Discrete or distributed delay? Effects on stability of population growth

• Published in: Mathematical biosciences and engineering : MBE Vol. 13; no. 1; pp. 19 - 41
• Main Authors: Beretta, Edoardo, Breda, Dimitri
• Format: Journal Article
• Language: English
• Published: United States AIMS Press 01.02.2016
• Subjects: Animals; Birth Rate; Computer Simulation; delta$-dirac distribution; gamma distribution; Humans; local asymptotic stability analysis; maturation delay; Models, Statistical; Mortality; Population Growth; stability switches; Survival Rate; Time Factors

The growth of a population subject to maturation delay is modeled by using either a discrete delay or a delay continuously distributed over the population. The occurrence of stability switches (stable-unstable-stable) of the positive equilibrium as the delay increases is investigated in both cases....