2016/07/04 by Min Gao, Gao, Min
Mathematics · Medicine · Social Sciences · #Analysis of PDEs (math.AP) #COVID-19 epidemiological studies #FOS: Mathematics #Insurance, Mortality, Demography, Risk Management #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.48550/arxiv.1607.01070
openalex publication_date 2016/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A general model of age-structured population dynamics is developed and the fundamental properties of its solutions are analyzed. The model is a semilinear partial differential equation with a nonlinear nonlocal boundary condition. Existence, uniqueness and regularity of solutions to the model equations are proved. An intrinsic growth constant is obtained and linked to the existence and the stability of the trivial and/or the positive equilibrium. Lyapunov function is constructed to show the global stability of the trivial and/or the positive equilibrium. Key words: Lyapunov function, Partial Differential Equation, Stability, Mathematical Model, Uniform Persistence, Reproductive Number (or Reproduction Number)