A Uniqueness Theorem in an Age-Physiology Dependent Population Dynamics
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Jean M. Tchuenche
jmtchuenche@yahoo.com
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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.
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