Abstract
The Finsler metric is F = e ø L called an ecological metric with perturbation whenL is the m-th root metric of Minkowski, m ≥ 3, (the case m = 2 is Euclidean) and, ø = αixi + ½β 1 (x1)2+½β 2(x2)2, αi and β i being constants. First, this metric is considered in the paper [1] as an applied Volterra Hamilton system of Finsler type: increased species diversity as a non-chemical defense for coral against the crown-of-thorns starfish.
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References
P. Antonelli, Applied Volterra-Hamilton systems of Finsler type: increased species diversity as a non-chemical defense against the crown-of-thorns, in “thaster and the Coral Reef: A Theoretical Perspective”. R. Bradbury, Lect. Notes in Biomath., Vol. 88. 1990, pp. 220–235.
P. Antonelli, On y-Berwald spaces in Hutchinson’ology of social interactions, Tensor, N.S., 52, 1993, 27–36.
P. Antonelli, H. Shimada, On 1-form Finsler connections with constant coefficients, Tensor, N.S., 50, 1991, 263–275.
M. Matsumoto, H. Shimada, On Finsler spaces with 1-form metric, Tensor, N.S., 32, 1978, 161–169.
M. Matsumoto, The main scalar of two-dimensional Finsler spaces with special metric, J. Math. Kyoto Univ., 32, No. 4, 1992, 889–898.
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Shimada, H. (1996). On a Finsler Metric Derived from Ecology. In: Antonelli, P.L., Miron, R. (eds) Lagrange and Finsler Geometry. Fundamental Theories of Physics, vol 76. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8650-4_18
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DOI: https://doi.org/10.1007/978-94-015-8650-4_18
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