Some Propositions on Mathematical Models of Population Growth
Jamal Salah
Abstract
In this study, we evoke the limitations of some well-known Ordinary Differential Equation models that apply on the growth/ decay rates of microbial populations. Hence, we propose an alternative perspective by implementing the Caputo's derivative of a function with respect to another function. Furthermore, new concepts: the growth of a population with respect to another population, and the infinite product of the rates of change of a pure culture population or mixed culture population are discussed
Topics & Concepts
Perspective (graphical)PopulationFunction (biology)Population growthPopulation modelProduct (mathematics)Ordinary differential equationDerivative (finance)MathematicsEconometricsMathematical economicsDifferential equationDemographyMathematical analysisEconomicsBiologySociologyEvolutionary biologyGeometryFinancial economicsMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsCOVID-19 epidemiological studies