Mathematical models here serve as tools for understanding the epidemiology of Human Immunodeficiency
Virus (HIV) and Acquired Immunodeficiency Syndrome (AIDS) if they are carefully constructed. The research
emphasis is on the epidemiological impacts of AIDS and the rate of spread of HIV/AIDS in any given
population through the numericalization of the Basic reproductive rate of infection (R0). Applicable
Deterministic models, Classic Endemic Model (SIR), Commercial Sex Workers (CSW) model,...
The analysis of the dynamic buckling of a clamped finite imperfect viscously damped column lying on a
quadratic-cubic elastic foundation using the methods of asymptotic and perturbation technique is
presented. The proposed governing equation contains two small independent parameters (δ and ϵ) which
are used in asymptotic expansions of the relevant variables. The results of the analysis show that the
dynamic buckling load of column decreases with its imperfections as well as with the inc...