A Uniqueness Theorem in an Age-Physiology Dependent Population Dynamics

Jean M. Tchuenche

A Uniqueness Theorem in an Age-Physiology Dependent Population Dynamics

Authors

Jean M. Tchuenche Department of Mathematical Sciences, University of Agriculture PMB 2240, Abeokuta, Nigeria.

Keywords:

Age, genotype, population dynamics, interaction function, estimates, renewal equation

Abstract

A mathematical model describing the evolution of a population dynamics problem in which, a genetically transmitted disease, Sickle-cell Anaemia, is prevalent is considered. The genotype or physiological structure of individuals divides such a population naturally into three genotypic groups, namely; normal (AA), carriers (AS) and sickle-cell suffers (SS). An a priori estimates of the solution is obtained as well as conditions under which such a solution is unique.