A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission ProbabilitiesReport as inadecuate




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A SEI model for hepatitis B is constructedwhere the susceptibility and other crucial transmission probabilities depend onthe chronological age and the basic reproduction rate R0 is derived. Under suitablebiological and mathematical assumptions in a closed population, results of HoupaD. D. E. et al. 1 are extended from constant case of p and q to age-dependent case: the disease-free equilibrium is globally asymptoticallystable GAS if R0 < 1. On the other hand, R0 > 1 induces that endemic equilibriumis GAS and the system is uniformly persistent.

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A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities

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Houpa, D. , Miamdjo, T. and Kouakep, T. 2014 A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities. Applied Mathematics, 5, 707-722. doi: 10.4236-am.2014.54068.





Author: Danga Duplex Elvis Houpa, Tagne Eric Miamdjo, Tchaptchie Yannick Kouakep

Source: http://www.scirp.org/



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