The general equations of biological strife in the case of historical actions

Vito Volterra

doi:10.1017/S0013091500008476

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I have begun to study the laws of the struggle for life by a group of species living in the same environment in such a way that some devour others. I have used for this purpose the so called principle of encounter, considering the encounters of the individuals of the various species, and what follows by reason of the actions that the individuals exercise on one another.

References

^{page 4 note 1} Variazioni e fluttuazioni del numero di individui in specie animali convirenti. Memorie della R. Accademia dei Lincei S. 6, 2 (1926), 31–113.Google Scholar

^{page 5 note 1} Fluctuations dans la lutte pour la vie, leurs lois fondamentales et de reciprocité. Conférence de la réunion internationale des mathématiciens,Paris 1938.Google Scholar

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Dasarathy, Belur V. 1976. Bistate Socioecological Processes Exhibiting Complex Nonlinear Behavior-An Analytical Exposition. IEEE Transactions on Systems, Man, and Cybernetics, Vol. SMC-6, Issue. 4, p. 295.

Brunner, Hermann 1989. Collocation methods for nonlinear Volterra integro-differential equations with infinite delay. Mathematics of Computation, Vol. 53, Issue. 188, p. 571.

Israel, Giorgio and Gasca, Ana Millán 2002. The Biology of Numbers. p. 389.

Brunner, Hermann 2007. High-order collocation methods for singular Volterra functional equations of neutral type. Applied Numerical Mathematics, Vol. 57, Issue. 5-7, p. 533.

Khater, A. H. Shamardan, A. B. Callebaut, D. K. and Sakran, M. R. A. 2007. Numerical solutions of integral and integro-differential equations using Legendre polynomials. Numerical Algorithms, Vol. 46, Issue. 3, p. 195.

Shakourifar, M. and Dehghan, M. 2008. On the numerical solution of nonlinear systems of Volterra integro-differential equations with delay arguments. Computing, Vol. 82, Issue. 4, p. 241.

Shakourifar, Mohammad and Enright, Wayne 2012. Superconvergent interpolants for collocation methods applied to Volterra integro-differential equations with delay. BIT Numerical Mathematics, Vol. 52, Issue. 3, p. 725.

Mercure, Jean-François 2012. FTT:Power : A global model of the power sector with induced technological change and natural resource depletion. Energy Policy, Vol. 48, Issue. , p. 799.

Chen, Yanping and Gu, Zhendong 2013. Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Communications in Applied Mathematics and Computational Science, Vol. 8, Issue. 1, p. 67.

Mercure, J.-F. Pollitt, H. Chewpreecha, U. Salas, P. Foley, A.M. Holden, P.B. and Edwards, N.R. 2014. The dynamics of technology diffusion and the impacts of climate policy instruments in the decarbonisation of the global electricity sector. Energy Policy, Vol. 73, Issue. , p. 686.

Klimenko, Alexander 2015. Intransitivity in Theory and in the Real World. Entropy, Vol. 17, Issue. 6, p. 4364.

Mercure, Jean-François 2018. Fashion, fads and the popularity of choices: Micro-foundations for diffusion consumer theory. Structural Change and Economic Dynamics, Vol. 46, Issue. , p. 194.

Sakran, M.R.A. 2019. Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind. Applied Mathematics and Computation, Vol. 351, Issue. , p. 66.

Odagaki, Takashi 2021. Self-organization of oscillation in an epidemic model for COVID-19. Physica A: Statistical Mechanics and its Applications, Vol. 573, Issue. , p. 125925.

Di Mauro, Letizia Stella Pluchino, Alessandro Conti, Erminia and Mulder, Christian 2022. Ecological validation of soil food-web robustness for managed grasslands. Ecological Indicators, Vol. 141, Issue. , p. 109079.

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