Sobre la violación del principio de exclusión competitiva
Abstract
When spatial dependence is considered in Lotka-Volterra-like models, the result known as “the competitive exclusion principle” may cease to apply. In this work we show how coexistente is possible when only the weak species has the ability to follow (with a diffusive movement) a transient surplus of the food resoruce which propagates as pa plane wave. A simple change of variables mapsthe problem into a Quantum Mechanical one, which allows to obtain completely analytical results in an example.a
References
Malthus, T.R. 1798. An essay on the principle of population. Peguin Books, 1970.
Mikhailov, A.S. 1981. Effects of diffusion in fluctuating media: a noise-induced phase transition.Z.PhysikB41, 277.
Mikhailov, A.S. 1989.Selected topics in fluctuational kinetics of reactions, Phys. Rep. 184, 308.
Mikhailov, A.S. 1979. Noise-induced phase transition in a biologicalsystem with diffusion), Phys. Lett. 73A, 143.
Muratori, S. y S. Rinaldi. 1989. Remarks on competitive coexistence, SIAM J. Appl. Math. 49, 1462.
Murray, J.D. 1989. Mathematical biology. Springer-Verlag Yasuhiro Takeuchi. Conflict between the nedd to forage and the need to avoid competition: persistence of two-species model Math. Biosci. 181.
Salem, L.D. y R. Montemayor. 1991. A modified Riccati approach to partially solvable quantum Hamiltonians. Phys. Rev. A 43, 1169.
Salem, L.D. 1992. Solvable Models in Quantum Mechanics and their Relation with Algebraic Many Body Model, Ph.D. Thesis, Instituto Balseiro.
Schat, C. y H.S. Wio. 1993. An Exact Analytic Solution of a Three Component Model for Competitive Coexistence. Submitted to Math. Biosc.
Schat, C. 1991. Mathematical aspects of reacting and diffusing systems, M.Sc.Thesis in Physics, Instituto Balseiro.
Takeuchi, Y. 1991. Diffusion-mediated persistence in three-species competition models with heteroclinic cycles Math.. Biosci. 106 111
Takeuchi, Y. 1992.Refuge-mediated global coexistence of multiple competitors on a single resourceWSSIA A 1-531.
Volterra, V. 1927. Variazioni e fluttuazioni del numero d’individui in species animan conviventi R. Comitato Talassografico Italiano Memoria. Pp. 1-142.
Wio, H.S., M.N. Kuperman, B. von Haeften, M. Bellini, R.R. Deza y C. Schat. 1994. Competitive Coexistence in Biological Systems: Exact Analytical Results through a Quantum Mechanical Analogyl ,Kluwer Academic Publishers, The Netherlands (en prensa)
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