A Homotopy Technique for a Linear Generalization of Volterra Models

Edoardo Beretta
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Edoardo Beretta: Università di Firenze, Istituto Matematico “Ulisse Dini”

A chapter in Evolution and Control in Biological Systems, 1989, pp 37-47 from Springer

Abstract: 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.

Keywords: 92A17; Volterra equations; Ljapunov functions; homotopy path; diffusion (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-94-009-2358-4_5

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