Sex-Structured Dynamic of Multi-Group Herpes Simplex Virus 2 |
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| Authors: | Zi Sang Zhipeng Qiu Yun Zou |
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| Institution: | 1. Department of Applied Mathematics, Nanjing University of Science and Technology, China;2. Department of Mathematics, Purdue University, West Lafayette, Indiana, USA |
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| Abstract: | A 3(n + l)-dimensional ordinary differential equation for HSV-2 includes l groups of men and n groups of women with different risks of infection. Global Lyapunov functions based on graph theory and on LaSalle invariance principle show that the model dynamics are completely determined by the basic reproduction number ?0. The disease-free equilibrium is globally asymptotically stable when ?0 ≤ 1; a unique endemic equilibrium is globally asymptotically stable in the interior of the feasible region when ?0 > 1. |
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| Keywords: | global stability graph-theory HSV-2 epidemic model Lyapunov functions |
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