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A Homotopy Technique for a Linear Generalization of Volterra Models

In: Evolution and Control in Biological Systems

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  • Edoardo Beretta

    (Università di Firenze, Istituto Matematico “Ulisse Dini”)

Abstract

The classical Lotka-Volterra models from papulation dynamics have the structure of the system of O.D.E. $$\frac{{d{x_i}}}{{dt}} = {x_i}({e_i} + \sum\limits_{j \in N} {{a_{ij}}{x_j}} ){\text{ }},{\text{ }}i \in N{\text{ }},$$ Math where N = }1,2,…,n} is the set of all the indices of the variables, ei, aij, i,j ∈ N are suitable real parameters and xi = xi(t) represents the density or the biomass of i-th species at time t.

Suggested Citation

  • Edoardo Beretta, 1989. "A Homotopy Technique for a Linear Generalization of Volterra Models," Springer Books, in: A. B. Kurzhanski & K. Sigmund (ed.), Evolution and Control in Biological Systems, pages 37-47, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2358-4_5
    DOI: 10.1007/978-94-009-2358-4_5
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