A Mathematical Model of Bio-Economic Harvesting of a Nonlinear Prey-Predator System

Autor/in	Kar, Tapan Kumar
Titel	A Mathematical Model of Bio-Economic Harvesting of a Nonlinear Prey-Predator System
Quelle	In: International Journal of Mathematical Education in Science & Technology, 37 (2006) 3, S.309-319 (11 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Mathematical Models; Agricultural Production; Equations (Mathematics); Biology; Economics; Animal Husbandry; Calculus; Matrices + Suchen Sie Ihr Suchwort? Mathematical model; Mathematisches Modell; Agriculture; Production; Landwirtschaft; Produktion; Agrarproduktion; Landwirtschaftliche Produktion; Equations; Mathematics; Gleichungslehre; Biologie; Volkswirtschaftslehre; Tierhaltung; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Matrizenrechnung
Abstract	The paper reports on studies of the impact of harvesting on a prey-predator system with non-monotonic functional response and intra-specific competition in the predator growth dynamics. The existence of its steady states and their stability are studied using eigenvalue analysis. The possibility of the existence of bionomic equilibria has been considered. The problem of optimal harvest policy is then solved using Pontryagin's maximal principle. (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10