Abstract
A statistical theory of non-equilibrium fluctuation in Volterra-Lotka systems has been presented on the basis of the technique of statistical linearization of non-linear coupled stochastic differential equations.
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Literature
Gardiner, C. G. 1983.Handbook of Stochastic Methods, pp. 270, 273, Berlin: Springer-Verlag.
Goel, N. S., S. C. Maitra and E. W. Montro. 1971. “On the Volterra and Other Non-linear Models of Interacting Populations.”Rev. mod. Phys. 43, 231–276.
Kerner, E. H. 1957. “A Statistical Mechanics of Interacting Biological Species.”Bull. math. Bio Phys. 19, 121–146.
— 1959. “Further Consideration on the Statistical Mechanics of Biological Association.”Bull. math. Biophys. 21, 217–255.
Valsakumar, M. C., K. P. N. Murthy and Ananthakrishna. 1983. “On the Linearization of Nonlinear Langevin Type Stochastic Differential Equations.”J. statist. Phys. 30, 617–631.
Nicolis, G. 1972. “Fluctuation Around Non-equilibrium States in Open Nonlinear Systems.”J. statist. Phys. 6, 195–222.
— and I. Prigogine. 1977.Self-organization in Non-equilibrium Systems. New York: Wiley-InterScience.
Van Kampen, N. G. 1981.Stochastic Processes in Physics and Chemistry. Amsterdam: North-Holland.
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Baishya, M.C., Chakraborti, C.G. Non-equilibrium fluctuation in Volterra-Lotka systems. Bltn Mathcal Biology 49, 125–131 (1987). https://doi.org/10.1007/BF02459962
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DOI: https://doi.org/10.1007/BF02459962