Optimal harvesting policy for general stochastic Logistic population model

Journal of Mathematical Analysis and Applications

Volumn 368, Issue 2, 2010, Pages 420-428

  Li, Wenxue ^a   Wang, Ke ^a,b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b NORTHEAST NORMAL UNIVERSITY   (China)

Author keywords

Fokker Planck equation; Optimal harvesting policies; Stochastic Logistic equation

Indexed keywords

EID: 77952884012     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2010.04.002     Document Type: Article

References (16)

1. Clark C.W. Mathematical Bioeconomics: The Optimal Management of Renewal Resources 1976, Wiley, New York.
2. Clark C.W. Mathematical Bioeconomics: The Optimal Management of Renewal Resources 1990, Wiley, New York. 2nd ed.
3. Fan M., Wang K. Optimal harvesting policy for single population with periodic coefficients. Math. Biosci. 1998, 152:165-177.
4. Zhang X., Shuai Z., Wang K. Optimal impulsive harvesting policy for single population. Nonlinear Anal. Real World Appl. 2003, 4:639-651.
5. Kar T.K. Modelling and analysis of a harvested prey-predator system incorporating a prey refuge. J. Comput. Appl. Math. 2006, 185:19-33.
6. Dong L., Chen L., Sun L. Optimal harvesting policies for periodic Gompertz systems. Nonlinear Anal. Real World Appl. 2007, 8:572-578.
7. Wang J., Wang K. Optimal control of harvesting for single population. Appl. Math. Comput. 2004, 156:235-247.
8. Gao S., Chen L., Sun L. Optimal pulse fishing policy in stage-structured models with birth pulses. Chaos Solitons Fractals 2005, 25:1209-1219.
9. Beddington J.R., May R.M. Harvesting natural populations in a randomly fluctuating environment. Science 1977, 197:463-465.
10. Lande R., Engen S., Sæther B.E. Optimal harvesting of fluctuating populations with a risk of extinction. Am. Nat. 1995, 145:728-745.
11. Alvarez L.H.R., Shepp L.A. Optimal harvesting of stochastically fluctuating populations. Math. Biosci. 1998, 37:155-177.
12. Alvarez L.H.R. Optimal harvesting under stochastic fluctuations and critical depensation. Math. Biosci. 1998, 152:63-85.
13. Shah M.A., Sharma U. Optimal harvesting policies for a generalized Gordon-Schaefer model in randomly varying environment. Appl. Stoch. Models Bus. Ind. 2003, 19:43-49.
14. Lu H., Wang K. Autonomous single-species models and their optimal harvesting policies. J. Systems Sci. Math. Sci. 2004, 24(2):200-205.
15. Gardiner C.W. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences 1985, Springer-Verlag, New York.
16. Gard T.C. Introduction to Stochastic Differential Equations 1988, Marcel Dekker, New York.