Optimization of harvesting age in an integral age-dependent model of population dynamics |
| |
Authors: | Hritonenko Natali Yatsenko Yuri |
| |
Institution: | Prairie View A&M University, Box 4189, Prairie View, TX 77446, USA. natalia_hritonenko@pvamu.edu |
| |
Abstract: | The paper deals with optimal control in a linear integral age-dependent model of population dynamics. A problem for maximizing the harvesting return on a finite time horizon is formulated and analyzed. The optimal controls are the harvesting age and the rate of population removal by harvesting. The gradient and necessary condition for an extremum are derived. A qualitative analysis of the problem is provided. The model shows the presence of a zero-investment period. A preliminary asymptotic analysis indicates possible turnpike properties of the optimal harvesting age. Biological interpretation of all results is provided. |
| |
Keywords: | Volterra integral equations Biological populations Age structure Harvesting Optimal control |
本文献已被 ScienceDirect PubMed 等数据库收录! |