Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

A BIOECONOMIC MODEL OF A RATIO-DEPENDENT PREDATOR-PREY SYSTEM AND OPTIMAL HARVESTING

  • Kar T.K. (Department of Mathematics, Bengal Engineering and Science University) ;
  • Misra Swarnakamal (Department of Mathematics, Dhakuria Ram Chandra High School) ;
  • Mukhopadhyay B. (Department of Mathematics, Bengal Engineering and Science University)
  • 발행 : 2006.09.01

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초록

This paper deals with the problem of a ratio-dependent prey- predator model with combined harvesting. The existence of steady states and their stability are studied using eigenvalue analysis. Boundedness of the exploited system is examined. We derive conditions for persistence and global stability of the system. The possibility of existence of bionomic equilibria has been considered. The problem of optimal harvest policy is then solved by using Pontryagin's maximal principle.

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