Differential movement and movement bias models for marine protected areas
In connection with marine protected areas for overfished stocks, the authors consider mathematical models constructed by means of boundary value problems for partial (and for describing the steady state -- ordinary) differential equations. In the first of the considered models, the parameters are piecewise constant with the diffusion coefficient and mortality rate different inside and outside the protected area. Next, a movement bias model is studied. It is supposed here that at the boundary, the probability of moving to the protected area is higher than of moving outside. Finally, a model with constant diffusion coefficient and smooth in the space variable mortality rate is considered. Different models are analyzed and compared with empirical evidence.
scientific article; zbMATH DE number 6097158