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Zbl 1071.92041
Kar, Tapan Kumar
Modelling and analysis of a harvested prey--predator system incorporating a prey refuge. (English)
[J] J. Comput. Appl. Math. 185, No. 1, 19-33 (2006). ISSN 0377-0427

Summary: The present paper deals with a prey-predator model incorporating a prey-refuge and independent harvesting in either species. Our study shows that, using the harvesting efforts as controls, it is possible to break the cyclic behaviour of the system and drive it to a required state. The possibility of existence of bionomic equilibria has been considered. The problem of optimal harvest policies is then solved by using Pontryagin's maximal principle.

MSC 2000:: *92D40 Ecology
49N90 Applications of optimal control and differential games
34C60 Applications of qualitative theory of ODE
34C05 Qualitative theory of some special solutions of ODE

Keywords: Prey-refuge; Limit cycles; Bionomic equilibrium; Optimal harvesting

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Zentralblatt MATH Berlin [Germany]