is developed and analyzed. Following the qualitative analysis of the model, reveals a globally asymptotically stable disease free equilibrium whenever a certain epidemiological threshold known as the reproduction number (R 0 ), is less than unity and the disease persist in the population whenever this threshold exceed unity. However, it was shown that the endemic equilibrium is globally asymptotically stable for a special case. Numerical simulation of the model reveals that whenever R 1 < 1 < R 2 , strain 2 drives strain 1 to extinction (competitive exclusion) but when R 2 < 1 < R 1 , strain 1 does not drive strain 2 to extinction. Finally, it was shown numerically that super-infection increases the spread of HSV-2 in the model.

Effect of Alpha-Type External Input on Annihilation of Self-Sustained Activity in a Two Population Neural Field Model

“…In the applied mathematics and inparticular mathematical neuroscience, the study of uniqueness, existence and stability of localized persistent activity are important, the generation of coherent structures for different modeling approaches is investigated in many studies [3], [6], [7], [9]- [14]. They further studied the existence, stability, different shapes and mechanisms that form these bumps in one population neuronal model without recurrent excitations as discussed in Jonathan and William [15].…”