Abstract
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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Kar, T.K., Misra, S. & Mukhopadhyay, B. A bioeconomic model of a ratio-dependent predator-prey system and optimal harvesting. J. Appl. Math. Comput. 22, 387–401 (2006). https://doi.org/10.1007/BF02896487
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DOI: https://doi.org/10.1007/BF02896487