Optimal harvesting problem for an age-dependent n-dimensional competing system with diffusion

International Journal of Biomathematics

Volumn 1, Issue 2, 2008, Pages 133-145

  Luo, Zhixue ^a   He, Ze Rong ^b  

^a LANZHOU JIAOTONG UNIVERSITY   (China)

^b HANGZHOU DIANZI UNIVERSITY   (China)

Author keywords

age dependence; Diffusion; optimal control; the maximum principle

Indexed keywords

EID: 84857518864     PISSN: 17935245     EISSN: 17937159     Source Type: Journal    
DOI: 10.1142/S1793524508000114     Document Type: Article

References (10)

1. S. Anita, Analysis and Control of Age-Dependent Population Dynamics (Kluwer Academic Publishers, Dordrecht, 2000).
2. B. Ainseba, S. Anita and M. Langlais, On the optimal harvesting of a nonlinear age-structured population dynamics, Abstr. Appl. Anal. 6(6) (2001) 357-368.
3. M. Brokate, On a certain optimal harvesting problem with continuous age structure, in Optimal Control of Partial Differential Equations II (Birkhäuser, 1987), pp. 29-42.
4. M. E. Gurtin and L. F. Murphy, On the optimal harvesting of age structured populations: Some simple models, Math. Biosci. 55 (1981) 115-136.
5. M. E. Gurtin and L. F. Murphy, On the optimal harvesting of persistent agestructured populations, J. Math. Biol. 13 (1981) 131-148.
6. L. F. Murphy and S. J. Smith, Optimal harvesting of an age-structured population, J. Math. Biol. 29 (1990) 77-90.
7. S. Anita, Optimal impulse-control of population dynamics with diffusion, in Differential Equations and Control Theory, ed. V. Barbu, Pitman Research Notes in Mathematics Series, Vol. 250 (Longman Scientific and Technical, 1992), pp. 1-6.
8. S. Anita, Optimal control of parameter distributed systems with impulses, Appl. Math. Optim. 29 (1994) 93-107.
9. H. Wacker, Optimal harvesting of mutualistic ecological systems, Resour. Energy. Econ. 21 (1999) 89-102.
10. V. Barbu and T. Precupanu, Convexity and Optimization in Banach Spaces (D. Reidel Publishing Company, Dordrecht, Boston, 1986).