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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.
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