Populations with impulsive culling: control and identification

Abstract

This paper is a numerical study of populations with dispersion (Fickian diffusion) in one or two directions and with a finite number of impulsive culling sites. The intensities and locations of the culling sites are used for optimal control of the population density. The identifications of the model parameters and location of the culling sites are determined from the given population density data. The Levenberg–Marquardt, variation of the simulated-annealing and semilinear-SOR algorithms are used.

Keywords:

• impulsive culling
• semilinear-SOR
• Levenberg–Marquardt
• simulated-annealing

2000 AMS Subject Classification :

• 35K60
• 49M27
• 93B40