The Dynamical Behavior of HIV Models Based on Age Structure
A class of HIV infection model based on random age structure is studied.The continuous age structure is discretized by Euler method,and the model is transformed into a linear partial differential equation.The maximum eigenvalue of the next generation matrix of the transformed equation is obtained by spectral approximation theory,and the basic regeneration number of the model is estimated accurately.The numerical simulation is carried out with Matlab software to study the transmission of HIV under different parameters,and the feasibility and reliability of the simulation method are verified by comparing with the actual situation.
random age structureHIV Infection modelEuler methodspectral approximation theorybasic regeneration number
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