Discrete-Time Model of an Exploited Population with Age and Sex Structures: Instability and the Hydra Effect
Oksana Revutskaya,
Galina Neverova,
Efim Frisman
Abstract:This study proposes a discrete-time mathematical model to investigate the impact of selective harvesting on the dynamics of a population with age and sex structures. The model assumes that the birth rate depends on the sex ratio of the population and the number of breeding pairs. The growth rate is regulated by limiting juvenile survival, where an increase in population size decreases the survival of immature individuals. We consider the following selective proportional exploitation: harvesting of juveniles an… Show more
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