Spatial dynamics of a juvenile-adult model with impulsive harvesting and evolving domain.

An age-structured juvenile-adult model with impulsive harvesting is developed on a periodically evolving domain. The principal eigenvalue is firstly defined by Krein–Rutman theorem on a Banach space involving impulse and its properties are explicitly discussed. Moreover, sufficient conditions for the solution to persist or extinct are presented by comparison principle with impulse. The final numerical simulations are carried out to verify our analytical findings. Our results imply that harvesting pulse can make individuals from persistence to struggle to survive, or from extinction to rapidly extinction. Moreover, small rate of regional evolution are detrimental to species persistence, that is, small evolutional rate turns individuals from persistence to extinction. • The impulsive harvesting and evolving domain are firstly introduced in a juvenile-adult model. • The principal eigenvalue in a Banach space involving impulse is given. • The impacts of impulsive harvesting and evolving domain are presented. [ABSTRACT FROM AUTHOR]