Mathematical Study of the Verhulst and Gompertz Growth Functions and Their Contemporary Applications

This study examines the mathematical characteristics of logistic, generalized logistic and Gompertz growth function used in human population analysis. When a is mathematically modeled, it starts with differential equations considered as preliminary study. Then, general solution equation derived. method followed by mathematicians who developed these models. To prepare for study, I framework objectives adhered to resources approaches outlined function. In addition, wanted evaluate methodologies that remain valid contemporary applications using current perspectives. Mathematician actuary Benjamin first survivors’ 1825 which was later while systematizing life tables. his three published articles, mathematician Pierre-François Verhulst based on economic he searched test opportunities limited statistics France, Belgium, England, USA, Russia. Contemporary authors Richards and, ‘Ricketts Head’ made very invaluable contributions