The Beverton-Holt equation from a control theory point of view

2008 2nd IEEE International Conference on Digital Ecosystems and Technologies, IEEE-DEST 2008

Volumn , Issue , 2008, Pages 204-211

  De La Sen, M ^a   Alonso Quesada, S ^a   Bilbao Guillerna, A ^a  

^a Faculty of Science and Technology   (Spain)

Author keywords

Beverton Holt equation; Control theory; Ecology

Indexed keywords

CONTROL THEORY; DIGITAL ARITHMETIC; DYNAMIC PROGRAMMING; DYNAMICS; ECOLOGY; LINEAR CONTROL SYSTEMS; SET THEORY; STABILITY; SYSTEM STABILITY; SYSTEM THEORY;

BEVERTON-HOLT EQUATION; CARRYING CAPACITIES; CONTROL PURPOSES; DYNAMIC SYSTEMS; FINITE SETS; INPUT SEQUENCES; LINEAR DYNAMIC SYSTEMS; STABILITY PROPERTIES;

LINEAR EQUATIONS;

EID: 56749161120     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/DEST.2008.4635192     Document Type: Conference Paper

References (15)

1. R. J. H. Beverton and S. J. Holt, "On the dynamics of exploited fish populations", Fish. Invest., Vol. 19, p. 1, 1957.
2. N. J. Barrowman, R. A. Myers, R. Hilborn, D. G. Kehler and C. A. Field, "The variability among populations of coho salmon in the maximum productive rate and depensation", Ecological Applications, Vol. 13, No. 3, pp. 784-793, 2003.
3. A. L. Jensen, "Harvest reference points for the Beverton and Holt dynamic pool model", Fisheries Research, Vol. 47, pp. 93-96, 2000.
4. G. Stefansson, Fish 480 (stockrec) Spawning stock, Recruitment and Production, Course at the Department of Biology of the University of Iceland using data of the Marine Research Institute of Reykjavik, Iceland, November 2005.
5. S. Stevic, "Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures", Discrete Dynamics in Nature and Society (in press).
6. V. L. Kocic, "A note on the nonautonomous Beverton-Holt model", Journal of Difference Equations and Applications, Vol. 11, Nos. 4-5, pp. 415-422, Apr. 2005.
7. J. M. Cushing and S. M. Henson, "A periodically forced Beverton-Holt equation", Journal of Difference Equations and Applications, Vol. 8, No. 12, pp. 1119-1120, 2002.
8. S. Elaydi and R. J. Sacker, "Periodic difference equations, population biology and the Cushing-Henson conjectures", Mathematical Biosciences, Vol. 201, Issues 1-2, pp. 195-207, May 2006.
9. S. Stevic, "A short proof of the Cushing-Henson conjecture", Discrete Dynamics in Nature and Society, Vol. 2006 (2006), Article ID 37264, 5 pages, doi: 10.1155/DDNS/2006/37264.
10. L. Berezansky, "On impulsive Beverton-Holt difference equations and their applications", Journal of Difference equations and Applications, Vol. 10, No. 9, pp. 851-868, Aug. 2004.
11. M. De la Sen, "The environment carrying capacity is not independent of the intrinsic growth rate for subcritical spawning stock biomass in the Beverton-Holt equation", Ecological Modelling, Vol. 204, Nos.1-2,pp.271-273, 2007.
12. M.A. McCarthy, "The Allee effect, finding mates and theoretical models", Ecological Modelling, Vol. 103, pp. 99-102, 1997.
13. Cang Hui, "Carrying capacity, population equilibrium, and environment's maximal load ", Ecological Modelling, Vol. 192, pp. 317-320, 2006.
14. M. De la Sen and S. Alonso-Quesada, "Model matching via multirate sampling with fast sampled input guaranteeing the stability of the plant zeros", IET Control Theory Appl., Vol. 1, No. 1, 2007.
15. C. F. Purchase, S. V. Goddard and J. A. Brown, "Production of anti freeze glycoproteins in cultured and wild juvenile Atlantic cod (Gadus morhua L.) in a common laboratory environment", Can. J. Zool., Vol. 79, pp. 610-615, 2001.