The classification for dynamics of an STD model |
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Authors: | Zhipeng Qiu |
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Affiliation: | Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, PR China |
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Abstract: | In this paper, a 3(n+1) dimensional sexually transmitted disease model is studied. The model involves two competing strains 1 and 2, where females are divided into n different groups based on their susceptibility to two distinct pathogenic strains. The first and second reproduction numbers , which have their biological meaning, are defined for strain , respectively. With the non-degeneracy assumption (H), a complete classification for dynamics of this model in terms of is presented, which is based on the theory of type-K monotone dynamical systems. |
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Keywords: | Sexually transmitted disease Pathogen strains The reproduction number Competitive exclusion Coexistence |
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