Ibrahim, Shamsuddeen and Opoku, Nicholas Kwasi-Do Ohene and Gervas, Hamenyimana Emanuel (2019) Transmission dynamics of two strain herpes simplex virus. Open Journal of Mathematical Sciences, 3 (1). pp. 198-209. ISSN 26164906
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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.
Item Type: | Article |
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Subjects: | Research Asian Plos > Mathematical Science |
Depositing User: | Unnamed user with email support@research.asianplos.com |
Date Deposited: | 07 Feb 2023 13:11 |
Last Modified: | 21 Oct 2024 04:22 |
URI: | http://abstract.stmdigitallibrary.com/id/eprint/102 |