On a Lotka-Volterra system of sexually transmitted
碩士 === 東吳大學 === 數學系 === 89 === We consider the dynamics of an epidemiological model of infection by two competing strains of virus which can be transformed into the Lotka-Volterra system. We prove that equilibrium of coexistence is globally asymptotically stable when...
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| Format: | Others |
| Language: | en_US |
| Published: |
2001
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| Online Access: | http://ndltd.ncl.edu.tw/handle/88408710724050585432 |
| Summary: | 碩士 === 東吳大學 === 數學系 === 89 === We consider the dynamics of an epidemiological model of infection by two competing strains of virus which can be
transformed into the Lotka-Volterra system. We prove that equilibrium of coexistence is globally asymptotically stable
whenever it exists. If there is no interior equilibrium,
there exists a unique locally asymptotically stable equilrbrium corresponding to the strain with greater basic reprodctive number Ro which is called the winning strain.
The global stability of winning strain is also obtained in each combination of parameters.
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