Results 11 to 20 of about 3,319 (144)
The constants of Lotka–Volterra derivations [PDF]
European Journal of Mathematics, 2015 Let \(R = K[x_{1},\dots, x_{n}]\) be a polynomial ring over a field \(K\) with characteristic zero. Given parameters \(C_{i}\in K\) (\(1\leq i\leq n\)), the Lotka-Volterra (\(K\)-linear) derivation \(d\) of \(R\) is defined on the generators as follows: \(d(x_{i}) = x_{i}(x_{i-1}-C_{i}x_{i+1})\) where the indexing is circular, that is, \(n+e\) and \(e\)
Hegedus, Pál, Zieliński, Janusz
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The field of rational constants of the Volterra derivation; pp. 133–135 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 We describe the field of rational constants of the four-variable Volterra derivation. Thus, we determine all rational first integrals of its corresponding system of differential equations. Such derivations play a role in population biology, laser physics,
Janusz Zieliński
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Journal of Difference Equations and Applications, 2023 The $q$-Toda equation is derived from replacing ordinary derivatives with $q$-derivatives in the famous Toda equation. In this paper, we associate an extension of the $q$-Toda equation with matrix eigenvalue problems, and then show applications of its time-discretization to computing matrix eigenvalues.
Ryoto Watanabe +2 more
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Jambura Journal of Biomathematics (JJBM), 2021 This paper studies an interaction between one prey and one predator following Lotka-Volterra model with additive Allee effect in predator. The Atangana-Baleanu fractional-order derivative is used for the operator. Since the theoretical ways to investigate the model using this operator are limited, the dynamical behaviors are identified numerically.
Hasan S. Panigoro, Emli Rahmi
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A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
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, 2014 In this paper, we exploit the fact that the dynamics of homogeneous and isotropic Friedmann-Lemaitre universes is a special case of generalized Lotka-Volterra system where the competitive species are the barotropic fluids filling the Universe.
Carletti, Timoteo +4 more
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Complexity, 2019 In this paper, a stochastic Lotka–Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved.
Jinlei Liu, Wencai Zhao
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Reconciling cooperation, biodiversity and stability in complex ecological communities [PDF]
, 2018 Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular displaying cooperative ...
Formentin, Marco +4 more
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Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model [PDF]
, 2006 Cyclic dominance of species has been identified as a potential mechanism to maintain biodiversity, see e.g. B. Kerr, M. A. Riley, M. W. Feldman and B. J. M. Bohannan [Nature {\bf 418}, 171 (2002)] and B. Kirkup and M. A.
C. W. Gardiner +16 more
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Ecological Modelling, 2015 Abstract Extended logistic and competitive Lotka–Volterra equations were developed by Eizi Kuno to understand the implications of population heterogeneity (especially spatial) for population growth. Population heterogeneity, defined as the presence of individuals in some patches of population and not others, is the resulting expression of a number of
Waters, E K +3 more
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