title: Linear age-dependent population growth with seasonal harvesting.
abstract: A population growth is modelled by the Von Foerster PDE with accompanying Lotka-Volterra integral equation describing the birth rate; the age specific death and fertility rates are assumed to depend only on age and not time. A harvesting policy where a fraction of the population of age greater than a given age is harvested for a fraction of a given season. This introduces a time dependence, but this difficulty is circumvented by devising approximate time-independent models whose birthrates bracket the true birthrate--the standard renewal equation theory applies to the approximate models so quantitative results can be obtained.
mesh_terms: D000375:Aging; D000818:Animals; D001723:Birth Rate; D005298:Fertility; D006801:Humans; D008433:Mathematics; D009026:Mortality; D011158:Population Growth; D012621:Seasons