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Articles

Does a population with the highest turnover coefficient win competition?

Pages 1529-1541 | Received 12 Feb 2017, Accepted 04 Jun 2017, Published online: 19 Jun 2017

References

  • A.S. Ackleh and P.L. Salceanu, Competitive exclusion through discrete time models, in Theory and Applications of Difference Equations and Discrete Dynamical Systems, Springer Proceedings in Mathematics & Statistics Vol. 102, Z. Al Sharawi, J.M. Cushing and S. Elaydi, eds., Springer, Heidelberg, 2014, pp. 3–21.
  • Z. Al Sharawi and M. Rhouma, Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking, J. Differ. Equ. Appl. 15 (2009), pp. 1031–1053.
  • K. Argasinski and M. Broom, The nest site lottery: How selectively neutral density dependent growth suppression induces frequency dependent selection, Theor. Popul. Biol. 90 (2013), pp. 82–90.
  • K. Argasinski and R. Rudnicki, Nest site lottery revisited. Towards the mechanistic model of population growth suppressed by availability of nest sites, J. Theor. Biol. 420 (2017), pp. 279–289.
  • M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, 2001.
  • J.M. Cushing, S. Levarge, N. Chitnis, and S.M. Henson, Some discrete competition models and the competitive exclusion principle, J. Differ. Equ. Appl. 10 (2004), pp. 1139–1151.
  • G.F. Gause, The Struggle for Existence, The Williams & Wilkins Company, Baltimore, 1934.
  • M. Gyllenberg, I. Hanski, and T. Lindström, Continuous versus discrete single species population models with adjustable reproductive strategies, Bull. Math. Biol. 59 (1997), pp. 679–705.
  • P. Liu and S.N. Elaydi, Discrete competitive and cooperative models of Lotka--Volterra type, J. Comput. Anal. Appl. 3 (2001), pp. 53–73.
  • L. Mailleret and V. Lemesle, A note on semi-discrete modelling in the life sciences, Phil. Trans. R. Soc. A 367 (2009), pp. 4779–4799.
  • R.E. Mickens, Advances in the Applications of Nonstandard Finite Difference Schemes, World Scientific, Singapore, 2005.
  • J. Ombach and M. Mazur, Shadowing and likes as C0 generic properties, in Proceedings of the Third Polish Symposium on Nonlinear Analysis, Lecture Notes in Nonlinear Analysis, Juliusz Schauder Center for Nonlinear Studies Vol. 3, W. Kryszewski and A. Nowakowski, eds., Nicholas Copernicus University, Toru\’{n}, 2002, pp. 159–189.
  • R. Rudnicki and R. Wieczorek, Asymptotic analysis of a semelparous species model, Fund. Inform. 103 (2010), pp. 219–233.
  • H. Sedeghat, The impossibility of unstable globally attracting fixed point for continuous mappings of the line, Amer. Math. Monthly 104 (1997), pp. 356–358.
  • H.R. Thieme, Mathematics in Population Biology, Princeton University Press, Princeton, NJ, 2003.
  • L.-I. Wu Roeger and R. Gelca, Dynamically consistent discrete-time Lotka--Volterra competition models, Discrete Contin. Dyn. Syst. Supplement 2009 (2009), pp. 650–658.

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