论文信息 - A model of HIV/AIDS with staged progression and amelioration.

A model of HIV/AIDS with staged progression and amelioration.

An epidemic model with multiple stages of infection is studied. The model allows for infected individuals to move from advanced stages of infection back to less advanced stages of infection. A threshold parameter which determines the local stability of the disease free equilibrium is found and interpreted. Under conditions on the parameters, global stability is demonstrated using techniques involving compound matrices.

C. McCluskey | C Connell McCluskey

[1] Jia Li,et al. The Diierential Infectivity and Staged Progression Models for the Transmission of Hiv , 1998 .

[2] P van den Driessche,et al. An epidemiological model for HIV/AIDS with proportional recruitment. , 1993, Mathematical biosciences.

[3] Josef Hofbauer,et al. Evolutionary Games and Population Dynamics , 1998 .

[4] James S. Muldowney,et al. Dynamics of Differential Equations on Invariant Manifolds , 2000 .

[5] O. Diekmann,et al. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations , 1990, Journal of mathematical biology.

[6] M. Li,et al. Global dynamics of a SEIR model with varying total population size. , 1999, Mathematical Biosciences.

[7] John A. Jacquez,et al. Reproduction numbers and the stability of equilibria of SI models for heterogeneous populations , 1992 .

[8] J. Hale,et al. Ordinary Differential Equations , 2019, Fundamentals of Numerical Mathematics for Physicists and Engineers.

[9] James S. Muldowney,et al. Compound matrices and ordinary differential equations , 1990 .

[10] Robert H. Martin. Logarithmic norms and projections applied to linear differential systems , 1974 .

[11] Michael Y. Li. Dulac criteria for autonomous systems having an invariant affine manifold , 1996 .