Modelling and analysis of a harvested prey–predator system incorporating a prey refuge

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...

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Veröffentlicht in:	Journal of computational and applied mathematics 2006, Vol.185 (1), p.19-33
1. Verfasser:	Kumar Kar, Tapan
Format:	Artikel
Sprache:	eng
Schlagworte:	Biological and medical sciences Bionomic equilibrium Exact sciences and technology Fundamental and applied biological sciences. Psychology General aspects Limit cycles Mathematical analysis Mathematics Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects) Optimal harvesting Ordinary differential equations Prey-refuge Prey–predator Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	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 policy is then solved by using Pontryagin's maximal principle.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2005.01.035