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A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities
Department of Mathematics and Computer Science, Ngaoundéré University, Ngaoundere, Cameroon
Department of Mathematics and Computer Science, Ngaoundéré University, Ngaoundere, Cameroon
Department of Mathematics and Computer Science, Ngaoundéré University, Ngaoundere, Cameroon
- 1 Department of Mathematics and Computer Science, Ngaoundéré University, Ngaoundere, Cameroon
- 2 Department of Mathematics and Computer Science, Ngaoundéré University, Ngaoundere, Cameroon
- 3 Department of Mathematics and Computer Science, Ngaoundéré University, Ngaoundere, Cameroon
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Abstract
A SEI model for hepatitis B is constructed where the susceptibility and other crucial transmission probabilities depend on the chronological age and the basic reproduction rate R 0 is derived. Under suitable (biological and mathematical) assumptions in a closed population, results of Houpa D. D. E. et al . [1] are extended from constant case of p and q to age-dependent case: the disease-free equilibrium is globally asymptotically stable (GAS) if R 0 < 1 . On the other hand, R 0 > 1 induces that endemic equilibrium is GAS and the system is uniformly persistent.
KeywordsA General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities
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