Non-negative matrices, dynamic programming and a harvesting problem

1984 ◽  
Vol 21 (4) ◽  
pp. 685-694 ◽  
Author(s):  
D. R. Grey
Keyword(s):  
Dynamic Programming ◽  
Asymptotic Behaviour ◽  
Small Population ◽  
Asymptotic Behaviour Of Solutions ◽  
Survival Potential ◽  
Dynamic Programming Equations

Existing results on the asymptotic behaviour of solutions to two dynamic programming equations involving non-negative matrices are reviewed and strengthened in certain directions. The results are then applied to strategies for harvesting of a small population so as to optimise its survival potential in a limited environment.

Non-negative matrices, dynamic programming and a harvesting problem

1984 ◽  
Vol 21 (04) ◽  
pp. 685-694 ◽  
Author(s):  
D. R. Grey
Keyword(s):  
Dynamic Programming ◽  
Asymptotic Behaviour ◽  
Small Population ◽  
Asymptotic Behaviour Of Solutions ◽  
Survival Potential ◽  
Dynamic Programming Equations

Existing results on the asymptotic behaviour of solutions to two dynamic programming equations involving non-negative matrices are reviewed and strengthened in certain directions. The results are then applied to strategies for harvesting of a small population so as to optimise its survival potential in a limited environment.

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