Competitive and Mutualism Model and Constraint Interval Theory
DOI:
https://doi.org/10.5540/03.2025.011.01.0364Palabras clave:
Competition, Mutualism, Interval Theory, Constraint IntervalResumen
In this work we propose to study a competition/mutualism model considering the coefficients of interaction between species by constraint interval representation theory. The dynamics of the competition or mutualism can vary according to resources or population density. So, the interaction between species is defined by an interval coefficient, where the negative values mean cooperation, zero means no interaction and positive means competition.
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M. S. Cecconello, M. T. Mizukoshi, and W. A. Lodwick. “Nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak”. In: Information Sciences 577 (2021), pp. 871–882. doi: 10.1016/j.ins2021.08.045.
J. Hofbauer and K. Sigmund. The Theory of Evolution and Dynamical Systems. London: London Mathematical Society Students Text, 1991. isbn: 0521352886.
J. M. Lang and J. M. Benbow. “Species Interactions and Competition”. In: Nature Education Knowledge 4 (2013), pp. 1–10.
M. T. Mizukoshi, A. Jacquemard, and W. A. Lodwick. “Classification of hyperbolic singularities in interval 3-dimensional linear differential systems”. In: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Vol. 1238. Springer International Publishing, 2020. isbn: 9783030501433.
M. T. Mizukoshi et al. “A formalization of constraint interval: A precursor to fuzzy interval analysis”. In: Fuzzy Sets and Systems 482 (2024), pp. 1–24. issn: 0165-0114. doi: https://doi.org/10.1016/j.fss.2024.108910.
L.L. de Salles Neto, C. Lavor, and W. Lodwick. “A constrained interval approach to the generalized distance geometry problem”. In: Optimization Letters 14 (2020), pp. 483–492. doi: 10.1007/s11590-018-1301-7.
Wei Wei et al. “Applications of Interval Theory in the Evaluation and Decision Making of Power System Projects”. In: Applied Scientific Research and Engineering Developments for Industry. Vol. 385. Applied Mechanics and Materials. Trans Tech Publications Ltd, Nov. 2013, pp. 1873–1878. doi: 10.4028/www.scientific.net/AMM.385-386.1873.
L. Xu et al. In: IET Electric Power Applications. Vol. 3. 2009, pp. 77–84. doi: 10.1049/iet-epa:20070439.
Z. Zhang. “Mutualism or cooperation among competitors promotes coexistence and competitive ability”. In: Ecological Modelling 164 (2003), pp. 271–282. doi: 10.1016/S0304-3800(03)00069-3.
