About the properties of a modified generalized beverton-holt equation in ecology models

Discrete Dynamics in Nature and Society

Volumn 2008, Issue , 2008, Pages

  De La Sen, Manuel ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APHIDIDAE;

EID: 50849124426     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2008/592950     Document Type: Article

References (28)

1. S. Elaydi and R. J. Sacker, "Global stability of periodic orbits of non-autonomous difference equations and population biology," Journal of Differential Equations, vol. 208, no. 1, pp. 258-273, 2005.
2. V. L. Kocic, "A note on the nonautonomous Beverton-Holt model," Journal of Difference Equations and Applications, vol. 11, no. 4-5, pp. 415-422, 2005.
3. 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.
4. J. M. Cushing and S. M. Henson, "Global dynamics of some periodically forced, monotone di.erence equations," Journal of Difference Equations and Applications, vol. 7, no. 6, pp. 859-872, 2001.
5. S. Elaydi and R. J. Sacker, "Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures," Journal of Difference Equations and Applications, vol. 11, no. 4-5, pp. 337-346, 2005.
6. S. Elaydi and R. J. Sacker, "Periodic difference equations, population biology and the Cushing-Henson conjectures," Mathematical Biosciences, vol. 201, no. 1-2, pp. 195-207, 2006.
7. F. Chen and C. Shi, "Global attractivity in an almost periodic multi-species nonlinear ecological model," Applied Mathematics and Computation, vol. 180, no. 1, pp. 376-392, 2006.
8. X. Meng, W. Xu, and L. Chen, "Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion," Applied Mathematics and Computation, vol. 188, no. 1, pp. 365-378, 2007.
9. L. White, F. White, Y. Luo, and T. Xu, "Estimation of parameters in carbon sequestration models from net ecosystem exchange data," Applied Mathematics and Computation, vol. 181, no. 2, pp. 864-879, 2006.
10. R. R. Sarkar, B.Mukhopadhyay, R. Bhattacharyya, and S. Banerjee, "Time lags can control algal bloom in two harmful phytoplankton-zooplankton system," Applied Mathematics and Computation, vol. 186, no. 1, pp. 445-459, 2007.
11. S. Stević, "A short proof of the Cushing-Henson conjecture," Discrete Dynamics in Nature and Society, Article ID 37264, 5 pages, 2006.
12. L. Berezansky and E. Braverman, "On impulsive Beverton-Holt di.erence equations and their applications," Journal of Difference Equations and Applications, vol. 10, no. 9, pp. 851-868, 2004.
13. L. Edelstein-Keshet, Mathematical Models in Biology, vol. 46 of Classics in Applied Mathematics, SIAM, Philadelphia, Pa, USA, 2005.
14. S. Shigenobu, H. Watanabe, M. Hattori, Y. Sakaki, and H. Ishikawa, "Genome sequence of the endocellular bacterial symbiont of aphids Buchnera sp. APS," Nature, vol. 407, no. 6, pp. 81-86, 2000.
15. n-1," Advances in Difference Equations, Article ID 82579, 10 pages, 2006.
16. M. de la Sen and S. Alonso-Quesada, "Model matching via multirate sampling with fast sampled input guaranteeing the stability of the plant zeros: Extensions to adaptive control," IET Control Theory & Applications, vol. 1, no. 1, pp. 210-225, 2007.
17. n)," Applied Mathematics and Computation, vol. 188, no. 1, pp. 180-188, 2007.
18. n-1" AppliedMathematics and Computation, vol. 181, no. 2, pp. 1387-1393, 2006.
19. -xn ," Nonlinear Analysis: Theory, Methods & Applications, vol. 47, no. 7, pp. 4623-4634, 2001.
20. n-3, "Journal of Mathematical Analysis and Applications, vol. 331, no. 1, pp. 230-239, 2007.
21. n-1," Discrete Dynamics in Nature and Society, Article ID 34517, 9 pages, 2007.
22. E. Camouzis and G. Ladas, "Periodically forced Pielou's equation," Journal of Mathematical Analysis and Applications, vol. 333, no. 1, pp. 117-127, 2007.
23. n," Journal of Mathematical Analysis and Applications, vol. 233, no. 2, pp. 790-798, 1999.
24. M. de la Sen, "Robust stabilization of a class of polytopic linear time-varying continuous systems under point delays and saturating controls," Applied Mathematics and Computation, vol. 181, no. 1, pp. 73-83, 2006.
25. M. de la Sen, "Parameter dependent Lyapunov functions for robust stability of time-varying linear systems under point delays," Applied Mathematics and Computation, vol. 179, no. 2, pp. 612-621, 2006.
26. M. de la Sen, "Robust stable pole-placement adaptive control of linear systems with multiestimation," Applied Mathematics and Computation, vol. 172, no. 2, pp. 1145-1174, 2006.
27. 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, no. 1-2, pp. 271-273, 2007.
28. N. Luo and M. Delasen, "State feedback sliding mode control of a class of uncertain time delay systems," IEE Proceedings D: Control Theory and Applications, vol. 140, no. 4, pp. 261-274, 1993.