Ir al contenido

Documat


Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent

  • Autores: Cosme Duque
  • Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 52, Nº. 1, 2018, págs. 87-105
  • Idioma: inglés
  • DOI: 10.15446/recolma.v1n52.74564
  • Títulos paralelos:
    • Existencia de una única solución casi periódica global asintóticamente estable de un sistema Depredador-Presa con respuesta funcional Beddington-DeAngelis y densamente dependiente
  • Enlaces
  • Referencias bibliográficas
    • R. P. Agarwall, Difference Equations and Inequalities: Theory, Methods
    • and Applications, Marcel Dekker, Inc., New York.
    • R. P. Agarwall and P.J.Y. Wong, Advance Topics in Difference Equations,
    • Kluwer, Dordrecht.
    • J. R. Beddington, Mutual interference between parasities of predators and
    • its effect on searching efficiency, J. Animal. Ecol 44 (1975), 331-340.
    • R. S. Cantrel and C. Cosner, On the dynamics of predator-prey models
    • with Beddington-DeAngelis functional response, J. Math. Anal. Appl. 257
    • (2001), 206-222.
    • R. S. Cantrel and C. Cosner, Effects of domain size on the persistence of populations in a diffusive food chain model with DeAngelis-Beddington...
    • Y. Chen and Z. Zhou, Stable periodic solution of a discrete periodic Lotka-Volterra competition system, J. Math. Anal. Appl. 277 (2003), 358-366.
    • C. Cosner, D. L. DeAngelis, J. S. Ault, and D. B. Olson, Effects of spatial
    • grouping on the functional response of predator, Theoret. Population Biol.
    • (1999), 65-75.
    • D. L. DeAngelis, R. A. Goldstein, and R. V. Neill, A model for trophic
    • interaction, Ecology 56 (1975), 881-892.
    • M. Fan and K. Wang, Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system, Math. Comput. Modelling 35 (2002),...
    • Q. Fang, X. Li, and M. Cao, Dynamics of a discrete predator-prey system with Beddington-DeAngelis function response, Appl. Math. 3 (2012),...
    • H. I. Freedman, Deterministic Mathematics Models in Population Ecology, Marcel Dekker, Inc., New York.
    • H. F. Huo and W. T. Li, Stable periodic solution of the discrete periodic
    • Leslie-Gower predator-prey model, Math. Comput. Modelling 40 (2004),
    • -269.
    • T. W. Hwang, Uniqueness of limit cycles of the predator-prey system
    • with Beddington-DeAngelis functional response, J. Math. Anal. Appl. 281
    • (2003), 395-401.
    • T. W. Hwang, Global analysis of th predator-prey system with Beddington-DeAngelis functional response, J. Math. Anal. Appl. 290 (2004), 113-122.
    • P. Kratina, M. Vos, A. Bateman, and B. R. Anholt, Functional response
    • modified by predator density, Oecologia 159 (2009), 425-433.
    • H. Li and Z. Lu, Stability of ratio-dependent delayed predator-prey system with density regulation, J. Biomath 20 (2005), 264-272.
    • H. Li and Y. Takeuchi, Stability for ratio-dependent predator-prey system with density dependent, Proceedings of the 70th Conference on Biological...
    • H. Li and Y. Takeuchi, Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response, J. Math. Anal....
    • H. Li and Y. Takeuchi, Dynamics of the density dependent and nonautonomous predator-prey system with Beddington-DeAngelis functional response,...
    • Y. Li, T. Zhang, and Y. Ye, On the existence and stability of a unique
    • almost periodic sequence solution in discrete predator-prey models with
    • time delays, Appl. Math. Modelling 35 (2011), 5448-5459.
    • Z. Li and F. Chen, Almost periodic solutions of a discrete almost periodic logistic equation, Math. and Comp. Modelling 50 (2009), 254-259.
    • J. D. Murray, Mathematical Biology, Springer-Verlag, New York.
    • N. M. Pelen, A. F. Güvenilir, and B. Kaymakcalan, Necessary and sufficient condition for the periodic solution of predator-prey system with
    • Beddington-DeAngelis type functional response, Advances in Difference
    • Equations 15 (2016), 1-19.
    • N. M. Pelen, A. F. Güvenilir, and B. Kaymakcalan, Some results on predator-prey dynamic systems with Beddington-DeAngelis type functional...
    • A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations, World Scientific Series on Nonlinear Science. World Scientific, Singapore.
    • J. A. Vucetich, R. O. Peterson, and C. L. Schaeffer, The effect of prey and predator densities on wolf predation.
    • J. Zhang and J. Wang, Periodic solutions for discrete predator-prey sys-
    • tems with the Beddington-DeAngelis functional response.
    • S. N. Zhang and G. Zheng, Almost periodic solutions of delay difference systems.
    • Z. Zhou and X. Zou, Stable periodic solutions in a discrete periodic logistic equations.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno