On impulsive beverton-holt difference equations and their applications

Journal of Difference Equations and Applications

Volumn 10, Issue 9, 2004, Pages 851-868

  Berezansky, Leonid ^a   Braverman, Elena ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Asymptotic behavior; Beverton Holt difference equation; Impulsive harvesting; Logistic equations

Indexed keywords

EID: 3142726130     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190410001726421     Document Type: Article

References (15)

1. R. J. Beverton and S. J. Holt, The theory of fishing, In: M. Graham, ed., Sea Fisheries; Their Investigation in the United Kingdom, Edward Arnold, London, 1956, pp. 372-441.
2. F. Brauer and C. Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Springer-Verlag, New York, 2001.
3. A. Hasting, Population Biology, Springer-Verlag, New York, 1997.
4. M. Kot, Elements of Mathematical Ecology, Cambridge University Press, 2001.
5. Y. Kuang, Delay differential equations with applications in population dynamics, Mathematics in Science and Engineering, 191, Academic Press, Boston, MA, 1993.
6. X. Zhang, Z. Shuai and K. Wang, Optimal impulsive harvesting policy for single population, Nonlinear Anal. Real World Appl. 4 (2003), 639-651.
7. I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991.
8. F. Brauer, Continuous and discrete population models with age-dependent mortality, Dynam. Contin. Discrete Impuls. Systems 5 (1999), 107-113.
9. E. A. Grove, G. Ladas, L. C. McGrath and C. T. Teixeira, Existence and behavior of solutions of a rational system, Comm. Appl. Nonlinear Anal. 8 (2001), 1-25.
10. M. R. S. Kulenović and G. Ladas, Dynamics of Second Order Rational Difference Equations: with Open Problems and Conjectures, Chapman & Hall/CRC, 2001.
11. L. Berezansky, E. Braverman and L. Idels, Delay differential logistic equations with harvesting, Math. Comput. Model., to appear.
12. L. Berezansky and E. Braverman, Linearized oscillation theory for a nonlinear delay impulsive equation, J. Comput. Appl. Math. 161 (2003), 477-495.
13. Y. Duan, W. Feng and J. Yan, Linearized oscillation of nonlinear impulsive delay differential equations, Comput. Math. Appl. 44 (2002), 1267-1274.
14. P. F. Verhulst, Notice sur la loi que la population suit dans son accroissement, Corr. Math. Phys. 10 (1838), 113-121.
15. P. F. Verhulst, Recheres mathématiques sur la loi d'accroissement de la population, Mém. Acad. Roy., Brussels 18 (1845), 1-38.